diff --git a/.buildinfo b/.buildinfo
index e0cb663c4..d5818c619 100644
--- a/.buildinfo
+++ b/.buildinfo
@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: 727afe5c6442a32f15d902474e384f45
+config: 1ca8b0140801f7c3ec4aa565afa5dfb7
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.doctree b/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.doctree
index f0078382a..0925f52c9 100644
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diff --git a/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.doctree b/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.doctree
index 34735d093..597293179 100644
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diff --git a/.doctrees/circuit_cutting/how-tos/how_to_specify_cut_wires.doctree b/.doctrees/circuit_cutting/how-tos/how_to_specify_cut_wires.doctree
index c43024935..fb20ec037 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.doctree b/.doctrees/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.doctree
index ac4685ede..5dcbc1091 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.doctree b/.doctrees/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.doctree
index eae5bc7e1..a9e3ccc95 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.doctree b/.doctrees/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.doctree
index 145f28ded..ba88641de 100644
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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
index 572e35f39..420300dc1 100644
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diff --git a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
index 079f0a20d..57adfc1f8 100644
--- a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
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@@ -326,7 +326,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2831/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2773/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -360,10 +360,10 @@
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@@ -396,10 +396,10 @@
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@@ -548,10 +548,10 @@
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@@ -559,7 +559,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2831/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2773/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -586,10 +586,10 @@
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diff --git a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
index 6901e6676..f7103b985 100644
--- a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
@@ -36,10 +36,10 @@
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@@ -107,10 +107,10 @@
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@@ -138,10 +138,10 @@
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@@ -168,10 +168,10 @@
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@@ -217,10 +217,10 @@
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-     "iopub.status.idle": "2024-08-20T16:41:24.949682Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.949076Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.563419Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.562114Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.568313Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.567560Z"
     }
    },
    "outputs": [],
@@ -255,10 +255,10 @@
    "id": "aafc01ef",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.953498Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.952982Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.959274Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.958513Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.573270Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.571961Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.588380Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.587634Z"
     }
    },
    "outputs": [],
@@ -286,10 +286,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.963318Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.962804Z",
-     "iopub.status.idle": "2024-08-20T16:41:25.061237Z",
-     "shell.execute_reply": "2024-08-20T16:41:25.060357Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.592175Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.591909Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.709375Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.708595Z"
     }
    },
    "outputs": [
@@ -297,7 +297,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3112/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3049/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -339,10 +339,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:25.065392Z",
-     "iopub.status.busy": "2024-08-20T16:41:25.065045Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.883998Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.882756Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.713260Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.712982Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.318733Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.317671Z"
     }
    },
    "outputs": [],
@@ -374,10 +374,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.888953Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.888573Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.915495Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.914547Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.324159Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.323855Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.360216Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.359454Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3112/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3049/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -412,10 +412,10 @@
    "id": "8d54b767",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.919526Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.919036Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.926288Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.925412Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.365361Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.364057Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.377298Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.376552Z"
     }
    },
    "outputs": [
@@ -459,10 +459,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.930088Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.929639Z",
-     "iopub.status.idle": "2024-08-20T16:41:27.562177Z",
-     "shell.execute_reply": "2024-08-20T16:41:27.561397Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.382327Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.381006Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.812289Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.811470Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
index 7e3b19b29..8eb78b57b 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
@@ -16,10 +16,10 @@
    "id": "072055cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:32.647920Z",
-     "iopub.status.busy": "2024-08-20T16:41:32.647426Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.057595Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.056849Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.500645Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.500429Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.890953Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.890251Z"
     }
    },
    "outputs": [],
@@ -47,10 +47,10 @@
    "id": "dc4af922",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.061095Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.060789Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.072952Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.072235Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.894946Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.894242Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.905050Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.904375Z"
     }
    },
    "outputs": [],
@@ -80,10 +80,10 @@
    "id": "d095701f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.075942Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.075528Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.084639Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.083898Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.907719Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.907310Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.915926Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.915182Z"
     }
    },
    "outputs": [],
@@ -109,10 +109,10 @@
    "id": "7a74f709",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.087626Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.087116Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.091489Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.090788Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.918749Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.918240Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.922527Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.921844Z"
     }
    },
    "outputs": [],
@@ -136,10 +136,10 @@
    "id": "7019d781",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.094430Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.093962Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.107170Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.106410Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.924951Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.924751Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.937075Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.936371Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
index 4ba85d461..6579eebda 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
@@ -18,10 +18,10 @@
    "id": "dc54656b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:34.858005Z",
-     "iopub.status.busy": "2024-08-20T16:41:34.857442Z",
-     "iopub.status.idle": "2024-08-20T16:41:35.280459Z",
-     "shell.execute_reply": "2024-08-20T16:41:35.279799Z"
+     "iopub.execute_input": "2024-08-20T20:17:26.511711Z",
+     "iopub.status.busy": "2024-08-20T20:17:26.511386Z",
+     "iopub.status.idle": "2024-08-20T20:17:26.910603Z",
+     "shell.execute_reply": "2024-08-20T20:17:26.909889Z"
     }
    },
    "outputs": [],
@@ -42,10 +42,10 @@
    "id": "dd147239",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:35.283972Z",
-     "iopub.status.busy": "2024-08-20T16:41:35.283518Z",
-     "iopub.status.idle": "2024-08-20T16:41:35.984539Z",
-     "shell.execute_reply": "2024-08-20T16:41:35.983652Z"
+     "iopub.execute_input": "2024-08-20T20:17:26.914578Z",
+     "iopub.status.busy": "2024-08-20T20:17:26.914063Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.576089Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.575274Z"
     }
    },
    "outputs": [
@@ -82,10 +82,10 @@
    "id": "d4ccf5b8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:35.988028Z",
-     "iopub.status.busy": "2024-08-20T16:41:35.987333Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.167047Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.166202Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.578839Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.578562Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.748664Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.747841Z"
     }
    },
    "outputs": [
@@ -117,10 +117,10 @@
    "id": "44956cbb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.169817Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.169601Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.447834Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.446923Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.751734Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.751216Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.962304Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.961611Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "id": "8c56282f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.451439Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.450780Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.530113Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.529265Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.965484Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.965274Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.023170Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.022523Z"
     }
    },
    "outputs": [
@@ -236,10 +236,10 @@
    "id": "78539fcc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.533828Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.533117Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.537962Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.537222Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.026034Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.025825Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.030029Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.029337Z"
     }
    },
    "outputs": [
@@ -269,10 +269,10 @@
    "id": "f07a6cc3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.540549Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.540308Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.546202Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.545381Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.032853Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.032393Z",
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+     "shell.execute_reply": "2024-08-20T20:17:28.038201Z"
     }
    },
    "outputs": [
@@ -319,10 +319,10 @@
    "id": "43d32869",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.548689Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.548489Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.607346Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.606414Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.041651Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.041453Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.097945Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.097233Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
index b068d78ab..c5f6f7c2b 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
@@ -16,10 +16,10 @@
    "id": "1aa871cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:38.701611Z",
-     "iopub.status.busy": "2024-08-20T16:41:38.701054Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.166833Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.165989Z"
+     "iopub.execute_input": "2024-08-20T20:17:30.053244Z",
+     "iopub.status.busy": "2024-08-20T20:17:30.052995Z",
+     "iopub.status.idle": "2024-08-20T20:17:30.460068Z",
+     "shell.execute_reply": "2024-08-20T20:17:30.459361Z"
     }
    },
    "outputs": [],
@@ -55,10 +55,10 @@
    "id": "0ae22516",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:39.170841Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.170439Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.964078Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.963370Z"
+     "iopub.execute_input": "2024-08-20T20:17:30.463498Z",
+     "iopub.status.busy": "2024-08-20T20:17:30.462958Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.185140Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.184464Z"
     }
    },
    "outputs": [
@@ -108,10 +108,10 @@
    "id": "631286a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:39.968015Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.967421Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.319996Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.319228Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.188711Z",
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+     "shell.execute_reply": "2024-08-20T20:17:31.478227Z"
     }
    },
    "outputs": [
@@ -147,10 +147,10 @@
    "id": "847a3205",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:40.323246Z",
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-     "iopub.status.idle": "2024-08-20T16:41:40.326718Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.325953Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.481718Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.481511Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.485314Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.484646Z"
     }
    },
    "outputs": [],
@@ -176,10 +176,10 @@
    "id": "e4ee1559",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.329886Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.329675Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.606022Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.605081Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.487942Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.487466Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.769153Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.768299Z"
     }
    },
    "outputs": [
@@ -218,10 +218,10 @@
    "id": "95fbeda0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.608944Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.608713Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.615170Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.614369Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.772615Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.772395Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.777758Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.777073Z"
     }
    },
    "outputs": [
@@ -257,10 +257,10 @@
    "id": "99bef123",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.617928Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.617711Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.625696Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.624939Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.780771Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.780184Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.789989Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.789305Z"
     }
    },
    "outputs": [],
@@ -296,10 +296,10 @@
    "id": "abeee650",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.629047Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.628531Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.634619Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.633926Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.793012Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.792343Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.797916Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.797253Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "aaef5b3d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.637922Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.637310Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.884859Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.884018Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.800693Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.800214Z",
+     "iopub.status.idle": "2024-08-20T20:17:32.043258Z",
+     "shell.execute_reply": "2024-08-20T20:17:32.042525Z"
     }
    },
    "outputs": [
@@ -354,10 +354,10 @@
    "id": "975a3ca9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.887718Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.887488Z",
-     "iopub.status.idle": "2024-08-20T16:41:41.062885Z",
-     "shell.execute_reply": "2024-08-20T16:41:41.062031Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.046331Z",
+     "iopub.status.busy": "2024-08-20T20:17:32.045820Z",
+     "iopub.status.idle": "2024-08-20T20:17:32.248264Z",
+     "shell.execute_reply": "2024-08-20T20:17:32.247580Z"
     }
    },
    "outputs": [
@@ -391,10 +391,10 @@
    "id": "459dcee8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:41.066494Z",
-     "iopub.status.busy": "2024-08-20T16:41:41.065803Z",
-     "iopub.status.idle": "2024-08-20T16:41:41.161722Z",
-     "shell.execute_reply": "2024-08-20T16:41:41.160955Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.251845Z",
+     "iopub.status.busy": "2024-08-20T20:17:32.251279Z",
+     "iopub.status.idle": "2024-08-20T20:17:32.336871Z",
+     "shell.execute_reply": "2024-08-20T20:17:32.336248Z"
     }
    },
    "outputs": [],
@@ -412,10 +412,10 @@
    "id": "dc9fe287",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:41.165481Z",
-     "iopub.status.busy": "2024-08-20T16:41:41.165191Z",
-     "iopub.status.idle": "2024-08-20T16:41:44.712900Z",
-     "shell.execute_reply": "2024-08-20T16:41:44.712185Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.339707Z",
+     "iopub.status.busy": "2024-08-20T20:17:32.339270Z",
+     "iopub.status.idle": "2024-08-20T20:17:34.906679Z",
+     "shell.execute_reply": "2024-08-20T20:17:34.906040Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "e317a998",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:44.716431Z",
-     "iopub.status.busy": "2024-08-20T16:41:44.716158Z",
-     "iopub.status.idle": "2024-08-20T16:41:47.265353Z",
-     "shell.execute_reply": "2024-08-20T16:41:47.264735Z"
+     "iopub.execute_input": "2024-08-20T20:17:34.910394Z",
+     "iopub.status.busy": "2024-08-20T20:17:34.910156Z",
+     "iopub.status.idle": "2024-08-20T20:17:37.603039Z",
+     "shell.execute_reply": "2024-08-20T20:17:37.602279Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "5ae568ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:47.268344Z",
-     "iopub.status.busy": "2024-08-20T16:41:47.267938Z",
-     "iopub.status.idle": "2024-08-20T16:41:47.278627Z",
-     "shell.execute_reply": "2024-08-20T16:41:47.278011Z"
+     "iopub.execute_input": "2024-08-20T20:17:37.606692Z",
+     "iopub.status.busy": "2024-08-20T20:17:37.606070Z",
+     "iopub.status.idle": "2024-08-20T20:17:37.617468Z",
+     "shell.execute_reply": "2024-08-20T20:17:37.616763Z"
     }
    },
    "outputs": [
@@ -466,10 +466,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.60517186\n",
+      "Reconstructed expectation value: 1.56556785\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: 0.0141816\n",
-      "Relative error in estimation: 0.00891369\n"
+      "Error in estimation: -0.02542241\n",
+      "Relative error in estimation: -0.01597898\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
index 91d72695e..a740e6a41 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
@@ -30,10 +30,10 @@
    "id": "96f5b72a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:49.453222Z",
-     "iopub.status.busy": "2024-08-20T16:41:49.453020Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.446694Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.445946Z"
+     "iopub.execute_input": "2024-08-20T20:17:39.873054Z",
+     "iopub.status.busy": "2024-08-20T20:17:39.872499Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.877990Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.877327Z"
     }
    },
    "outputs": [
@@ -72,10 +72,10 @@
    "id": "f75e8dd1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.449370Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.449071Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.453065Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.452519Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.880760Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.880323Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.883903Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.883247Z"
     }
    },
    "outputs": [],
@@ -103,10 +103,10 @@
    "id": "30326299",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.455548Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.455338Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.485840Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.485160Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.886278Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.885891Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.914666Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.914061Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "6b54be63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.488730Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.488498Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.493662Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.492967Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.917213Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.916859Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.921223Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.920661Z"
     }
    },
    "outputs": [
@@ -164,10 +164,10 @@
    "id": "b7e06fac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.496186Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.495963Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.663056Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.662273Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.923830Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.923335Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.083016Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.082312Z"
     }
    },
    "outputs": [
@@ -193,10 +193,10 @@
    "id": "11e45e83",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.665703Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.665468Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.883393Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.882682Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.085458Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.085255Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.282472Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.281838Z"
     }
    },
    "outputs": [
@@ -241,10 +241,10 @@
    "id": "3d606ef8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.886092Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.885678Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.889560Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.888836Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.285269Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.284898Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.288913Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.288287Z"
     }
    },
    "outputs": [
@@ -280,10 +280,10 @@
    "id": "2029d18e-0e91-4160-b8c9-02cb9e1ba3cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.892070Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.891688Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.994508Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.993909Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.291122Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.290922Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.395699Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.395146Z"
     }
    },
    "outputs": [],
@@ -311,10 +311,10 @@
    "id": "36c89aa0-70aa-4615-8198-77ec85e8aa93",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.997505Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.997078Z",
-     "iopub.status.idle": "2024-08-20T16:41:51.560198Z",
-     "shell.execute_reply": "2024-08-20T16:41:51.559604Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.398079Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.397878Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.914173Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.913581Z"
     }
    },
    "outputs": [],
@@ -340,10 +340,10 @@
    "id": "184e0f36-1279-48a3-aab7-b7603bb71f66",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:51.563457Z",
-     "iopub.status.busy": "2024-08-20T16:41:51.562924Z",
-     "iopub.status.idle": "2024-08-20T16:41:53.791516Z",
-     "shell.execute_reply": "2024-08-20T16:41:53.790724Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.917434Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.916899Z",
+     "iopub.status.idle": "2024-08-20T20:17:44.049302Z",
+     "shell.execute_reply": "2024-08-20T20:17:44.048546Z"
     }
    },
    "outputs": [],
@@ -372,10 +372,10 @@
    "id": "2dbb8148-0482-4a66-8316-335125f8a2b3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:53.794639Z",
-     "iopub.status.busy": "2024-08-20T16:41:53.794355Z",
-     "iopub.status.idle": "2024-08-20T16:41:54.135984Z",
-     "shell.execute_reply": "2024-08-20T16:41:54.123034Z"
+     "iopub.execute_input": "2024-08-20T20:17:44.052509Z",
+     "iopub.status.busy": "2024-08-20T20:17:44.052114Z",
+     "iopub.status.idle": "2024-08-20T20:17:44.370872Z",
+     "shell.execute_reply": "2024-08-20T20:17:44.365244Z"
     }
    },
    "outputs": [],
@@ -398,10 +398,10 @@
    "id": "64cef60b-5130-467e-8e01-7460d78560ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:54.163722Z",
-     "iopub.status.busy": "2024-08-20T16:41:54.161928Z",
-     "iopub.status.idle": "2024-08-20T16:42:07.772728Z",
-     "shell.execute_reply": "2024-08-20T16:42:07.772115Z"
+     "iopub.execute_input": "2024-08-20T20:17:44.393901Z",
+     "iopub.status.busy": "2024-08-20T20:17:44.393683Z",
+     "iopub.status.idle": "2024-08-20T20:17:57.728844Z",
+     "shell.execute_reply": "2024-08-20T20:17:57.728124Z"
     }
    },
    "outputs": [],
@@ -426,10 +426,10 @@
    "id": "7d57339c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:07.775889Z",
-     "iopub.status.busy": "2024-08-20T16:42:07.775459Z",
-     "iopub.status.idle": "2024-08-20T16:42:10.646585Z",
-     "shell.execute_reply": "2024-08-20T16:42:10.645985Z"
+     "iopub.execute_input": "2024-08-20T20:17:57.732018Z",
+     "iopub.status.busy": "2024-08-20T20:17:57.731543Z",
+     "iopub.status.idle": "2024-08-20T20:18:00.644697Z",
+     "shell.execute_reply": "2024-08-20T20:18:00.644024Z"
     }
    },
    "outputs": [],
@@ -461,10 +461,10 @@
    "id": "e3385ba5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:10.649760Z",
-     "iopub.status.busy": "2024-08-20T16:42:10.649350Z",
-     "iopub.status.idle": "2024-08-20T16:42:10.663037Z",
-     "shell.execute_reply": "2024-08-20T16:42:10.662439Z"
+     "iopub.execute_input": "2024-08-20T20:18:00.647609Z",
+     "iopub.status.busy": "2024-08-20T20:18:00.647191Z",
+     "iopub.status.idle": "2024-08-20T20:18:00.660855Z",
+     "shell.execute_reply": "2024-08-20T20:18:00.660338Z"
     }
    },
    "outputs": [
@@ -472,10 +472,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.48201293\n",
+      "Reconstructed expectation value: 0.4468137\n",
       "Exact expectation value: 0.56254612\n",
-      "Error in estimation: -0.0805332\n",
-      "Relative error in estimation: -0.14315839\n"
+      "Error in estimation: -0.11573242\n",
+      "Relative error in estimation: -0.20572966\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
index a512ff4bf..94fbe6fd5 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
@@ -30,10 +30,10 @@
    "id": "54ed0f13",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:13.092746Z",
-     "iopub.status.busy": "2024-08-20T16:42:13.092531Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.167408Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.166582Z"
+     "iopub.execute_input": "2024-08-20T20:18:02.801851Z",
+     "iopub.status.busy": "2024-08-20T20:18:02.801662Z",
+     "iopub.status.idle": "2024-08-20T20:18:03.790929Z",
+     "shell.execute_reply": "2024-08-20T20:18:03.790177Z"
     }
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    "outputs": [
@@ -71,10 +71,10 @@
    "id": "105e858d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.170578Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.169894Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.174176Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.173480Z"
+     "iopub.execute_input": "2024-08-20T20:18:03.793813Z",
+     "iopub.status.busy": "2024-08-20T20:18:03.793300Z",
+     "iopub.status.idle": "2024-08-20T20:18:03.797096Z",
+     "shell.execute_reply": "2024-08-20T20:18:03.796552Z"
     }
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    "outputs": [],
@@ -100,10 +100,10 @@
    "id": "756f2130-6947-479a-9fe7-97443c87a904",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.176920Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.176491Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.747578Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.746969Z"
+     "iopub.execute_input": "2024-08-20T20:18:03.799528Z",
+     "iopub.status.busy": "2024-08-20T20:18:03.799173Z",
+     "iopub.status.idle": "2024-08-20T20:18:04.323222Z",
+     "shell.execute_reply": "2024-08-20T20:18:04.322641Z"
     }
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    "outputs": [],
@@ -129,10 +129,10 @@
    "id": "b394da7a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.750965Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.750224Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.784775Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.784034Z"
+     "iopub.execute_input": "2024-08-20T20:18:04.326352Z",
+     "iopub.status.busy": "2024-08-20T20:18:04.325936Z",
+     "iopub.status.idle": "2024-08-20T20:18:04.359347Z",
+     "shell.execute_reply": "2024-08-20T20:18:04.358609Z"
     }
    },
    "outputs": [
@@ -147,7 +147,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4001/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  print(f\"Transpiled circuit depth: {transpiled_qc.depth(lambda x: len(x[1]) >= 2)}\")\n"
      ]
     }
@@ -169,10 +169,10 @@
    "id": "4fe4af43",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.787654Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.787220Z",
-     "iopub.status.idle": "2024-08-20T16:42:15.495144Z",
-     "shell.execute_reply": "2024-08-20T16:42:15.494411Z"
+     "iopub.execute_input": "2024-08-20T20:18:04.361844Z",
+     "iopub.status.busy": "2024-08-20T20:18:04.361460Z",
+     "iopub.status.idle": "2024-08-20T20:18:05.055670Z",
+     "shell.execute_reply": "2024-08-20T20:18:05.054950Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "id": "12e73c69",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:15.498016Z",
-     "iopub.status.busy": "2024-08-20T16:42:15.497607Z",
-     "iopub.status.idle": "2024-08-20T16:42:15.787216Z",
-     "shell.execute_reply": "2024-08-20T16:42:15.786468Z"
+     "iopub.execute_input": "2024-08-20T20:18:05.058316Z",
+     "iopub.status.busy": "2024-08-20T20:18:05.057900Z",
+     "iopub.status.idle": "2024-08-20T20:18:05.361680Z",
+     "shell.execute_reply": "2024-08-20T20:18:05.360980Z"
     }
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    "outputs": [
@@ -263,10 +263,10 @@
    "id": "83b1efed-bafa-48c4-bbf0-cf7eb9027ac5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:15.789984Z",
-     "iopub.status.busy": "2024-08-20T16:42:15.789559Z",
-     "iopub.status.idle": "2024-08-20T16:42:16.758462Z",
-     "shell.execute_reply": "2024-08-20T16:42:16.757751Z"
+     "iopub.execute_input": "2024-08-20T20:18:05.364558Z",
+     "iopub.status.busy": "2024-08-20T20:18:05.364188Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.276826Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.276136Z"
     }
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    "outputs": [],
@@ -298,10 +298,10 @@
    "id": "c7b28e2c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:16.761707Z",
-     "iopub.status.busy": "2024-08-20T16:42:16.761200Z",
-     "iopub.status.idle": "2024-08-20T16:42:16.765171Z",
-     "shell.execute_reply": "2024-08-20T16:42:16.764489Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.279944Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.279457Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.283060Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.282408Z"
     }
    },
    "outputs": [
@@ -333,10 +333,10 @@
    "id": "70e2f1b6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:16.768039Z",
-     "iopub.status.busy": "2024-08-20T16:42:16.767511Z",
-     "iopub.status.idle": "2024-08-20T16:42:17.265381Z",
-     "shell.execute_reply": "2024-08-20T16:42:17.264688Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.285827Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.285343Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.754371Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.753731Z"
     }
    },
    "outputs": [
@@ -352,9 +352,9 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4001/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  f\"Original circuit depth after transpile: {transpiled_qc.depth(lambda x: len(x[1]) >= 2)}\"\n",
-      "/tmp/ipykernel_4001/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  f\"QPD subexperiment depth after transpile: {transpiled_qpd_circuit.depth(lambda x: len(x[1]) >= 2)}\"\n"
      ]
     },
@@ -397,10 +397,10 @@
    "id": "16968c09-13f0-499b-91d0-91b58f1ce6eb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:17.268500Z",
-     "iopub.status.busy": "2024-08-20T16:42:17.267985Z",
-     "iopub.status.idle": "2024-08-20T16:42:25.342439Z",
-     "shell.execute_reply": "2024-08-20T16:42:25.341640Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.756899Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.756689Z",
+     "iopub.status.idle": "2024-08-20T20:18:13.987247Z",
+     "shell.execute_reply": "2024-08-20T20:18:13.986452Z"
     }
    },
    "outputs": [],
@@ -423,10 +423,10 @@
    "id": "a83922bc-0489-4ee5-a2b6-796103aae9bb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:25.347040Z",
-     "iopub.status.busy": "2024-08-20T16:42:25.346012Z",
-     "iopub.status.idle": "2024-08-20T16:43:06.810430Z",
-     "shell.execute_reply": "2024-08-20T16:43:06.809673Z"
+     "iopub.execute_input": "2024-08-20T20:18:13.995815Z",
+     "iopub.status.busy": "2024-08-20T20:18:13.995177Z",
+     "iopub.status.idle": "2024-08-20T20:18:54.710500Z",
+     "shell.execute_reply": "2024-08-20T20:18:54.709907Z"
     }
    },
    "outputs": [],
@@ -451,10 +451,10 @@
    "id": "ace12f7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:43:06.813773Z",
-     "iopub.status.busy": "2024-08-20T16:43:06.813264Z",
-     "iopub.status.idle": "2024-08-20T16:43:09.079928Z",
-     "shell.execute_reply": "2024-08-20T16:43:09.079270Z"
+     "iopub.execute_input": "2024-08-20T20:18:54.713533Z",
+     "iopub.status.busy": "2024-08-20T20:18:54.713134Z",
+     "iopub.status.idle": "2024-08-20T20:18:57.013804Z",
+     "shell.execute_reply": "2024-08-20T20:18:57.013140Z"
     }
    },
    "outputs": [],
@@ -484,10 +484,10 @@
    "id": "4928e703",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:43:09.083115Z",
-     "iopub.status.busy": "2024-08-20T16:43:09.082640Z",
-     "iopub.status.idle": "2024-08-20T16:43:09.096642Z",
-     "shell.execute_reply": "2024-08-20T16:43:09.095992Z"
+     "iopub.execute_input": "2024-08-20T20:18:57.016667Z",
+     "iopub.status.busy": "2024-08-20T20:18:57.016301Z",
+     "iopub.status.idle": "2024-08-20T20:18:57.030202Z",
+     "shell.execute_reply": "2024-08-20T20:18:57.029593Z"
     }
    },
    "outputs": [
@@ -495,10 +495,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.53271484\n",
+      "Reconstructed expectation value: 0.3046875\n",
       "Exact expectation value: 0.50497603\n",
-      "Error in estimation: 0.02773881\n",
-      "Relative error in estimation: 0.05493095\n"
+      "Error in estimation: -0.20028853\n",
+      "Relative error in estimation: -0.39662978\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
index 35fd8de49..cccf765cf 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
@@ -32,17 +32,17 @@
    "id": "3bcae0ed-4308-4686-b85c-8595c6e916bc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:08.474979Z",
-     "iopub.status.busy": "2024-08-20T16:41:08.474640Z",
-     "iopub.status.idle": "2024-08-20T16:41:08.917872Z",
-     "shell.execute_reply": "2024-08-20T16:41:08.917055Z"
+     "iopub.execute_input": "2024-08-20T20:17:02.443426Z",
+     "iopub.status.busy": "2024-08-20T20:17:02.443153Z",
+     "iopub.status.idle": "2024-08-20T20:17:02.969402Z",
+     "shell.execute_reply": "2024-08-20T20:17:02.968737Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fa214f87f70>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7fb3d8200fd0>"
       ]
      },
      "execution_count": 1,
@@ -74,10 +74,10 @@
    "id": "1dcaff2d-2d1b-4cc0-87d1-0f4f5de823ff",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:08.923727Z",
-     "iopub.status.busy": "2024-08-20T16:41:08.922276Z",
-     "iopub.status.idle": "2024-08-20T16:41:09.644230Z",
-     "shell.execute_reply": "2024-08-20T16:41:09.643363Z"
+     "iopub.execute_input": "2024-08-20T20:17:02.973026Z",
+     "iopub.status.busy": "2024-08-20T20:17:02.972445Z",
+     "iopub.status.idle": "2024-08-20T20:17:03.670783Z",
+     "shell.execute_reply": "2024-08-20T20:17:03.669917Z"
     }
    },
    "outputs": [
@@ -111,10 +111,10 @@
    "id": "b791aa42-c485-453b-a110-3c790194adaf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:09.647344Z",
-     "iopub.status.busy": "2024-08-20T16:41:09.646814Z",
-     "iopub.status.idle": "2024-08-20T16:41:09.650919Z",
-     "shell.execute_reply": "2024-08-20T16:41:09.650178Z"
+     "iopub.execute_input": "2024-08-20T20:17:03.674336Z",
+     "iopub.status.busy": "2024-08-20T20:17:03.673856Z",
+     "iopub.status.idle": "2024-08-20T20:17:03.677708Z",
+     "shell.execute_reply": "2024-08-20T20:17:03.677039Z"
     }
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    "outputs": [],
@@ -144,10 +144,10 @@
    "id": "22f19d29-a182-4758-b5d0-6b66f9a946be",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:09.653991Z",
-     "iopub.status.busy": "2024-08-20T16:41:09.653421Z",
-     "iopub.status.idle": "2024-08-20T16:41:09.999577Z",
-     "shell.execute_reply": "2024-08-20T16:41:09.998699Z"
+     "iopub.execute_input": "2024-08-20T20:17:03.680056Z",
+     "iopub.status.busy": "2024-08-20T20:17:03.679862Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.021309Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.020608Z"
     }
    },
    "outputs": [
@@ -200,10 +200,10 @@
    "id": "d33d5580-879f-466f-ac87-dcc6a19fbab6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.002188Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.001974Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.005847Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.005157Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.024691Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.024481Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.028178Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.027453Z"
     }
    },
    "outputs": [],
@@ -227,10 +227,10 @@
    "id": "fc3738c7-2bb2-4d67-ae2b-7a3090b31e6a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.008272Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.008074Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.021804Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.021103Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.031432Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.030947Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.041764Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.041027Z"
     }
    },
    "outputs": [],
@@ -259,10 +259,10 @@
    "id": "9c53a862-f762-471a-bda7-b27e88292ac9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.025023Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.024441Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.031303Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.030574Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.044689Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.044140Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.049111Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.048381Z"
     }
    },
    "outputs": [
@@ -288,10 +288,10 @@
    "id": "69df912e-6709-45bb-8eb3-c66a70edefdc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.034340Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.034086Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.289266Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.288336Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.051932Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.051414Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.293053Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.292268Z"
     }
    },
    "outputs": [
@@ -317,10 +317,10 @@
    "id": "d851adcb-e524-48c8-8adc-0d1606613c8d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.291976Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.291762Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.480659Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.479762Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.296087Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.295489Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.462269Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.461591Z"
     }
    },
    "outputs": [
@@ -358,10 +358,10 @@
    "id": "7af74c54-3e68-4d58-a2e6-02bc212d911d",
    "metadata": {
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@@ -395,10 +395,10 @@
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@@ -426,10 +426,10 @@
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@@ -573,10 +573,10 @@
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    "outputs": [
@@ -584,10 +584,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.48091096\n",
+      "Reconstructed expectation value: 1.41945803\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.1100793\n",
-      "Relative error in estimation: -0.06918917\n"
+      "Error in estimation: -0.17153223\n",
+      "Relative error in estimation: -0.10781476\n"
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diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
index 5c75cef05..c1a9b3bc7 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
@@ -19,10 +19,10 @@
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@@ -62,10 +62,10 @@
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@@ -131,10 +131,10 @@
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@@ -170,10 +170,10 @@
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@@ -203,10 +203,10 @@
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@@ -231,10 +231,10 @@
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diff --git a/_images/circuit_knitting-cutting-instructions-Move-1.svg b/_images/circuit_knitting-cutting-instructions-Move-1.svg
index 7006e163e..5200b1fb8 100644
--- a/_images/circuit_knitting-cutting-instructions-Move-1.svg
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diff --git a/_images/index-1.svg b/_images/index-1.svg
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diff --git a/_modules/circuit_knitting/cutting/instructions/cut_wire.html b/_modules/circuit_knitting/cutting/instructions/cut_wire.html
index d5cf4df2c..24c0fdb5c 100644
--- a/_modules/circuit_knitting/cutting/instructions/cut_wire.html
+++ b/_modules/circuit_knitting/cutting/instructions/cut_wire.html
@@ -299,7 +299,7 @@
         </div>
         <article role="main">
           <h1>Source code for circuit_knitting.cutting.instructions.cut_wire</h1><div class="highlight"><pre>
-<span></span><span class="c1"># This code is part of Qiskit.</span>
+<span></span><span class="c1"># This code is a Qiskit project.</span>
 <span class="c1">#</span>
 <span class="c1"># (C) Copyright IBM 2023.</span>
 <span class="c1">#</span>
diff --git a/_modules/circuit_knitting/cutting/instructions/move.html b/_modules/circuit_knitting/cutting/instructions/move.html
index 6bb5f71ac..7a752ae4c 100644
--- a/_modules/circuit_knitting/cutting/instructions/move.html
+++ b/_modules/circuit_knitting/cutting/instructions/move.html
@@ -299,7 +299,7 @@
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         <article role="main">
           <h1>Source code for circuit_knitting.cutting.instructions.move</h1><div class="highlight"><pre>
-<span></span><span class="c1"># This code is part of Qiskit.</span>
+<span></span><span class="c1"># This code is a Qiskit project.</span>
 <span class="c1">#</span>
 <span class="c1"># (C) Copyright IBM 2023.</span>
 <span class="c1">#</span>
diff --git a/_modules/circuit_knitting/cutting/qpd/instructions/qpd_gate.html b/_modules/circuit_knitting/cutting/qpd/instructions/qpd_gate.html
index 8f41da024..90acd7c3d 100644
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+++ b/_modules/circuit_knitting/cutting/qpd/instructions/qpd_gate.html
@@ -299,7 +299,7 @@
         </div>
         <article role="main">
           <h1>Source code for circuit_knitting.cutting.qpd.instructions.qpd_gate</h1><div class="highlight"><pre>
-<span></span><span class="c1"># This code is part of Qiskit.</span>
+<span></span><span class="c1"># This code is a Qiskit project.</span>
 <span class="c1">#</span>
 <span class="c1"># (C) Copyright IBM 2023.</span>
 <span class="c1">#</span>
diff --git a/_modules/circuit_knitting/cutting/wire_cutting_transforms.html b/_modules/circuit_knitting/cutting/wire_cutting_transforms.html
index dcc21ddba..5d9d11c1d 100644
--- a/_modules/circuit_knitting/cutting/wire_cutting_transforms.html
+++ b/_modules/circuit_knitting/cutting/wire_cutting_transforms.html
@@ -299,7 +299,7 @@
         </div>
         <article role="main">
           <h1>Source code for circuit_knitting.cutting.wire_cutting_transforms</h1><div class="highlight"><pre>
-<span></span><span class="c1"># This code is part of Qiskit.</span>
+<span></span><span class="c1"># This code is a Qiskit project.</span>
 <span class="c1">#</span>
 <span class="c1"># (C) Copyright IBM 2023.</span>
 <span class="c1">#</span>
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
index 9dfec1d23..733e275ea 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
+++ b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
@@ -500,7 +500,7 @@ <h2>Evaluate the subcircuits<a class="headerlink" href="#Evaluate-the-subcircuit
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_2831/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_2773/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   subcircuit_instance_probabilities = evaluate_subcircuits(cuts)
 </pre></div></div>
 </div>
@@ -629,7 +629,7 @@ <h2>Verify the results<a class="headerlink" href="#Verify-the-results" title="Li
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_2831/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_2773/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)
 </pre></div></div>
 </div>
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
index 079f0a20d..57adfc1f8 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
+++ b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
@@ -36,10 +36,10 @@
    "id": "eb859bde",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:09.289298Z",
-     "iopub.status.busy": "2024-08-20T16:41:09.288771Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.626450Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.625562Z"
+     "iopub.execute_input": "2024-08-20T20:17:03.235670Z",
+     "iopub.status.busy": "2024-08-20T20:17:03.234846Z",
+     "iopub.status.idle": "2024-08-20T20:17:04.531992Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.531072Z"
     }
    },
    "outputs": [
@@ -95,10 +95,10 @@
    "id": "8c11457a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.630058Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.629742Z",
-     "iopub.status.idle": "2024-08-20T16:41:11.588660Z",
-     "shell.execute_reply": "2024-08-20T16:41:11.587685Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.534720Z",
+     "iopub.status.busy": "2024-08-20T20:17:04.534458Z",
+     "iopub.status.idle": "2024-08-20T20:17:05.374872Z",
+     "shell.execute_reply": "2024-08-20T20:17:05.374018Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "465733e2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:11.593019Z",
-     "iopub.status.busy": "2024-08-20T16:41:11.592397Z",
-     "iopub.status.idle": "2024-08-20T16:41:11.597128Z",
-     "shell.execute_reply": "2024-08-20T16:41:11.596477Z"
+     "iopub.execute_input": "2024-08-20T20:17:05.378486Z",
+     "iopub.status.busy": "2024-08-20T20:17:05.377900Z",
+     "iopub.status.idle": "2024-08-20T20:17:05.382337Z",
+     "shell.execute_reply": "2024-08-20T20:17:05.381523Z"
     }
    },
    "outputs": [
@@ -168,10 +168,10 @@
    "id": "938f7733",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:11.600330Z",
-     "iopub.status.busy": "2024-08-20T16:41:11.599890Z",
-     "iopub.status.idle": "2024-08-20T16:41:11.992278Z",
-     "shell.execute_reply": "2024-08-20T16:41:11.991505Z"
+     "iopub.execute_input": "2024-08-20T20:17:05.385284Z",
+     "iopub.status.busy": "2024-08-20T20:17:05.384726Z",
+     "iopub.status.idle": "2024-08-20T20:17:05.704215Z",
+     "shell.execute_reply": "2024-08-20T20:17:05.703349Z"
     }
    },
    "outputs": [
@@ -198,10 +198,10 @@
    "id": "1c3a5712",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:11.996242Z",
-     "iopub.status.busy": "2024-08-20T16:41:11.995682Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.246946Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.246030Z"
+     "iopub.execute_input": "2024-08-20T20:17:05.708196Z",
+     "iopub.status.busy": "2024-08-20T20:17:05.707874Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.019029Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.018489Z"
     }
    },
    "outputs": [
@@ -247,10 +247,10 @@
    "id": "5d1fb2ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.250126Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.249851Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.253774Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.252951Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.021898Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.021684Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.024979Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.024426Z"
     }
    },
    "outputs": [],
@@ -282,10 +282,10 @@
    "id": "3cc622d9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.257042Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.256474Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.261016Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.260283Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.027655Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.027193Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.031485Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.030970Z"
     }
    },
    "outputs": [],
@@ -315,10 +315,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.263965Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.263513Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.482078Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.481300Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.034326Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.033740Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.204985Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.204111Z"
     }
    },
    "outputs": [
@@ -326,7 +326,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2831/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2773/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -360,10 +360,10 @@
    "id": "fa22661e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.485395Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.484960Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.489056Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.488300Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.209017Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.208352Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.213126Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.212335Z"
     }
    },
    "outputs": [
@@ -396,10 +396,10 @@
    "id": "7e57f303",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.491891Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.491577Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.495775Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.494900Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.216613Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.216322Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.221222Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.220428Z"
     }
    },
    "outputs": [
@@ -435,10 +435,10 @@
    "id": "3ec4d42c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.498765Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.498228Z",
-     "iopub.status.idle": "2024-08-20T16:41:12.502784Z",
-     "shell.execute_reply": "2024-08-20T16:41:12.501940Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.225176Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.224497Z",
+     "iopub.status.idle": "2024-08-20T20:17:06.229721Z",
+     "shell.execute_reply": "2024-08-20T20:17:06.228952Z"
     }
    },
    "outputs": [
@@ -478,10 +478,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:12.505799Z",
-     "iopub.status.busy": "2024-08-20T16:41:12.505295Z",
-     "iopub.status.idle": "2024-08-20T16:41:13.885828Z",
-     "shell.execute_reply": "2024-08-20T16:41:13.884665Z"
+     "iopub.execute_input": "2024-08-20T20:17:06.233194Z",
+     "iopub.status.busy": "2024-08-20T20:17:06.232764Z",
+     "iopub.status.idle": "2024-08-20T20:17:07.326590Z",
+     "shell.execute_reply": "2024-08-20T20:17:07.325713Z"
     }
    },
    "outputs": [],
@@ -511,10 +511,10 @@
    "id": "919958cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:13.891075Z",
-     "iopub.status.busy": "2024-08-20T16:41:13.890523Z",
-     "iopub.status.idle": "2024-08-20T16:41:13.895213Z",
-     "shell.execute_reply": "2024-08-20T16:41:13.894525Z"
+     "iopub.execute_input": "2024-08-20T20:17:07.330148Z",
+     "iopub.status.busy": "2024-08-20T20:17:07.329677Z",
+     "iopub.status.idle": "2024-08-20T20:17:07.334027Z",
+     "shell.execute_reply": "2024-08-20T20:17:07.333264Z"
     }
    },
    "outputs": [
@@ -548,10 +548,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:13.898894Z",
-     "iopub.status.busy": "2024-08-20T16:41:13.898400Z",
-     "iopub.status.idle": "2024-08-20T16:41:13.911144Z",
-     "shell.execute_reply": "2024-08-20T16:41:13.910259Z"
+     "iopub.execute_input": "2024-08-20T20:17:07.336787Z",
+     "iopub.status.busy": "2024-08-20T20:17:07.336584Z",
+     "iopub.status.idle": "2024-08-20T20:17:07.346531Z",
+     "shell.execute_reply": "2024-08-20T20:17:07.345731Z"
     }
    },
    "outputs": [
@@ -559,7 +559,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2831/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2773/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -586,10 +586,10 @@
    "id": "673d3cb3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:13.914708Z",
-     "iopub.status.busy": "2024-08-20T16:41:13.914171Z",
-     "iopub.status.idle": "2024-08-20T16:41:13.920434Z",
-     "shell.execute_reply": "2024-08-20T16:41:13.919629Z"
+     "iopub.execute_input": "2024-08-20T20:17:07.349519Z",
+     "iopub.status.busy": "2024-08-20T20:17:07.349010Z",
+     "iopub.status.idle": "2024-08-20T20:17:07.354443Z",
+     "shell.execute_reply": "2024-08-20T20:17:07.353752Z"
     }
    },
    "outputs": [
@@ -633,10 +633,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:13.924085Z",
-     "iopub.status.busy": "2024-08-20T16:41:13.923529Z",
-     "iopub.status.idle": "2024-08-20T16:41:14.200465Z",
-     "shell.execute_reply": "2024-08-20T16:41:14.199793Z"
+     "iopub.execute_input": "2024-08-20T20:17:07.357238Z",
+     "iopub.status.busy": "2024-08-20T20:17:07.357037Z",
+     "iopub.status.idle": "2024-08-20T20:17:07.577993Z",
+     "shell.execute_reply": "2024-08-20T20:17:07.577204Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
index 18caf7ec7..09ebe4920 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
+++ b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
@@ -480,7 +480,7 @@ <h2>Evaluate the subcircuits<a class="headerlink" href="#Evaluate-the-subcircuit
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_3112/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_3049/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   subcircuit_instance_probabilities = evaluate_subcircuits(cuts)
 </pre></div></div>
 </div>
@@ -524,7 +524,7 @@ <h2>Verify the results<a class="headerlink" href="#Verify-the-results" title="Li
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_3112/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_3049/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)
 </pre></div></div>
 </div>
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
index 6901e6676..f7103b985 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
+++ b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
@@ -36,10 +36,10 @@
    "id": "eb859bde",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:21.701084Z",
-     "iopub.status.busy": "2024-08-20T16:41:21.700464Z",
-     "iopub.status.idle": "2024-08-20T16:41:23.521309Z",
-     "shell.execute_reply": "2024-08-20T16:41:23.520462Z"
+     "iopub.execute_input": "2024-08-20T20:17:14.661048Z",
+     "iopub.status.busy": "2024-08-20T20:17:14.660768Z",
+     "iopub.status.idle": "2024-08-20T20:17:16.189202Z",
+     "shell.execute_reply": "2024-08-20T20:17:16.188299Z"
     }
    },
    "outputs": [
@@ -107,10 +107,10 @@
    "id": "8c11457a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:23.532394Z",
-     "iopub.status.busy": "2024-08-20T16:41:23.531949Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.555934Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.554758Z"
+     "iopub.execute_input": "2024-08-20T20:17:16.193110Z",
+     "iopub.status.busy": "2024-08-20T20:17:16.192538Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.160479Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.159642Z"
     }
    },
    "outputs": [],
@@ -138,10 +138,10 @@
    "id": "5816c27f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.560327Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.559785Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.770428Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.769531Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.167345Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.166985Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.380423Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.379634Z"
     }
    },
    "outputs": [
@@ -168,10 +168,10 @@
    "id": "5f605d57",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.776218Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.774802Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.941173Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.940454Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.384670Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.384226Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.558249Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.557489Z"
     }
    },
    "outputs": [
@@ -217,10 +217,10 @@
    "id": "7fd84c6e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.944964Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.944710Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.949682Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.949076Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.563419Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.562114Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.568313Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.567560Z"
     }
    },
    "outputs": [],
@@ -255,10 +255,10 @@
    "id": "aafc01ef",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.953498Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.952982Z",
-     "iopub.status.idle": "2024-08-20T16:41:24.959274Z",
-     "shell.execute_reply": "2024-08-20T16:41:24.958513Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.573270Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.571961Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.588380Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.587634Z"
     }
    },
    "outputs": [],
@@ -286,10 +286,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:24.963318Z",
-     "iopub.status.busy": "2024-08-20T16:41:24.962804Z",
-     "iopub.status.idle": "2024-08-20T16:41:25.061237Z",
-     "shell.execute_reply": "2024-08-20T16:41:25.060357Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.592175Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.591909Z",
+     "iopub.status.idle": "2024-08-20T20:17:17.709375Z",
+     "shell.execute_reply": "2024-08-20T20:17:17.708595Z"
     }
    },
    "outputs": [
@@ -297,7 +297,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3112/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3049/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -339,10 +339,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:25.065392Z",
-     "iopub.status.busy": "2024-08-20T16:41:25.065045Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.883998Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.882756Z"
+     "iopub.execute_input": "2024-08-20T20:17:17.713260Z",
+     "iopub.status.busy": "2024-08-20T20:17:17.712982Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.318733Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.317671Z"
     }
    },
    "outputs": [],
@@ -374,10 +374,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.888953Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.888573Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.915495Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.914547Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.324159Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.323855Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.360216Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.359454Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3112/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3049/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -412,10 +412,10 @@
    "id": "8d54b767",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.919526Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.919036Z",
-     "iopub.status.idle": "2024-08-20T16:41:26.926288Z",
-     "shell.execute_reply": "2024-08-20T16:41:26.925412Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.365361Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.364057Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.377298Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.376552Z"
     }
    },
    "outputs": [
@@ -459,10 +459,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:26.930088Z",
-     "iopub.status.busy": "2024-08-20T16:41:26.929639Z",
-     "iopub.status.idle": "2024-08-20T16:41:27.562177Z",
-     "shell.execute_reply": "2024-08-20T16:41:27.561397Z"
+     "iopub.execute_input": "2024-08-20T20:17:19.382327Z",
+     "iopub.status.busy": "2024-08-20T20:17:19.381006Z",
+     "iopub.status.idle": "2024-08-20T20:17:19.812289Z",
+     "shell.execute_reply": "2024-08-20T20:17:19.811470Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb b/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
index 7e3b19b29..8eb78b57b 100644
--- a/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
+++ b/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
@@ -16,10 +16,10 @@
    "id": "072055cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:32.647920Z",
-     "iopub.status.busy": "2024-08-20T16:41:32.647426Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.057595Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.056849Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.500645Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.500429Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.890953Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.890251Z"
     }
    },
    "outputs": [],
@@ -47,10 +47,10 @@
    "id": "dc4af922",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.061095Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.060789Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.072952Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.072235Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.894946Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.894242Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.905050Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.904375Z"
     }
    },
    "outputs": [],
@@ -80,10 +80,10 @@
    "id": "d095701f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.075942Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.075528Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.084639Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.083898Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.907719Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.907310Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.915926Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.915182Z"
     }
    },
    "outputs": [],
@@ -109,10 +109,10 @@
    "id": "7a74f709",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.087626Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.087116Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.091489Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.090788Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.918749Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.918240Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.922527Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.921844Z"
     }
    },
    "outputs": [],
@@ -136,10 +136,10 @@
    "id": "7019d781",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:33.094430Z",
-     "iopub.status.busy": "2024-08-20T16:41:33.093962Z",
-     "iopub.status.idle": "2024-08-20T16:41:33.107170Z",
-     "shell.execute_reply": "2024-08-20T16:41:33.106410Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.924951Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.924751Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.937075Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.936371Z"
     }
    },
    "outputs": [],
diff --git a/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb b/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
index 4ba85d461..6579eebda 100644
--- a/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
+++ b/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
@@ -18,10 +18,10 @@
    "id": "dc54656b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:34.858005Z",
-     "iopub.status.busy": "2024-08-20T16:41:34.857442Z",
-     "iopub.status.idle": "2024-08-20T16:41:35.280459Z",
-     "shell.execute_reply": "2024-08-20T16:41:35.279799Z"
+     "iopub.execute_input": "2024-08-20T20:17:26.511711Z",
+     "iopub.status.busy": "2024-08-20T20:17:26.511386Z",
+     "iopub.status.idle": "2024-08-20T20:17:26.910603Z",
+     "shell.execute_reply": "2024-08-20T20:17:26.909889Z"
     }
    },
    "outputs": [],
@@ -42,10 +42,10 @@
    "id": "dd147239",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:35.283972Z",
-     "iopub.status.busy": "2024-08-20T16:41:35.283518Z",
-     "iopub.status.idle": "2024-08-20T16:41:35.984539Z",
-     "shell.execute_reply": "2024-08-20T16:41:35.983652Z"
+     "iopub.execute_input": "2024-08-20T20:17:26.914578Z",
+     "iopub.status.busy": "2024-08-20T20:17:26.914063Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.576089Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.575274Z"
     }
    },
    "outputs": [
@@ -82,10 +82,10 @@
    "id": "d4ccf5b8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:35.988028Z",
-     "iopub.status.busy": "2024-08-20T16:41:35.987333Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.167047Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.166202Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.578839Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.578562Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.748664Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.747841Z"
     }
    },
    "outputs": [
@@ -117,10 +117,10 @@
    "id": "44956cbb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.169817Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.169601Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.447834Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.446923Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.751734Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.751216Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.962304Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.961611Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "id": "8c56282f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.451439Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.450780Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.530113Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.529265Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.965484Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.965274Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.023170Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.022523Z"
     }
    },
    "outputs": [
@@ -236,10 +236,10 @@
    "id": "78539fcc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.533828Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.533117Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.537962Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.537222Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.026034Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.025825Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.030029Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.029337Z"
     }
    },
    "outputs": [
@@ -269,10 +269,10 @@
    "id": "f07a6cc3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.540549Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.540308Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.546202Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.545381Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.032853Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.032393Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.038830Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.038201Z"
     }
    },
    "outputs": [
@@ -319,10 +319,10 @@
    "id": "43d32869",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.548689Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.548489Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.607346Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.606414Z"
+     "iopub.execute_input": "2024-08-20T20:17:28.041651Z",
+     "iopub.status.busy": "2024-08-20T20:17:28.041453Z",
+     "iopub.status.idle": "2024-08-20T20:17:28.097945Z",
+     "shell.execute_reply": "2024-08-20T20:17:28.097233Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/how-tos/how_to_specify_cut_wires.html b/circuit_cutting/how-tos/how_to_specify_cut_wires.html
index deaf5cfcd..769e4e2d4 100644
--- a/circuit_cutting/how-tos/how_to_specify_cut_wires.html
+++ b/circuit_cutting/how-tos/how_to_specify_cut_wires.html
@@ -574,10 +574,10 @@ <h2>Generate and run the cutting experiments; reconstruct and compare against un
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 1.60517186
+Reconstructed expectation value: 1.56556785
 Exact expectation value: 1.59099026
-Error in estimation: 0.0141816
-Relative error in estimation: 0.00891369
+Error in estimation: -0.02542241
+Relative error in estimation: -0.01597898
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb b/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
index b068d78ab..c5f6f7c2b 100644
--- a/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
+++ b/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
@@ -16,10 +16,10 @@
    "id": "1aa871cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:38.701611Z",
-     "iopub.status.busy": "2024-08-20T16:41:38.701054Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.166833Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.165989Z"
+     "iopub.execute_input": "2024-08-20T20:17:30.053244Z",
+     "iopub.status.busy": "2024-08-20T20:17:30.052995Z",
+     "iopub.status.idle": "2024-08-20T20:17:30.460068Z",
+     "shell.execute_reply": "2024-08-20T20:17:30.459361Z"
     }
    },
    "outputs": [],
@@ -55,10 +55,10 @@
    "id": "0ae22516",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:39.170841Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.170439Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.964078Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.963370Z"
+     "iopub.execute_input": "2024-08-20T20:17:30.463498Z",
+     "iopub.status.busy": "2024-08-20T20:17:30.462958Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.185140Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.184464Z"
     }
    },
    "outputs": [
@@ -108,10 +108,10 @@
    "id": "631286a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:39.968015Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.967421Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.319996Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.319228Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.188711Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.188178Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.479036Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.478227Z"
     }
    },
    "outputs": [
@@ -147,10 +147,10 @@
    "id": "847a3205",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.323246Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.322794Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.326718Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.325953Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.481718Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.481511Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.485314Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.484646Z"
     }
    },
    "outputs": [],
@@ -176,10 +176,10 @@
    "id": "e4ee1559",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.329886Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.329675Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.606022Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.605081Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.487942Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.487466Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.769153Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.768299Z"
     }
    },
    "outputs": [
@@ -218,10 +218,10 @@
    "id": "95fbeda0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.608944Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.608713Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.615170Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.614369Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.772615Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.772395Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.777758Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.777073Z"
     }
    },
    "outputs": [
@@ -257,10 +257,10 @@
    "id": "99bef123",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.617928Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.617711Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.625696Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.624939Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.780771Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.780184Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.789989Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.789305Z"
     }
    },
    "outputs": [],
@@ -296,10 +296,10 @@
    "id": "abeee650",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.629047Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.628531Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.634619Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.633926Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.793012Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.792343Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.797916Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.797253Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "aaef5b3d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.637922Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.637310Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.884859Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.884018Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.800693Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.800214Z",
+     "iopub.status.idle": "2024-08-20T20:17:32.043258Z",
+     "shell.execute_reply": "2024-08-20T20:17:32.042525Z"
     }
    },
    "outputs": [
@@ -354,10 +354,10 @@
    "id": "975a3ca9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:40.887718Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.887488Z",
-     "iopub.status.idle": "2024-08-20T16:41:41.062885Z",
-     "shell.execute_reply": "2024-08-20T16:41:41.062031Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.046331Z",
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+     "shell.execute_reply": "2024-08-20T20:17:32.247580Z"
     }
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    "outputs": [
@@ -391,10 +391,10 @@
    "id": "459dcee8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:41.066494Z",
-     "iopub.status.busy": "2024-08-20T16:41:41.065803Z",
-     "iopub.status.idle": "2024-08-20T16:41:41.161722Z",
-     "shell.execute_reply": "2024-08-20T16:41:41.160955Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.251845Z",
+     "iopub.status.busy": "2024-08-20T20:17:32.251279Z",
+     "iopub.status.idle": "2024-08-20T20:17:32.336871Z",
+     "shell.execute_reply": "2024-08-20T20:17:32.336248Z"
     }
    },
    "outputs": [],
@@ -412,10 +412,10 @@
    "id": "dc9fe287",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:41.165481Z",
-     "iopub.status.busy": "2024-08-20T16:41:41.165191Z",
-     "iopub.status.idle": "2024-08-20T16:41:44.712900Z",
-     "shell.execute_reply": "2024-08-20T16:41:44.712185Z"
+     "iopub.execute_input": "2024-08-20T20:17:32.339707Z",
+     "iopub.status.busy": "2024-08-20T20:17:32.339270Z",
+     "iopub.status.idle": "2024-08-20T20:17:34.906679Z",
+     "shell.execute_reply": "2024-08-20T20:17:34.906040Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "e317a998",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:44.716431Z",
-     "iopub.status.busy": "2024-08-20T16:41:44.716158Z",
-     "iopub.status.idle": "2024-08-20T16:41:47.265353Z",
-     "shell.execute_reply": "2024-08-20T16:41:47.264735Z"
+     "iopub.execute_input": "2024-08-20T20:17:34.910394Z",
+     "iopub.status.busy": "2024-08-20T20:17:34.910156Z",
+     "iopub.status.idle": "2024-08-20T20:17:37.603039Z",
+     "shell.execute_reply": "2024-08-20T20:17:37.602279Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "5ae568ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:47.268344Z",
-     "iopub.status.busy": "2024-08-20T16:41:47.267938Z",
-     "iopub.status.idle": "2024-08-20T16:41:47.278627Z",
-     "shell.execute_reply": "2024-08-20T16:41:47.278011Z"
+     "iopub.execute_input": "2024-08-20T20:17:37.606692Z",
+     "iopub.status.busy": "2024-08-20T20:17:37.606070Z",
+     "iopub.status.idle": "2024-08-20T20:17:37.617468Z",
+     "shell.execute_reply": "2024-08-20T20:17:37.616763Z"
     }
    },
    "outputs": [
@@ -466,10 +466,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.60517186\n",
+      "Reconstructed expectation value: 1.56556785\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: 0.0141816\n",
-      "Relative error in estimation: 0.00891369\n"
+      "Error in estimation: -0.02542241\n",
+      "Relative error in estimation: -0.01597898\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
index 4e42be601..e7162ca64 100644
--- a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
+++ b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
@@ -575,10 +575,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 0.48201293
+Reconstructed expectation value: 0.4468137
 Exact expectation value: 0.56254612
-Error in estimation: -0.0805332
-Relative error in estimation: -0.14315839
+Error in estimation: -0.11573242
+Relative error in estimation: -0.20572966
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
index 91d72695e..a740e6a41 100644
--- a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
+++ b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
@@ -30,10 +30,10 @@
    "id": "96f5b72a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:49.453222Z",
-     "iopub.status.busy": "2024-08-20T16:41:49.453020Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.446694Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.445946Z"
+     "iopub.execute_input": "2024-08-20T20:17:39.873054Z",
+     "iopub.status.busy": "2024-08-20T20:17:39.872499Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.877990Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.877327Z"
     }
    },
    "outputs": [
@@ -72,10 +72,10 @@
    "id": "f75e8dd1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.449370Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.449071Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.453065Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.452519Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.880760Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.880323Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.883903Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.883247Z"
     }
    },
    "outputs": [],
@@ -103,10 +103,10 @@
    "id": "30326299",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.455548Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.455338Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.485840Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.485160Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.886278Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.885891Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.914666Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.914061Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "6b54be63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.488730Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.488498Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.493662Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.492967Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.917213Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.916859Z",
+     "iopub.status.idle": "2024-08-20T20:17:40.921223Z",
+     "shell.execute_reply": "2024-08-20T20:17:40.920661Z"
     }
    },
    "outputs": [
@@ -164,10 +164,10 @@
    "id": "b7e06fac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.496186Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.495963Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.663056Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.662273Z"
+     "iopub.execute_input": "2024-08-20T20:17:40.923830Z",
+     "iopub.status.busy": "2024-08-20T20:17:40.923335Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.083016Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.082312Z"
     }
    },
    "outputs": [
@@ -193,10 +193,10 @@
    "id": "11e45e83",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.665703Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.665468Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.883393Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.882682Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.085458Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.085255Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.282472Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.281838Z"
     }
    },
    "outputs": [
@@ -241,10 +241,10 @@
    "id": "3d606ef8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.886092Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.885678Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.889560Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.888836Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.285269Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.284898Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.288913Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.288287Z"
     }
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    "outputs": [
@@ -280,10 +280,10 @@
    "id": "2029d18e-0e91-4160-b8c9-02cb9e1ba3cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.892070Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.891688Z",
-     "iopub.status.idle": "2024-08-20T16:41:50.994508Z",
-     "shell.execute_reply": "2024-08-20T16:41:50.993909Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.291122Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.290922Z",
+     "iopub.status.idle": "2024-08-20T20:17:41.395699Z",
+     "shell.execute_reply": "2024-08-20T20:17:41.395146Z"
     }
    },
    "outputs": [],
@@ -311,10 +311,10 @@
    "id": "36c89aa0-70aa-4615-8198-77ec85e8aa93",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:50.997505Z",
-     "iopub.status.busy": "2024-08-20T16:41:50.997078Z",
-     "iopub.status.idle": "2024-08-20T16:41:51.560198Z",
-     "shell.execute_reply": "2024-08-20T16:41:51.559604Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.398079Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.397878Z",
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+     "shell.execute_reply": "2024-08-20T20:17:41.913581Z"
     }
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    "outputs": [],
@@ -340,10 +340,10 @@
    "id": "184e0f36-1279-48a3-aab7-b7603bb71f66",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:51.563457Z",
-     "iopub.status.busy": "2024-08-20T16:41:51.562924Z",
-     "iopub.status.idle": "2024-08-20T16:41:53.791516Z",
-     "shell.execute_reply": "2024-08-20T16:41:53.790724Z"
+     "iopub.execute_input": "2024-08-20T20:17:41.917434Z",
+     "iopub.status.busy": "2024-08-20T20:17:41.916899Z",
+     "iopub.status.idle": "2024-08-20T20:17:44.049302Z",
+     "shell.execute_reply": "2024-08-20T20:17:44.048546Z"
     }
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    "outputs": [],
@@ -372,10 +372,10 @@
    "id": "2dbb8148-0482-4a66-8316-335125f8a2b3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:53.794639Z",
-     "iopub.status.busy": "2024-08-20T16:41:53.794355Z",
-     "iopub.status.idle": "2024-08-20T16:41:54.135984Z",
-     "shell.execute_reply": "2024-08-20T16:41:54.123034Z"
+     "iopub.execute_input": "2024-08-20T20:17:44.052509Z",
+     "iopub.status.busy": "2024-08-20T20:17:44.052114Z",
+     "iopub.status.idle": "2024-08-20T20:17:44.370872Z",
+     "shell.execute_reply": "2024-08-20T20:17:44.365244Z"
     }
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    "outputs": [],
@@ -398,10 +398,10 @@
    "id": "64cef60b-5130-467e-8e01-7460d78560ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:54.163722Z",
-     "iopub.status.busy": "2024-08-20T16:41:54.161928Z",
-     "iopub.status.idle": "2024-08-20T16:42:07.772728Z",
-     "shell.execute_reply": "2024-08-20T16:42:07.772115Z"
+     "iopub.execute_input": "2024-08-20T20:17:44.393901Z",
+     "iopub.status.busy": "2024-08-20T20:17:44.393683Z",
+     "iopub.status.idle": "2024-08-20T20:17:57.728844Z",
+     "shell.execute_reply": "2024-08-20T20:17:57.728124Z"
     }
    },
    "outputs": [],
@@ -426,10 +426,10 @@
    "id": "7d57339c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:07.775889Z",
-     "iopub.status.busy": "2024-08-20T16:42:07.775459Z",
-     "iopub.status.idle": "2024-08-20T16:42:10.646585Z",
-     "shell.execute_reply": "2024-08-20T16:42:10.645985Z"
+     "iopub.execute_input": "2024-08-20T20:17:57.732018Z",
+     "iopub.status.busy": "2024-08-20T20:17:57.731543Z",
+     "iopub.status.idle": "2024-08-20T20:18:00.644697Z",
+     "shell.execute_reply": "2024-08-20T20:18:00.644024Z"
     }
    },
    "outputs": [],
@@ -461,10 +461,10 @@
    "id": "e3385ba5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:10.649760Z",
-     "iopub.status.busy": "2024-08-20T16:42:10.649350Z",
-     "iopub.status.idle": "2024-08-20T16:42:10.663037Z",
-     "shell.execute_reply": "2024-08-20T16:42:10.662439Z"
+     "iopub.execute_input": "2024-08-20T20:18:00.647609Z",
+     "iopub.status.busy": "2024-08-20T20:18:00.647191Z",
+     "iopub.status.idle": "2024-08-20T20:18:00.660855Z",
+     "shell.execute_reply": "2024-08-20T20:18:00.660338Z"
     }
    },
    "outputs": [
@@ -472,10 +472,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.48201293\n",
+      "Reconstructed expectation value: 0.4468137\n",
       "Exact expectation value: 0.56254612\n",
-      "Error in estimation: -0.0805332\n",
-      "Relative error in estimation: -0.14315839\n"
+      "Error in estimation: -0.11573242\n",
+      "Relative error in estimation: -0.20572966\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
index eb3bc7f65..af60d785b 100644
--- a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
+++ b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
@@ -398,7 +398,7 @@ <h2>Transpile the circuit, visualize the swaps, and note the depth<a class="head
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_4001/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
+/tmp/ipykernel_4007/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
   print(f&#34;Transpiled circuit depth: {transpiled_qc.depth(lambda x: len(x[1]) &gt;= 2)}&#34;)
 </pre></div></div>
 </div>
@@ -526,9 +526,9 @@ <h2>Demonstrate that the QPD subexperiments will be shallower after cutting dist
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_4001/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
+/tmp/ipykernel_4007/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
   f&#34;Original circuit depth after transpile: {transpiled_qc.depth(lambda x: len(x[1]) &gt;= 2)}&#34;
-/tmp/ipykernel_4001/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
+/tmp/ipykernel_4007/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.
   f&#34;QPD subexperiment depth after transpile: {transpiled_qpd_circuit.depth(lambda x: len(x[1]) &gt;= 2)}&#34;
 </pre></div></div>
 </div>
@@ -614,10 +614,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 0.53271484
+Reconstructed expectation value: 0.3046875
 Exact expectation value: 0.50497603
-Error in estimation: 0.02773881
-Relative error in estimation: 0.05493095
+Error in estimation: -0.20028853
+Relative error in estimation: -0.39662978
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
index a512ff4bf..94fbe6fd5 100644
--- a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
+++ b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
@@ -30,10 +30,10 @@
    "id": "54ed0f13",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:13.092746Z",
-     "iopub.status.busy": "2024-08-20T16:42:13.092531Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.167408Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.166582Z"
+     "iopub.execute_input": "2024-08-20T20:18:02.801851Z",
+     "iopub.status.busy": "2024-08-20T20:18:02.801662Z",
+     "iopub.status.idle": "2024-08-20T20:18:03.790929Z",
+     "shell.execute_reply": "2024-08-20T20:18:03.790177Z"
     }
    },
    "outputs": [
@@ -71,10 +71,10 @@
    "id": "105e858d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.170578Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.169894Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.174176Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.173480Z"
+     "iopub.execute_input": "2024-08-20T20:18:03.793813Z",
+     "iopub.status.busy": "2024-08-20T20:18:03.793300Z",
+     "iopub.status.idle": "2024-08-20T20:18:03.797096Z",
+     "shell.execute_reply": "2024-08-20T20:18:03.796552Z"
     }
    },
    "outputs": [],
@@ -100,10 +100,10 @@
    "id": "756f2130-6947-479a-9fe7-97443c87a904",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.176920Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.176491Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.747578Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.746969Z"
+     "iopub.execute_input": "2024-08-20T20:18:03.799528Z",
+     "iopub.status.busy": "2024-08-20T20:18:03.799173Z",
+     "iopub.status.idle": "2024-08-20T20:18:04.323222Z",
+     "shell.execute_reply": "2024-08-20T20:18:04.322641Z"
     }
    },
    "outputs": [],
@@ -129,10 +129,10 @@
    "id": "b394da7a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.750965Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.750224Z",
-     "iopub.status.idle": "2024-08-20T16:42:14.784775Z",
-     "shell.execute_reply": "2024-08-20T16:42:14.784034Z"
+     "iopub.execute_input": "2024-08-20T20:18:04.326352Z",
+     "iopub.status.busy": "2024-08-20T20:18:04.325936Z",
+     "iopub.status.idle": "2024-08-20T20:18:04.359347Z",
+     "shell.execute_reply": "2024-08-20T20:18:04.358609Z"
     }
    },
    "outputs": [
@@ -147,7 +147,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4001/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/2612043398.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  print(f\"Transpiled circuit depth: {transpiled_qc.depth(lambda x: len(x[1]) >= 2)}\")\n"
      ]
     }
@@ -169,10 +169,10 @@
    "id": "4fe4af43",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:14.787654Z",
-     "iopub.status.busy": "2024-08-20T16:42:14.787220Z",
-     "iopub.status.idle": "2024-08-20T16:42:15.495144Z",
-     "shell.execute_reply": "2024-08-20T16:42:15.494411Z"
+     "iopub.execute_input": "2024-08-20T20:18:04.361844Z",
+     "iopub.status.busy": "2024-08-20T20:18:04.361460Z",
+     "iopub.status.idle": "2024-08-20T20:18:05.055670Z",
+     "shell.execute_reply": "2024-08-20T20:18:05.054950Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "id": "12e73c69",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:15.498016Z",
-     "iopub.status.busy": "2024-08-20T16:42:15.497607Z",
-     "iopub.status.idle": "2024-08-20T16:42:15.787216Z",
-     "shell.execute_reply": "2024-08-20T16:42:15.786468Z"
+     "iopub.execute_input": "2024-08-20T20:18:05.058316Z",
+     "iopub.status.busy": "2024-08-20T20:18:05.057900Z",
+     "iopub.status.idle": "2024-08-20T20:18:05.361680Z",
+     "shell.execute_reply": "2024-08-20T20:18:05.360980Z"
     }
    },
    "outputs": [
@@ -263,10 +263,10 @@
    "id": "83b1efed-bafa-48c4-bbf0-cf7eb9027ac5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:15.789984Z",
-     "iopub.status.busy": "2024-08-20T16:42:15.789559Z",
-     "iopub.status.idle": "2024-08-20T16:42:16.758462Z",
-     "shell.execute_reply": "2024-08-20T16:42:16.757751Z"
+     "iopub.execute_input": "2024-08-20T20:18:05.364558Z",
+     "iopub.status.busy": "2024-08-20T20:18:05.364188Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.276826Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.276136Z"
     }
    },
    "outputs": [],
@@ -298,10 +298,10 @@
    "id": "c7b28e2c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:16.761707Z",
-     "iopub.status.busy": "2024-08-20T16:42:16.761200Z",
-     "iopub.status.idle": "2024-08-20T16:42:16.765171Z",
-     "shell.execute_reply": "2024-08-20T16:42:16.764489Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.279944Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.279457Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.283060Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.282408Z"
     }
    },
    "outputs": [
@@ -333,10 +333,10 @@
    "id": "70e2f1b6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:16.768039Z",
-     "iopub.status.busy": "2024-08-20T16:42:16.767511Z",
-     "iopub.status.idle": "2024-08-20T16:42:17.265381Z",
-     "shell.execute_reply": "2024-08-20T16:42:17.264688Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.285827Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.285343Z",
+     "iopub.status.idle": "2024-08-20T20:18:06.754371Z",
+     "shell.execute_reply": "2024-08-20T20:18:06.753731Z"
     }
    },
    "outputs": [
@@ -352,9 +352,9 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4001/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/4252024425.py:5: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  f\"Original circuit depth after transpile: {transpiled_qc.depth(lambda x: len(x[1]) >= 2)}\"\n",
-      "/tmp/ipykernel_4001/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
+      "/tmp/ipykernel_4007/4252024425.py:8: DeprecationWarning: Treating CircuitInstruction as an iterable is deprecated legacy behavior since Qiskit 1.2, and will be removed in Qiskit 2.0. Instead, use the `operation`, `qubits` and `clbits` named attributes.\n",
       "  f\"QPD subexperiment depth after transpile: {transpiled_qpd_circuit.depth(lambda x: len(x[1]) >= 2)}\"\n"
      ]
     },
@@ -397,10 +397,10 @@
    "id": "16968c09-13f0-499b-91d0-91b58f1ce6eb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:17.268500Z",
-     "iopub.status.busy": "2024-08-20T16:42:17.267985Z",
-     "iopub.status.idle": "2024-08-20T16:42:25.342439Z",
-     "shell.execute_reply": "2024-08-20T16:42:25.341640Z"
+     "iopub.execute_input": "2024-08-20T20:18:06.756899Z",
+     "iopub.status.busy": "2024-08-20T20:18:06.756689Z",
+     "iopub.status.idle": "2024-08-20T20:18:13.987247Z",
+     "shell.execute_reply": "2024-08-20T20:18:13.986452Z"
     }
    },
    "outputs": [],
@@ -423,10 +423,10 @@
    "id": "a83922bc-0489-4ee5-a2b6-796103aae9bb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:42:25.347040Z",
-     "iopub.status.busy": "2024-08-20T16:42:25.346012Z",
-     "iopub.status.idle": "2024-08-20T16:43:06.810430Z",
-     "shell.execute_reply": "2024-08-20T16:43:06.809673Z"
+     "iopub.execute_input": "2024-08-20T20:18:13.995815Z",
+     "iopub.status.busy": "2024-08-20T20:18:13.995177Z",
+     "iopub.status.idle": "2024-08-20T20:18:54.710500Z",
+     "shell.execute_reply": "2024-08-20T20:18:54.709907Z"
     }
    },
    "outputs": [],
@@ -451,10 +451,10 @@
    "id": "ace12f7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:43:06.813773Z",
-     "iopub.status.busy": "2024-08-20T16:43:06.813264Z",
-     "iopub.status.idle": "2024-08-20T16:43:09.079928Z",
-     "shell.execute_reply": "2024-08-20T16:43:09.079270Z"
+     "iopub.execute_input": "2024-08-20T20:18:54.713533Z",
+     "iopub.status.busy": "2024-08-20T20:18:54.713134Z",
+     "iopub.status.idle": "2024-08-20T20:18:57.013804Z",
+     "shell.execute_reply": "2024-08-20T20:18:57.013140Z"
     }
    },
    "outputs": [],
@@ -484,10 +484,10 @@
    "id": "4928e703",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:43:09.083115Z",
-     "iopub.status.busy": "2024-08-20T16:43:09.082640Z",
-     "iopub.status.idle": "2024-08-20T16:43:09.096642Z",
-     "shell.execute_reply": "2024-08-20T16:43:09.095992Z"
+     "iopub.execute_input": "2024-08-20T20:18:57.016667Z",
+     "iopub.status.busy": "2024-08-20T20:18:57.016301Z",
+     "iopub.status.idle": "2024-08-20T20:18:57.030202Z",
+     "shell.execute_reply": "2024-08-20T20:18:57.029593Z"
     }
    },
    "outputs": [
@@ -495,10 +495,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.53271484\n",
+      "Reconstructed expectation value: 0.3046875\n",
       "Exact expectation value: 0.50497603\n",
-      "Error in estimation: 0.02773881\n",
-      "Relative error in estimation: 0.05493095\n"
+      "Error in estimation: -0.20028853\n",
+      "Relative error in estimation: -0.39662978\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
index fbbe38102..4bc9bbe36 100644
--- a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
+++ b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
@@ -348,7 +348,7 @@ <h2>Create a circuit to cut<a class="headerlink" href="#Create-a-circuit-to-cut"
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7fa214f87f70&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7fb3d8200fd0&gt;
 </pre></div></div>
 </div>
 <div class="nbinput docutils container">
@@ -648,10 +648,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 1.48091096
+Reconstructed expectation value: 1.41945803
 Exact expectation value: 1.59099026
-Error in estimation: -0.1100793
-Relative error in estimation: -0.06918917
+Error in estimation: -0.17153223
+Relative error in estimation: -0.10781476
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
index 35fd8de49..cccf765cf 100644
--- a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
+++ b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
@@ -32,17 +32,17 @@
    "id": "3bcae0ed-4308-4686-b85c-8595c6e916bc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:08.474979Z",
-     "iopub.status.busy": "2024-08-20T16:41:08.474640Z",
-     "iopub.status.idle": "2024-08-20T16:41:08.917872Z",
-     "shell.execute_reply": "2024-08-20T16:41:08.917055Z"
+     "iopub.execute_input": "2024-08-20T20:17:02.443426Z",
+     "iopub.status.busy": "2024-08-20T20:17:02.443153Z",
+     "iopub.status.idle": "2024-08-20T20:17:02.969402Z",
+     "shell.execute_reply": "2024-08-20T20:17:02.968737Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fa214f87f70>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7fb3d8200fd0>"
       ]
      },
      "execution_count": 1,
@@ -74,10 +74,10 @@
    "id": "1dcaff2d-2d1b-4cc0-87d1-0f4f5de823ff",
    "metadata": {
     "execution": {
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-     "shell.execute_reply": "2024-08-20T16:41:09.643363Z"
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@@ -111,10 +111,10 @@
    "id": "b791aa42-c485-453b-a110-3c790194adaf",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:09.647344Z",
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-     "shell.execute_reply": "2024-08-20T16:41:09.650178Z"
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     }
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@@ -144,10 +144,10 @@
    "id": "22f19d29-a182-4758-b5d0-6b66f9a946be",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:09.653991Z",
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-     "shell.execute_reply": "2024-08-20T16:41:09.998699Z"
+     "iopub.execute_input": "2024-08-20T20:17:03.680056Z",
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+     "shell.execute_reply": "2024-08-20T20:17:04.020608Z"
     }
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    "outputs": [
@@ -200,10 +200,10 @@
    "id": "d33d5580-879f-466f-ac87-dcc6a19fbab6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:10.002188Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.001974Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.005847Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.005157Z"
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+     "shell.execute_reply": "2024-08-20T20:17:04.027453Z"
     }
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    "outputs": [],
@@ -227,10 +227,10 @@
    "id": "fc3738c7-2bb2-4d67-ae2b-7a3090b31e6a",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.008272Z",
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-     "shell.execute_reply": "2024-08-20T16:41:10.021103Z"
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+     "shell.execute_reply": "2024-08-20T20:17:04.041027Z"
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    "outputs": [],
@@ -259,10 +259,10 @@
    "id": "9c53a862-f762-471a-bda7-b27e88292ac9",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.025023Z",
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-     "shell.execute_reply": "2024-08-20T16:41:10.030574Z"
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    "outputs": [
@@ -288,10 +288,10 @@
    "id": "69df912e-6709-45bb-8eb3-c66a70edefdc",
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-     "iopub.execute_input": "2024-08-20T16:41:10.034340Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.034086Z",
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-     "shell.execute_reply": "2024-08-20T16:41:10.288336Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.051932Z",
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+     "shell.execute_reply": "2024-08-20T20:17:04.292268Z"
     }
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    "outputs": [
@@ -317,10 +317,10 @@
    "id": "d851adcb-e524-48c8-8adc-0d1606613c8d",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.291976Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.291762Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.480659Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.479762Z"
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+     "shell.execute_reply": "2024-08-20T20:17:04.461591Z"
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    "outputs": [
@@ -358,10 +358,10 @@
    "id": "7af74c54-3e68-4d58-a2e6-02bc212d911d",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.483655Z",
-     "iopub.status.busy": "2024-08-20T16:41:10.483425Z",
-     "iopub.status.idle": "2024-08-20T16:41:10.487625Z",
-     "shell.execute_reply": "2024-08-20T16:41:10.486879Z"
+     "iopub.execute_input": "2024-08-20T20:17:04.465350Z",
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+     "shell.execute_reply": "2024-08-20T20:17:04.467945Z"
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    "outputs": [
@@ -395,10 +395,10 @@
    "id": "d28a8b82-8405-47b2-8142-62d56266409a",
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.490164Z",
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-     "shell.execute_reply": "2024-08-20T16:41:10.574626Z"
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+     "iopub.status.idle": "2024-08-20T20:17:04.557735Z",
+     "shell.execute_reply": "2024-08-20T20:17:04.557065Z"
     }
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    "outputs": [],
@@ -426,10 +426,10 @@
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    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:10.579472Z",
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-     "shell.execute_reply": "2024-08-20T16:41:11.197015Z"
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@@ -455,10 +455,10 @@
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-     "iopub.execute_input": "2024-08-20T16:41:11.201888Z",
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-     "shell.execute_reply": "2024-08-20T16:41:14.237356Z"
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@@ -487,10 +487,10 @@
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    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:14.242569Z",
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-     "shell.execute_reply": "2024-08-20T16:41:14.477315Z"
+     "iopub.execute_input": "2024-08-20T20:17:07.911474Z",
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+     "shell.execute_reply": "2024-08-20T20:17:08.179364Z"
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    "outputs": [],
@@ -513,10 +513,10 @@
    "id": "abb436de-9662-4c47-92b1-659ee0334adc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:14.509850Z",
-     "iopub.status.busy": "2024-08-20T16:41:14.506472Z",
-     "iopub.status.idle": "2024-08-20T16:41:29.857791Z",
-     "shell.execute_reply": "2024-08-20T16:41:29.857153Z"
+     "iopub.execute_input": "2024-08-20T20:17:08.232731Z",
+     "iopub.status.busy": "2024-08-20T20:17:08.232496Z",
+     "iopub.status.idle": "2024-08-20T20:17:24.393355Z",
+     "shell.execute_reply": "2024-08-20T20:17:24.392437Z"
     }
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    "outputs": [],
@@ -541,10 +541,10 @@
    "id": "a1904c54-27fa-45e0-a9dd-727b4542db71",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:29.860666Z",
-     "iopub.status.busy": "2024-08-20T16:41:29.860448Z",
-     "iopub.status.idle": "2024-08-20T16:41:32.593076Z",
-     "shell.execute_reply": "2024-08-20T16:41:32.592321Z"
+     "iopub.execute_input": "2024-08-20T20:17:24.396991Z",
+     "iopub.status.busy": "2024-08-20T20:17:24.396551Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.206159Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.205381Z"
     }
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    "outputs": [],
@@ -573,10 +573,10 @@
    "id": "6e3d63e4-a510-4712-bc43-48df6e2f7ded",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:32.596128Z",
-     "iopub.status.busy": "2024-08-20T16:41:32.595901Z",
-     "iopub.status.idle": "2024-08-20T16:41:32.608754Z",
-     "shell.execute_reply": "2024-08-20T16:41:32.608096Z"
+     "iopub.execute_input": "2024-08-20T20:17:27.209666Z",
+     "iopub.status.busy": "2024-08-20T20:17:27.209417Z",
+     "iopub.status.idle": "2024-08-20T20:17:27.222950Z",
+     "shell.execute_reply": "2024-08-20T20:17:27.222255Z"
     }
    },
    "outputs": [
@@ -584,10 +584,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.48091096\n",
+      "Reconstructed expectation value: 1.41945803\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.1100793\n",
-      "Relative error in estimation: -0.06918917\n"
+      "Error in estimation: -0.17153223\n",
+      "Relative error in estimation: -0.10781476\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb b/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
index 5c75cef05..c1a9b3bc7 100644
--- a/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
+++ b/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
@@ -19,10 +19,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:35.301819Z",
-     "iopub.status.busy": "2024-08-20T16:41:35.301553Z",
-     "iopub.status.idle": "2024-08-20T16:41:36.519318Z",
-     "shell.execute_reply": "2024-08-20T16:41:36.518344Z"
+     "iopub.execute_input": "2024-08-20T20:17:29.964920Z",
+     "iopub.status.busy": "2024-08-20T20:17:29.964372Z",
+     "iopub.status.idle": "2024-08-20T20:17:31.122073Z",
+     "shell.execute_reply": "2024-08-20T20:17:31.121181Z"
     }
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    "outputs": [
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-08-20T16:41:36.522582Z",
-     "iopub.status.busy": "2024-08-20T16:41:36.521909Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.500127Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.499350Z"
+     "iopub.execute_input": "2024-08-20T20:17:31.124909Z",
+     "iopub.status.busy": "2024-08-20T20:17:31.124637Z",
+     "iopub.status.idle": "2024-08-20T20:17:34.891842Z",
+     "shell.execute_reply": "2024-08-20T20:17:34.891088Z"
     }
    },
    "outputs": [
@@ -131,10 +131,10 @@
    "execution_count": 3,
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:39.503433Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.502798Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.857543Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.856663Z"
+     "iopub.execute_input": "2024-08-20T20:17:34.895618Z",
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+     "iopub.status.idle": "2024-08-20T20:17:35.192211Z",
+     "shell.execute_reply": "2024-08-20T20:17:35.191433Z"
     }
    },
    "outputs": [
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:39.860399Z",
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-     "shell.execute_reply": "2024-08-20T16:41:39.874430Z"
+     "iopub.execute_input": "2024-08-20T20:17:35.195086Z",
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+     "iopub.status.idle": "2024-08-20T20:17:35.208585Z",
+     "shell.execute_reply": "2024-08-20T20:17:35.207949Z"
     }
    },
    "outputs": [
@@ -203,10 +203,10 @@
    "execution_count": 5,
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:39.877749Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.877538Z",
-     "iopub.status.idle": "2024-08-20T16:41:39.883005Z",
-     "shell.execute_reply": "2024-08-20T16:41:39.882206Z"
+     "iopub.execute_input": "2024-08-20T20:17:35.211666Z",
+     "iopub.status.busy": "2024-08-20T20:17:35.211395Z",
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+     "shell.execute_reply": "2024-08-20T20:17:35.215799Z"
     }
    },
    "outputs": [
@@ -231,10 +231,10 @@
    "execution_count": 6,
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:39.885413Z",
-     "iopub.status.busy": "2024-08-20T16:41:39.885221Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.076557Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.075626Z"
+     "iopub.execute_input": "2024-08-20T20:17:35.218791Z",
+     "iopub.status.busy": "2024-08-20T20:17:35.218590Z",
+     "iopub.status.idle": "2024-08-20T20:17:35.408593Z",
+     "shell.execute_reply": "2024-08-20T20:17:35.407957Z"
     }
    },
    "outputs": [
@@ -259,10 +259,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.execute_input": "2024-08-20T16:41:40.079234Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.079009Z",
-     "iopub.status.idle": "2024-08-20T16:41:40.320723Z",
-     "shell.execute_reply": "2024-08-20T16:41:40.319867Z"
+     "iopub.execute_input": "2024-08-20T20:17:35.411743Z",
+     "iopub.status.busy": "2024-08-20T20:17:35.411225Z",
+     "iopub.status.idle": "2024-08-20T20:17:35.626995Z",
+     "shell.execute_reply": "2024-08-20T20:17:35.626142Z"
     }
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    "outputs": [
@@ -294,10 +294,10 @@
    "execution_count": 8,
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-     "iopub.execute_input": "2024-08-20T16:41:40.323840Z",
-     "iopub.status.busy": "2024-08-20T16:41:40.323607Z",
-     "iopub.status.idle": "2024-08-20T16:41:44.002467Z",
-     "shell.execute_reply": "2024-08-20T16:41:44.001709Z"
+     "iopub.execute_input": "2024-08-20T20:17:35.630139Z",
+     "iopub.status.busy": "2024-08-20T20:17:35.629619Z",
+     "iopub.status.idle": "2024-08-20T20:17:38.307801Z",
+     "shell.execute_reply": "2024-08-20T20:17:38.306962Z"
     }
    },
    "outputs": [
diff --git a/plot_directive/circuit_cutting/explanation/index-1.svg b/plot_directive/circuit_cutting/explanation/index-1.svg
index cca1e2601..a594f2415 100644
--- a/plot_directive/circuit_cutting/explanation/index-1.svg
+++ b/plot_directive/circuit_cutting/explanation/index-1.svg
@@ -6,7 +6,7 @@
   <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
    <cc:Work>
     <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
-    <dc:date>2024-08-20T16:41:31.644583</dc:date>
+    <dc:date>2024-08-20T20:17:23.263960</dc:date>
     <dc:format>image/svg+xml</dc:format>
     <dc:creator>
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@@ -243,7 +243,7 @@ L 64.7424 233.736932
 L 61.1712 233.682238 
 L 57.6 233.664 
 z
-" clip-path="url(#pea6c76ed3a)" style="fill: #57ffff"/>
+" clip-path="url(#p38eb5b8067)" style="fill: #57ffff"/>
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38, 39, 43, 44, 46, 61, 65], "And": 4, "As": [6, 9, 13, 18], "By": 6, "For": [4, 5, 6, 9, 11, 12, 13, 16, 17, 18, 35], "If": [4, 5, 6, 7, 8, 16, 17, 18, 20, 33, 35, 37, 43, 46, 65], "In": [4, 5, 6, 7, 8, 9, 11, 12, 13, 17, 18, 33], "It": [4, 5, 6, 18, 24, 25, 26, 27, 28, 29, 30, 48, 49, 50, 51, 54, 55, 56, 57, 58], "Its": 12, "No": [6, 17], "One": [6, 13], "Or": 17, "The": [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 43, 44, 45, 46, 48, 49, 50, 51, 54, 55, 56, 57, 58, 60, 61, 62, 65], "There": [6, 17, 18], "These": [6, 18], "To": [11, 12, 13, 16, 17, 18], "With": [6, 18], "_": 65, "__init__": [59, 60, 62, 66, 67], "_i": 6, "_min_nonzero": 8, "_run_subcircuit": 28, "a_1": 6, "a_2": 6, "a_3": 6, "a_4": 6, "a_5": 6, "a_6": 6, "a_i": 6, "aaaabbbb": 13, "aabb": [8, 11], "ab": [6, 7], "abba": 65, "abc": 53, "abl": [9, 13, 18], "about": [4, 5, 16, 23, 29], "abov": [4, 5, 6, 8, 13, 44, 54, 62], "absolut": [4, 5, 6, 8, 44, 55], "abstract": 6, "abstractli": 6, "accept": [11, 12, 13], "access": [4, 5, 17, 18, 43], "accord": [16, 31, 43, 65], "account": [4, 13], "achiev": 8, "acquir": 17, "across": 17, "act": [6, 22, 32, 36, 37, 38, 41], "activ": 17, "actual": [6, 9, 54, 55, 56, 57, 58], "ad": [6, 9, 13, 18], "adapt": 18, "add": [18, 27], "addit": [6, 9, 13, 18], "addition": 18, "adjust": 17, "aer": [18, 62], "affect": 36, "aforement": 35, "after": [6, 31], "again": 6, "against": [4, 5], "agata": 16, "al": [4, 5, 50], "albeit": 18, "algorithm": [18, 32], "all": [4, 6, 10, 17, 18, 23, 27, 29, 36, 37, 43, 45, 49, 52, 62, 63], "alloc": [9, 13, 23], "allow": [4, 5, 6, 13, 17, 18, 25, 33], "almudena": 16, "along": [9, 37, 63], "alreadi": 18, "also": [4, 6, 12, 18, 33, 45], "alter": [4, 5], "altern": [4, 5, 13], "alwai": [18, 33], "ambigu": 6, "amend": [4, 5], "amount": 6, "an": [4, 16, 17, 18, 20, 34, 37, 38, 39, 43, 46, 54], "ancillari": 4, "angl": 6, "ani": [4, 5, 6, 8, 9, 11, 12, 13, 18, 25, 26, 27, 29, 37, 39], "anoth": [12, 13, 35], "anywher": 62, "apach": [4, 5], "api": [6, 16, 18], "appear": [4, 5], "append": [9, 13, 33, 35], "appendix": [6, 23], "appl": 17, "appli": [11, 12, 43], "applic": [6, 18], "appropri": [17, 18, 31, 52], "approx": 6, "ar": [4, 5, 6, 9, 11, 12, 13, 16, 17, 18, 20, 25, 31, 32, 33, 37, 43, 44, 45, 46, 52, 55, 56, 58, 60, 63], "arbitrari": 18, "arbitrarili": 12, "architectur": 12, "arg": [11, 13, 17, 66, 67], "argument": [4, 5, 6, 18, 25, 46], "arm": 17, "around": 18, "arrai": [2, 33, 48, 51, 54, 55, 56, 57, 58], "arxiv": [3, 6, 9, 13, 18], "asc": [4, 5], "ascend": 18, "assign": [38, 39, 40, 60], "assign_paramet": [4, 8, 11, 12], "associ": [6, 18, 33, 42, 46], "assum": 18, "attribut": [12, 19, 20, 21, 34, 35, 38, 39, 40, 41, 42, 59, 60, 62, 64, 66, 67], "attributeerror": 18, "author": 16, "autom": [3, 4, 5, 18, 24, 25, 26, 27, 28, 29, 30], "automat": [3, 5, 9, 13, 15, 16, 17, 18, 25, 37, 60], "automated_cut_find": [14, 18], "avail": [6, 14, 16, 17, 18, 35], "avoid": [6, 18], "awai": 18, "b": [8, 11, 13, 65], "baac": 65, "back": [11, 13], "backend": [4, 5, 6, 18, 26, 29], "backend_nam": [4, 5, 26, 29], "backjump": 18, "backward": 18, "barrier": 18, "base": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 19, 20, 21, 34, 35, 37, 38, 39, 40, 41, 42, 43, 64], "baseqpdg": [6, 18, 32, 40, 41, 43], "basesampl": [7, 18], "basesamplerv2": 18, "basi": [6, 11, 12, 13, 14, 18, 38, 39, 40, 41, 44], "basic": [4, 5, 6], "basis_id": [38, 40, 41], "batch": [6, 11, 13], "becaus": [4, 6, 9], "becom": 13, "been": [4, 5, 6, 9, 12, 18, 35], "befor": [11, 13, 17, 18, 22, 36, 46], "begin": 13, "behavior": [12, 18, 32], "being": 6, "belong": [33, 36, 40, 43], "below": [4, 5, 6, 17, 18, 46], "benefit": 6, "best": [18, 20, 32], "beta": 6, "better": 52, "between": [6, 8, 12, 30, 31, 46, 52, 55, 56, 57, 58], "beyond": 6, "bi": 6, "bib": 16, "bin": 17, "binary_prob": [4, 5], "birgitta": 6, "bit": [18, 22, 37, 47, 62], "bitstr": [4, 5, 18, 54], "bool": [22, 25, 36], "boost": 6, "both": [4, 5, 6, 18, 33, 52], "bound": 20, "boundari": 37, "bra": 16, "bravyi": 6, "break": 16, "brenner": 6, "brief": 17, "browser": 17, "bryce": 16, "build": [13, 17, 18], "built": 18, "busi": [4, 5], "bypass": 18, "c": [16, 17, 65], "calcul": [4, 5, 7, 8, 18, 46], "caleb": 16, "call": [6, 7, 9, 18, 31], "can": [4, 5, 6, 7, 8, 9, 11, 12, 13, 16, 17, 18, 31, 39, 45, 52, 62, 63], "cannot": [31, 45], "capabl": 6, "captur": [4, 5], "care": [17, 46], "carrera": 16, "carri": [4, 5], "case": [4, 5, 6, 8, 9, 17, 18, 33, 35, 37, 45, 52], "caus": [13, 18], "cd": 17, "center": 18, "certain": [6, 12, 17, 18], "chamber": 6, "chang": [16, 18], "channel": [6, 35], "charact": 13, "check": [4, 5, 16, 18], "chgate": [6, 18], "chi": [4, 5, 57], "chi2": [4, 5], "chip": 17, "choic": [6, 52], "choos": [12, 17], "chosen": [6, 32], "christoph": 6, "circuit": [2, 7, 8, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 43, 46, 48, 49, 50, 51, 54, 55, 56, 57, 58, 62, 63, 64, 65], "circuit_cut": 18, "circuit_knit": [0, 4, 5, 7, 8, 9, 11, 12, 13, 14, 18], "circuit_knitting_toolbox": 18, "circuitinstruct": 12, "circular": 12, "citat": 16, "citaton": 16, "ckt": [4, 5, 16, 17, 18, 24, 25, 26, 27, 28, 29, 30, 48, 49, 50, 51, 54, 55, 56, 57, 58], "class": [7, 18, 19, 20, 21, 34, 35, 38, 39, 40, 41, 42, 52, 53, 59, 60, 62, 64, 66, 67], "classic": [4, 5, 6, 18, 22, 37, 43, 62, 63], "classical_cost": 4, "clbit": 12, "clone": 17, "closest": 50, "cnot": [6, 11, 12], "co": [6, 16], "code": [2, 4, 5, 6, 16, 18, 35], "coeff": [9, 11, 12, 13, 39], "coeffici": [6, 7, 9, 10, 11, 12, 13, 14, 16, 27, 33, 39, 46], "coeffient": 6, "collaps": [13, 35], "collect": [25, 53, 60], "com": [16, 17, 62], "combin": [4, 6, 8, 11, 12, 13], "come": 18, "command": 17, "common": [11, 13, 17, 43, 56], "commun": 6, "commut": [9, 59, 60], "commuting_observ": 59, "commutingobservablegroup": 60, "compar": [2, 30], "comparison": [4, 5, 52], "compat": [18, 31], "compil": 17, "complete_path_map": [4, 27], "compon": [17, 65], "compos": 17, "compris": [4, 5, 43], "comput": [4, 5, 6, 24, 51, 54, 55, 56, 57, 58], "conceptu": 13, "conda": 17, "conda_subdir": 17, "condit": 18, "conduct": 2, "configur": [4, 5, 17], "connect": [9, 18, 26, 37], "consecut": [11, 12, 13, 18, 37, 65], "consid": 6, "consist": 6, "consolid": 66, "consolidatereset": 18, "constraint": [6, 19, 20, 32], "construct": [6, 52], "consult": 17, "contain": [5, 6, 9, 10, 12, 16, 17, 18, 22, 24, 25, 26, 27, 29, 30, 32, 33, 35, 36, 37, 43, 46, 48, 63, 65], "container": 17, "continu": 6, "contrast": [13, 52], "contribut": [6, 16, 44, 46], "control": [6, 11, 12, 13, 20, 32, 44], "conveni": 9, "convent": 6, "convers": 45, "convert": [2, 6, 48, 49, 50, 51], "copi": [4, 5, 17, 22, 36, 52, 53], "copyright": [4, 5], "core": [4, 5], "correctli": 13, "correl": 57, "correspond": [4, 6, 11, 13, 31, 33, 35, 37, 43, 44, 46, 64], "cost": [4, 6, 17], "could": [4, 5, 40], "count": [6, 47], "counter": 4, "coupl": 18, "cphaseg": [6, 18], "cplex": [17, 18], "creat": [17, 18, 21, 34, 35, 64], "creg": 43, "criteria": 4, "cross": [4, 5, 58], "crxgate": [6, 18], "crygat": [6, 18], "crzgate": [6, 18], "csdggate": [6, 18], "csgate": [6, 18], "csxgate": [6, 18], "current": [16, 18, 32, 62], "cut": [1, 7, 17, 18], "cut_circuit": 14, "cut_circuit_wir": [4, 5], "cut_gat": [12, 18], "cut_id": 32, "cut_indic": 12, "cut_typ": 32, "cut_wir": [6, 9, 13, 14], "cutqc": [16, 17, 18], "cutter": [4, 5], "cutting_decomposit": 18, "cutting_evalu": 18, "cutting_execut": 18, "cutting_experi": 18, "cutting_reconstruct": 18, "cutwir": [6, 10, 13, 16, 23], "cx": [5, 7, 9, 13, 65], "cxgate": [6, 8], "cygat": [6, 18], "czgate": 6, "czyk": 16, "d": [16, 17], "dag": [25, 27], "dagger": 6, "daniel": 16, "data": [4, 5, 9, 11, 12, 13, 32], "david": 6, "dcxgate": [6, 18], "decompos": [6, 8, 12, 16, 18, 21, 22, 25, 37, 38, 39, 40, 41, 43, 45], "decompose_g": 18, "decompose_qpd_instruct": 18, "decomposit": [8, 11, 12, 16, 18, 38, 40, 41, 43, 44], "decreas": 15, "deep": 56, "deeper": [12, 18], "def": 8, "default": [4, 5, 18, 62], "defin": [6, 39, 50, 54, 55, 57, 58], "definit": 18, "demonstr": [9, 18, 35], "denot": [6, 22, 34, 36, 37, 46], "depend": [6, 17, 18], "deprec": [3, 4, 5, 12, 16, 24, 25, 26, 27, 28, 29, 30, 48, 49, 50, 51, 54, 55, 56, 57, 58], "deprecationwarn": [4, 5, 12], "depth": [6, 15, 16], "deriv": [4, 5], "describ": [3, 6, 11, 12, 13, 18, 32, 39, 40], "deseri": 18, "design": 31, "desin": 35, "desir": [6, 18, 35], "destin": [13, 35, 37], "detail": [4, 6, 13, 16, 18], "determin": [8, 9, 17, 18, 37], "detin": 13, "dev": 17, "develop": 17, "devic": [4, 5, 32], "device_constraint": 14, "deviceconstraint": [14, 32], "dharmashankar": 16, "dict": [4, 5, 21, 24, 25, 26, 27, 28, 29, 30, 32, 33, 44, 46, 52, 55, 56, 58, 62, 63, 64], "dict_kei": [4, 65], "dictionari": [4, 11, 13, 18, 25, 26, 29, 32, 33, 37, 46, 48, 57], "did": 31, "differ": [6, 17, 23, 30, 31, 37, 43, 55, 58], "dijkstra": [18, 32], "direct": [6, 18], "directli": [13, 18], "directori": [4, 5, 17], "discard": [6, 13], "disconnect": [6, 65], "discuss": 16, "disregard": 6, "dist": 49, "distanc": [2, 56, 57], "distant": 6, "distribut": [2, 4, 5, 6, 8, 10, 11, 12, 13, 16, 18, 24, 30, 33, 43, 44, 48, 49, 50, 51, 58], "distribution_dict": 48, "do": [4, 6, 7, 13, 17, 18, 46, 62], "doc": 17, "docker": 16, "dockerfil": 17, "docplex": 18, "document": [4, 5, 6, 16, 18], "doe": [9, 13, 16, 18, 25, 36, 37, 43, 49, 65], "doi": 16, "done": 9, "dot": [9, 11, 12, 13], "draw": [4, 5, 8, 9, 11, 12, 13, 14, 33, 35], "driver": 18, "due": [6, 17, 18], "duplic": 66, "dure": [6, 11, 12, 18], "dynam": 18, "e": [4, 6, 11, 13, 17, 18, 27, 35, 45], "e4a04564eb39": 17, "each": [4, 5, 6, 8, 9, 11, 12, 13, 16, 17, 18, 22, 25, 26, 28, 29, 32, 33, 35, 36, 37, 39, 43, 44, 46, 60, 61, 62, 63, 64, 65], "earlier": [16, 18], "easi": 18, "ecrgat": [6, 18], "edwin": 16, "effect": [6, 13, 18, 35], "effici": [4, 6, 60], "efficientsu2": [4, 8, 11, 12], "egger": 16, "eigenst": [4, 5], "either": [5, 6, 12, 17, 20, 44, 51], "electronicstructureproblem": 18, "element": [6, 18, 27, 43, 44, 46, 52, 64], "emul": 17, "enabl": [6, 18], "encourag": [17, 18], "end": [6, 65], "engin": [6, 18], "enhanc": 18, "enough": [4, 5], "ensur": [6, 18, 35], "entangl": [4, 8, 11, 12, 13, 16, 18, 35], "entanglement_forg": 18, "entanglementforginggroundstatesolv": 18, "entanglementforgingresult": 18, "enter": 17, "entir": 6, "entri": 27, "entropi": [4, 5, 58], "enum": 42, "enumer": [4, 5, 12], "environ": 17, "epsilon": 6, "eq": 6, "equal": [6, 18, 36, 37, 41, 43, 46, 52, 64, 65], "equat": 6, "equival": [6, 8, 9, 13], "error": [4, 5, 6, 9, 11, 12, 13, 18, 55, 56], "essenti": 6, "estim": [6, 9, 11, 12, 13], "estimatorv2": [9, 11, 12, 13], "et": [4, 5, 50], "ev": [9, 11, 12, 13], "evalu": [6, 8, 12, 18, 26, 28, 30, 33, 44], "evaluate_subcircuit": [4, 5], "even": 18, "everi": [18, 23, 33, 46], "everyth": 17, "evolv": 16, "exact": [4, 5, 9, 10, 16, 18, 30, 44, 62], "exact_dict_bitstr": [4, 5], "exact_distribut": [4, 5], "exact_expv": [9, 11, 12, 13], "exact_prob": [4, 5], "exact_sampl": 7, "exactli": [4, 5, 6, 18, 44], "exactsampl": [7, 10], "exampl": [4, 5, 8, 12, 13, 16, 18, 54, 55, 56, 57, 58], "exceed": 20, "except": [55, 56, 57, 58], "execut": [4, 5, 6, 11, 12, 13, 16, 18, 24, 29, 30, 48, 52], "execute_experi": 18, "exist": [6, 13, 16, 31], "exp": 6, "expand": [6, 18, 31], "expand_observ": [9, 14], "expect": [4, 5, 6, 8, 18, 33, 35, 46], "experi": [4, 5, 6, 11, 16, 18, 33, 46, 54], "explain": [6, 18], "explan": 18, "explanatori": [11, 12, 13, 16, 18], "explicit": [6, 18], "explicitli": [6, 9, 18, 37], "exponenti": [6, 18], "extens": [16, 17, 18], "extra": 13, "extran": 18, "f": [6, 8, 9, 11, 12, 13, 14], "f401": [4, 5], "factor": 6, "fail": 45, "fake": [11, 12, 13], "fake_provid": [11, 12, 13], "fakemanilav2": [11, 12, 13], "fals": [12, 22, 36, 43], "famili": 6, "faster": 18, "favor": 18, "feasibl": 6, "featur": [6, 54, 55, 56, 57, 58], "few": [17, 18], "fewer": 6, "field": [18, 32, 56], "fig": [4, 5, 9, 13], "figsiz": [4, 5], "figur": 5, "file": [4, 5, 16, 17, 18], "final": [4, 6, 9, 11, 12, 27, 31, 43, 67], "final_circuit": 31, "final_expv": [9, 11, 12, 13], "find": [3, 5, 12, 15, 16, 17, 18, 24, 25, 26, 27, 28, 29, 30, 32], "find_bit": 12, "find_cut": [14, 18], "finder": 18, "finit": 8, "first": [4, 5, 6, 8, 9, 13, 17, 18, 20, 32, 35, 44], "fix": 6, "flag": [22, 25, 36], "flexibl": 18, "flip": 6, "float": [4, 30, 32, 33, 39, 44, 46, 63], "fock": 18, "fold": [4, 5, 12, 14], "follow": [4, 5, 6, 8, 9, 13, 16, 17, 18, 33, 35, 46, 49], "forc": 48, "force_prob": 48, "forg": [16, 18], "form": 6, "formal": 6, "format": 32, "forthcom": 18, "forward": [3, 4, 5, 9, 18], "found": [4, 5, 14, 25, 31], "foundat": 18, "four": [4, 5, 11, 13], "frac": [55, 57], "framework": 6, "free": [6, 17, 39], "fresh": 35, "from": [4, 5, 6, 9, 10, 16, 18, 24, 26, 28, 29, 30, 31, 32, 33, 35, 37, 44, 46, 48, 50], "from_gat": 18, "from_instruct": [8, 18], "fujii": 6, 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64, 65, 66, 67], "space": 6, "span": [11, 13, 36, 37, 65], "sparsepauliop": [7, 8, 9, 11, 12, 13, 14, 18], "special": [6, 45], "specif": [18, 43, 44], "specifi": [3, 4, 5, 6, 10, 14, 15, 18, 19, 20, 22, 25, 32, 33, 37, 45], "spell": 9, "sphinx_autodoc_typehints_typ": [52, 53], "split": [13, 18], "sqrt": 6, "squar": [4, 5, 6, 56, 57], "stage": 18, "standalon": 40, "standard_g": 8, "start": [17, 37, 65], "state": [4, 5, 6, 13, 35], "statevector": [4, 5, 7, 18], "statist": 57, "stefan": 16, "step": [4, 5, 9, 11, 12, 13, 17, 18, 49], "still": 18, "stop": 18, "str": [24, 25, 26, 27, 29, 30, 32, 38], "straight": 17, "strike": 18, "string": [13, 18], "stringifi": 18, "style": 14, "su2_gat": 4, "sub": [18, 46], "subcircuit": [6, 7, 8, 9, 11, 12, 13, 18, 19, 21, 24, 25, 26, 27, 28, 29, 30, 32, 37, 64, 65], "subcircuit_0_entry_0": 27, "subcircuit_1_entry_13": 27, "subcircuit_2_entry_7": 27, "subcircuit_entri": 27, "subcircuit_entry_idx": 27, "subcircuit_entry_prob": 24, "subcircuit_idx": [27, 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[16, 18, 55, 56, 58], "virtual": [6, 17], "visibl": 18, "visual": [4, 5, 17], "volum": [17, 54], "wa": [3, 4, 5, 18, 30, 35, 37, 46], "wai": [6, 13, 17, 25, 31, 35, 46], "want": 17, "we": [4, 5, 6, 8, 9, 11, 12, 13, 16, 17], "web": 17, "wei": 16, "weight": [16, 18, 33, 42, 44], "weighttyp": [33, 44, 46], "well": 17, "were": [9, 18, 46], "weyl": 6, "whalei": 6, "what": 18, "when": [6, 8, 16, 17, 18, 67], "where": [4, 6, 9, 18, 33], "whether": [22, 25, 36, 48], "which": [4, 5, 6, 9, 11, 13, 16, 17, 18, 20, 31, 33, 35, 37, 38, 39, 40, 43, 44, 45, 46, 52, 62, 64, 65], "while": [6, 13, 18], "who": [17, 46], "whose": [4, 5, 8, 31, 35, 44], "width": [15, 16], "window": 17, "wire": [3, 10, 15, 16, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 40, 45, 67], "wire_cut": [4, 5, 18, 25, 26, 28], "wire_cutting_evalu": 29, "wire_cutting_post_process": [24, 27], "wire_cutting_verif": [4, 5, 30], "wise": [59, 60], "wish": [8, 9, 17, 18], "within": [6, 16, 33, 43], "without": [6, 18], "woerner": 16, "work": [4, 5, 13, 17, 18, 35], "workaround": 18, "workflow": [4, 5, 6, 9, 18], "worst": 52, "worth": 6, "would": [6, 8, 13, 18], "wrap": [9, 18, 23], "written": [6, 62], "www": [4, 5], "x": [4, 6, 8, 12, 18, 35, 47, 65], "x86": 17, "x86_venv": 17, "x_i": [55, 56, 57, 58], "xi": 11, "xixi": [11, 12], "xxminusyyg": 6, "xxplusyyg": 6, "y": [4, 6], "y_i": [55, 56, 57, 58], "yaml": 17, "year": 16, "yet": [6, 17, 18], "you": [4, 5, 6, 8, 12, 16, 17, 18], "your": [16, 17, 18], "z": [4, 6], "zenodo": 16, "zero": [8, 49], "zgate": 6, "zhang": 6, "zi": 11, "ziii": [9, 13, 14], "ziiii": 9, "ziiiiii": [9, 13, 14], "ziiiiiii": 13, "ziiiiiiii": 9, "zizz": [11, 12], "zx": 61, "zz": [6, 7, 11], "zzii": [11, 12], "zzxx": 61, "zzzz": 8}, "titles": ["Circuit Cutting", "Circuit Knitting Toolbox API References", "Utilities", "CutQC (legacy circuit cutting implementation)", "CutQC Tutorial 1: Circuit Cutting with Automatic Cut Finding", "CutQC Tutorial 2: Circuit Cutting with Manual Wire Cutting", "Explanatory material for the circuit cutting module", "How to generate exact quasiprobability distributions from Sampler", "How to generate exact sampling coefficients", "How to place wire cuts using a single-qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">CutWire</span></code> instruction", "Circuit Cutting How-To Guides", "Gate Cutting to Reduce Circuit Width", "Gate Cutting to Reduce Circuit Depth", "Wire Cutting Phrased as a Two-Qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">Move</span></code> Instruction", "Automatically find cuts using CKT", "Circuit Cutting Tutorials", "Circuit Knitting Toolbox", "Installation Instructions", "Release Notes", "circuit_knitting.cutting.DeviceConstraints", "circuit_knitting.cutting.OptimizationParameters", "circuit_knitting.cutting.PartitionedCuttingProblem", "circuit_knitting.cutting.cut_gates", "circuit_knitting.cutting.cut_wires", "circuit_knitting.cutting.cutqc.build", 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"circuit_knitting.cutting.qpd.generate_qpd_weights", "circuit_knitting.cutting.qpd.qpdbasis_from_instruction", "circuit_knitting.cutting.reconstruct_expectation_values", "circuit_knitting.utils.bitwise.bit_count", "circuit_knitting.utils.conversion.dict_to_array", "circuit_knitting.utils.conversion.naive_probability_distribution", "circuit_knitting.utils.conversion.nearest_probability_distribution", "circuit_knitting.utils.conversion.quasi_to_real", "circuit_knitting.utils.iteration.unique_by_eq", "circuit_knitting.utils.iteration.unique_by_id", "circuit_knitting.utils.metrics.HOP", "circuit_knitting.utils.metrics.MAPE", "circuit_knitting.utils.metrics.MSE", "circuit_knitting.utils.metrics.chi2_distance", "circuit_knitting.utils.metrics.cross_entropy", "circuit_knitting.utils.observable_grouping.CommutingObservableGroup", "circuit_knitting.utils.observable_grouping.ObservableCollection", "circuit_knitting.utils.observable_grouping.observables_restricted_to_subsystem", "circuit_knitting.utils.simulation.ExactSampler", "circuit_knitting.utils.simulation.simulate_statevector_outcomes", "circuit_knitting.utils.transforms.SeparatedCircuits", "circuit_knitting.utils.transforms.separate_circuit", "circuit_knitting.utils.transpiler_passes.ConsolidateResets", "circuit_knitting.utils.transpiler_passes.RemoveFinalReset"], "titleterms": {"0": 18, "1": [4, 17, 18], "2": [5, 8, 17, 18], "3": [17, 18], "4": [14, 18], "5": 18, "6": 18, "7": 18, "To": 10, "accord": 11, "account": [9, 14], "add": 14, "after": 12, "against": 9, "all": 8, "an": [6, 9, 11, 12, 13], "ancilla": 14, "api": 1, "ar": 8, "automat": [0, 4, 14], "backend": [11, 12, 13, 14], "baseqpdg": 38, "been": 13, "bit_count": 47, "bitwis": [2, 47], "bug": 18, "build": 24, "calcul": [11, 12, 13, 14], "can": 14, "chi2_dist": 57, "choos": [11, 13], "chosen": [11, 12, 13], "circuit": [0, 1, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16], "circuit_knit": [2, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67], "cite": 16, "ckt": [6, 14], "cnot": 8, "coeffici": 8, "commutingobservablegroup": 59, "compar": [9, 11, 12, 13], "consolidatereset": 66, "content": 16, "convers": [2, 48, 49, 50, 51], "creat": [4, 5, 11, 12, 13, 14], "cross_entropi": 58, "crzgate": 14, "current": 6, "cut": [0, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46], "cut_circuit_wir": 25, "cut_gat": 22, "cut_wir": 23, "cutqc": [0, 3, 4, 5, 24, 25, 26, 27, 28, 29, 30], "cutwir": [9, 34], "decompos": [4, 5, 9, 11, 13], "decompose_qpd_instruct": 43, "decomposit": [0, 6], "demonstr": [8, 12], "deprec": 18, "depth": 12, "desir": 13, "develop": 16, "deviceconstraint": 19, "dict_to_arrai": 48, "distant": 12, "distribut": 7, "docker": 17, "evalu": [4, 5], "evaluate_subcircuit": 26, 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12, 13], "reconstruct_expectation_valu": 46, "reconstruct_full_distribut": 28, "recov": 9, "reduc": [11, 12], "refer": [1, 6, 16], "releas": 18, "removefinalreset": 67, "replac": 12, "result": [4, 5], "retriev": 8, "return": 8, "run": [9, 11, 12, 13, 14], "run_subcircuit_inst": 29, "runtim": [11, 12, 13], "rzzgate": 6, "sampl": [6, 8, 11, 12, 13, 14], "sampler": [7, 11, 12, 13], "separ": [9, 11, 13, 14], "separate_circuit": 65, "separatedcircuit": 64, "shallow": 12, "simul": [2, 62, 63], "simulate_statevector_outcom": 63, "singl": [9, 14], "singlequbitqpdg": 40, "sourc": 17, "specifi": [9, 11, 12, 13], "subcircuit": [4, 5, 14], "subexperi": [11, 12, 13], "subobserv": 14, "support": 17, "swap": 12, "tabl": 6, "term": [6, 9], "them": 12, "thi": [14, 16], "toolbox": [1, 16], "transform": [2, 9, 64, 65], "transpil": [2, 12], "transpiler_pass": [2, 66, 67], "tutori": [3, 4, 5, 15], "two": [6, 13, 14], "twoqubitqpdg": [12, 41], "uncut": 9, "unique_by_eq": 52, "unique_by_id": 53, "updat": 9, 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\ No newline at end of file
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[16, 18, 55, 56, 58], "virtual": [6, 17], "visibl": 18, "visual": [4, 5, 17], "volum": [17, 54], "wa": [3, 4, 5, 18, 30, 35, 37, 46], "wai": [6, 13, 17, 25, 31, 35, 46], "want": 17, "we": [4, 5, 6, 8, 9, 11, 12, 13, 16, 17], "web": 17, "wei": 16, "weight": [16, 18, 33, 42, 44], "weighttyp": [33, 44, 46], "well": 17, "were": [9, 18, 46], "weyl": 6, "whalei": 6, "what": 18, "when": [6, 8, 16, 17, 18, 67], "where": [4, 6, 9, 18, 33], "whether": [22, 25, 36, 48], "which": [4, 5, 6, 9, 11, 13, 16, 17, 18, 20, 31, 33, 35, 37, 38, 39, 40, 43, 44, 45, 46, 52, 62, 64, 65], "while": [6, 13, 18], "who": [17, 46], "whose": [4, 5, 8, 31, 35, 44], "width": [15, 16], "window": 17, "wire": [3, 10, 15, 16, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 40, 45, 67], "wire_cut": [4, 5, 18, 25, 26, 28], "wire_cutting_evalu": 29, "wire_cutting_post_process": [24, 27], "wire_cutting_verif": [4, 5, 30], "wise": [59, 60], "wish": [8, 9, 17, 18], "within": [6, 16, 33, 43], "without": [6, 18], "woerner": 16, "work": [4, 5, 13, 17, 18, 35], "workaround": 18, "workflow": [4, 5, 6, 9, 18], "worst": 52, "worth": 6, "would": [6, 8, 13, 18], "wrap": [9, 18, 23], "written": [6, 62], "www": [4, 5], "x": [4, 6, 8, 12, 18, 35, 47, 65], "x86": 17, "x86_venv": 17, "x_i": [55, 56, 57, 58], "xi": 11, "xixi": [11, 12], "xxminusyyg": 6, "xxplusyyg": 6, "y": [4, 6], "y_i": [55, 56, 57, 58], "yaml": 17, "year": 16, "yet": [6, 17, 18], "you": [4, 5, 6, 8, 12, 16, 17, 18], "your": [16, 17, 18], "z": [4, 6], "zenodo": 16, "zero": [8, 49], "zgate": 6, "zhang": 6, "zi": 11, "ziii": [9, 13, 14], "ziiii": 9, "ziiiiii": [9, 13, 14], "ziiiiiii": 13, "ziiiiiiii": 9, "zizz": [11, 12], "zx": 61, "zz": [6, 7, 11], "zzii": [11, 12], "zzxx": 61, "zzzz": 8}, "titles": ["Circuit Cutting", "Circuit Knitting Toolbox API References", "Utilities", "CutQC (legacy circuit cutting implementation)", "CutQC Tutorial 1: Circuit Cutting with Automatic Cut Finding", "CutQC Tutorial 2: Circuit Cutting with Manual Wire Cutting", "Explanatory material for the circuit cutting module", "How to generate exact quasiprobability distributions from Sampler", "How to generate exact sampling coefficients", "How to place wire cuts using a single-qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">CutWire</span></code> instruction", "Circuit Cutting How-To Guides", "Gate Cutting to Reduce Circuit Width", "Gate Cutting to Reduce Circuit Depth", "Wire Cutting Phrased as a Two-Qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">Move</span></code> Instruction", "Automatically find cuts using CKT", "Circuit Cutting Tutorials", "Circuit Knitting Toolbox", "Installation Instructions", "Release Notes", "circuit_knitting.cutting.DeviceConstraints", "circuit_knitting.cutting.OptimizationParameters", "circuit_knitting.cutting.PartitionedCuttingProblem", "circuit_knitting.cutting.cut_gates", "circuit_knitting.cutting.cut_wires", "circuit_knitting.cutting.cutqc.build", "circuit_knitting.cutting.cutqc.cut_circuit_wires", "circuit_knitting.cutting.cutqc.evaluate_subcircuits", "circuit_knitting.cutting.cutqc.generate_summation_terms", "circuit_knitting.cutting.cutqc.reconstruct_full_distribution", "circuit_knitting.cutting.cutqc.run_subcircuit_instances", "circuit_knitting.cutting.cutqc.verify", "circuit_knitting.cutting.expand_observables", "circuit_knitting.cutting.find_cuts", "circuit_knitting.cutting.generate_cutting_experiments", "circuit_knitting.cutting.instructions.CutWire", "circuit_knitting.cutting.instructions.Move", "circuit_knitting.cutting.partition_circuit_qubits", "circuit_knitting.cutting.partition_problem", "circuit_knitting.cutting.qpd.BaseQPDGate", "circuit_knitting.cutting.qpd.QPDBasis", "circuit_knitting.cutting.qpd.SingleQubitQPDGate", "circuit_knitting.cutting.qpd.TwoQubitQPDGate", "circuit_knitting.cutting.qpd.WeightType", "circuit_knitting.cutting.qpd.decompose_qpd_instructions", "circuit_knitting.cutting.qpd.generate_qpd_weights", "circuit_knitting.cutting.qpd.qpdbasis_from_instruction", "circuit_knitting.cutting.reconstruct_expectation_values", "circuit_knitting.utils.bitwise.bit_count", "circuit_knitting.utils.conversion.dict_to_array", "circuit_knitting.utils.conversion.naive_probability_distribution", "circuit_knitting.utils.conversion.nearest_probability_distribution", "circuit_knitting.utils.conversion.quasi_to_real", "circuit_knitting.utils.iteration.unique_by_eq", "circuit_knitting.utils.iteration.unique_by_id", "circuit_knitting.utils.metrics.HOP", "circuit_knitting.utils.metrics.MAPE", "circuit_knitting.utils.metrics.MSE", "circuit_knitting.utils.metrics.chi2_distance", "circuit_knitting.utils.metrics.cross_entropy", "circuit_knitting.utils.observable_grouping.CommutingObservableGroup", "circuit_knitting.utils.observable_grouping.ObservableCollection", "circuit_knitting.utils.observable_grouping.observables_restricted_to_subsystem", "circuit_knitting.utils.simulation.ExactSampler", "circuit_knitting.utils.simulation.simulate_statevector_outcomes", "circuit_knitting.utils.transforms.SeparatedCircuits", "circuit_knitting.utils.transforms.separate_circuit", "circuit_knitting.utils.transpiler_passes.ConsolidateResets", "circuit_knitting.utils.transpiler_passes.RemoveFinalReset"], "titleterms": {"0": 18, "1": [4, 17, 18], "2": [5, 8, 17, 18], "3": [17, 18], "4": [14, 18], "5": 18, "6": 18, "7": 18, "To": 10, "accord": 11, "account": [9, 14], "add": 14, "after": 12, "against": 9, "all": 8, "an": [6, 9, 11, 12, 13], "ancilla": 14, "api": 1, "ar": 8, "automat": [0, 4, 14], "backend": [11, 12, 13, 14], "baseqpdg": 38, "been": 13, "bit_count": 47, "bitwis": [2, 47], "bug": 18, "build": 24, "calcul": [11, 12, 13, 14], "can": 14, "chi2_dist": 57, "choos": [11, 13], "chosen": [11, 12, 13], "circuit": [0, 1, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16], "circuit_knit": [2, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67], "cite": 16, "ckt": [6, 14], "cnot": 8, "coeffici": 8, "commutingobservablegroup": 59, "compar": [9, 11, 12, 13], "consolidatereset": 66, "content": 16, "convers": [2, 48, 49, 50, 51], "creat": [4, 5, 11, 12, 13, 14], "cross_entropi": 58, "crzgate": 14, "current": 6, "cut": [0, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46], "cut_circuit_wir": 25, "cut_gat": 22, "cut_wir": 23, "cutqc": [0, 3, 4, 5, 24, 25, 26, 27, 28, 29, 30], "cutwir": [9, 34], "decompos": [4, 5, 9, 11, 13], "decompose_qpd_instruct": 43, "decomposit": [0, 6], "demonstr": [8, 12], "deprec": 18, "depth": 12, "desir": 13, "develop": 16, "deviceconstraint": 19, "dict_to_arrai": 48, "distant": 12, "distribut": 7, "docker": 17, "evalu": [4, 5], "evaluate_subcircuit": 26, 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"upgrad": 18, "us": [9, 11, 12, 13, 14, 17], "util": [2, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67], "valu": [9, 11, 12, 13], "verifi": [4, 5, 30], "via": 6, "visual": [9, 11, 12, 13], "weight": [6, 8], "weighttyp": [8, 42], "where": 13, "width": 11, "wire": [4, 5, 6, 9, 13, 14], "within": 17}})
\ No newline at end of file