{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "SzKwuqYESWwm"
},
"source": [
"##### Copyright 2021 The Cirq Developers"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"cellView": "form",
"execution": {
"iopub.execute_input": "2024-08-16T10:05:46.247085Z",
"iopub.status.busy": "2024-08-16T10:05:46.246571Z",
"iopub.status.idle": "2024-08-16T10:05:46.250556Z",
"shell.execute_reply": "2024-08-16T10:05:46.249915Z"
},
"id": "4yPUsdJxSXFq"
},
"outputs": [],
"source": [
"#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
"#\n",
"# https://www.apache.org/licenses/LICENSE-2.0\n",
"#\n",
"# Unless required by applicable law or agreed to in writing, software\n",
"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"# See the License for the specific language governing permissions and\n",
"# limitations under the License."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zC1qlUJoSXhm"
},
"source": [
"
"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:05:46.253735Z",
"iopub.status.busy": "2024-08-16T10:05:46.253214Z",
"iopub.status.idle": "2024-08-16T10:06:02.057924Z",
"shell.execute_reply": "2024-08-16T10:06:02.056978Z"
},
"id": "bd9529db1c0b"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"installing cirq...\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n",
"tensorflow 2.17.0 requires protobuf!=4.21.0,!=4.21.1,!=4.21.2,!=4.21.3,!=4.21.4,!=4.21.5,<5.0.0dev,>=3.20.3, but you have protobuf 5.27.3 which is incompatible.\r\n",
"tensorflow-metadata 1.15.0 requires protobuf<4.21,>=3.20.3; python_version < \"3.11\", but you have protobuf 5.27.3 which is incompatible.\u001b[0m\u001b[31m\r\n",
"\u001b[0m"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"installed cirq.\n"
]
}
],
"source": [
"try:\n",
" import cirq\n",
"except ImportError:\n",
" print(\"installing cirq...\")\n",
" !pip install --quiet cirq~=1.0.dev\n",
" print(\"installed cirq.\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dd95be2a71eb"
},
"source": [
"# Parallel XEB\n",
"This notebook demonstrates how to use the functionality in `cirq.experiments` to run parallel XEB end-to-end. \"Parallel\" means we characterize multiple pairs simultaneously."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:06:02.062495Z",
"iopub.status.busy": "2024-08-16T10:06:02.061881Z",
"iopub.status.idle": "2024-08-16T10:06:03.836585Z",
"shell.execute_reply": "2024-08-16T10:06:03.835821Z"
},
"id": "046b07823210"
},
"outputs": [],
"source": [
"import cirq\n",
"import numpy as np\n",
"\n",
"%matplotlib inline\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Parallel XEB with library functions\n",
"The entire XEB workflow can be run by calling `cirq.experiments.parallel_two_qubit_xeb` and the combined single-qubit randomized benchmarking (RB) and XEB workflows can be run by calling `cirq.experiments.run_rb_and_xeb`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:06:03.840979Z",
"iopub.status.busy": "2024-08-16T10:06:03.840299Z",
"iopub.status.idle": "2024-08-16T10:09:23.248974Z",
"shell.execute_reply": "2024-08-16T10:09:23.248141Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
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"\r",
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]
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"\r",
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"\r",
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]
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"\r",
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]
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{
"name": "stderr",
"output_type": "stream",
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"\r",
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]
},
{
"name": "stderr",
"output_type": "stream",
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"\r",
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]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"# Simulation\n",
"qubits = cirq.GridQubit.rect(3, 2, 4, 3)\n",
"result = cirq.experiments.parallel_two_qubit_xeb(\n",
" sampler=cirq.DensityMatrixSimulator(noise=cirq.depolarize(5e-3), dtype=np.complex128), # Any simulator or a ProcessorSampler.\n",
" qubits=qubits\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:23.253026Z",
"iopub.status.busy": "2024-08-16T10:09:23.252610Z",
"iopub.status.idle": "2024-08-16T10:09:23.943059Z",
"shell.execute_reply": "2024-08-16T10:09:23.942318Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The returned result is an instance of the `TwoQubitXEBResult` class which provides visualization methods like \n",
"result.plot_heatmap(); # plot the heatmap of XEB errors\n",
"result.plot_fitted_exponential(*qubits[:2]); # plot the fitted model of xeb error of a qubit pair.\n",
"result.plot_histogram(); # plot a histogram of all xeb errors."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:23.946656Z",
"iopub.status.busy": "2024-08-16T10:09:23.946096Z",
"iopub.status.idle": "2024-08-16T10:09:23.951843Z",
"shell.execute_reply": "2024-08-16T10:09:23.951191Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pauli errors: {(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4)): 0.019636423878662858, (cirq.GridQubit(4, 3), cirq.GridQubit(5, 3)): 0.020566447772565125, (cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)): 0.020163302106650897, (cirq.GridQubit(5, 3), cirq.GridQubit(5, 4)): 0.01997975632123169, (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3)): 0.020116994350702008, (cirq.GridQubit(5, 4), cirq.GridQubit(6, 4)): 0.019290973315048178, (cirq.GridQubit(6, 3), cirq.GridQubit(6, 4)): 0.02020556652158726}\n",
"xeb errors: 0.01570913910293026\n",
"xeb fidelity: 0.9842908608970697\n"
]
}
],
"source": [
"# `TwoQubitXEBResult` also has methods to retrieve errors.\n",
"print('pauli errors:', result.pauli_error())\n",
"print('xeb errors:', result.xeb_error(*qubits[:2]))\n",
"print('xeb fidelity:', result.xeb_fidelity(*qubits[:2]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `run_rb_and_xeb` method returns an object of type [InferredXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L188C7-L188C24) which is like [TwoQubitXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L56) except that it removes the single-qubit errors obtained from the single-qubit randomized benchmarking (RB) experiment to isolate the error from the two qubit gate."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ace31cc4d258"
},
"source": [
"# Step by step XEB\n",
"The rest of this notebook explains how the `parallel_two_qubit_xeb` works internally. Note that the notebook uses `SQRT_ISWAP` as the entangling gate while `parallel_two_qubit_xeb` and `run_rb_and_xeb` default to `CZ`.\n",
"\n",
"## Set up Random Circuits\n",
"\n",
"We create a library of 10 random, two-qubit `circuits` using the sqrt(ISWAP) gate. These library circuits will be mixed-and-matched among all the pairs on the device we aim to characterize."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:23.955359Z",
"iopub.status.busy": "2024-08-16T10:09:23.954821Z",
"iopub.status.idle": "2024-08-16T10:09:24.089422Z",
"shell.execute_reply": "2024-08-16T10:09:24.088697Z"
},
"id": "6fa8a0266b7a"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"20\n"
]
}
],
"source": [
"from cirq.experiments import random_quantum_circuit_generation as rqcg\n",
"\n",
"circuit_library = rqcg.generate_library_of_2q_circuits(\n",
" n_library_circuits=20, \n",
" two_qubit_gate=cirq.ISWAP**0.5,\n",
" random_state=52,\n",
")\n",
"print(len(circuit_library))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:24.092924Z",
"iopub.status.busy": "2024-08-16T10:09:24.092397Z",
"iopub.status.idle": "2024-08-16T10:09:24.097450Z",
"shell.execute_reply": "2024-08-16T10:09:24.096781Z"
},
"id": "c7c044ec12ac"
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 3, 23, 43, 63, 83])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# We will truncate to these lengths\n",
"max_depth = 100\n",
"cycle_depths = np.arange(3, max_depth, 20)\n",
"cycle_depths"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6fbec4054504"
},
"source": [
"## Determine the device topology\n",
"\n",
"We will run on all pairs from a given device topology. Below, you can supply a `device_name` if you're authenticated to run on Google QCS. In that case, we will get the device object from the cloud endpoint and turn it into a graph of qubits. Otherwise, we mock a device graph by allocating arbitrary `cirq.GridQubit`s to turn into a graph."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:24.100901Z",
"iopub.status.busy": "2024-08-16T10:09:24.100367Z",
"iopub.status.idle": "2024-08-16T10:09:24.248965Z",
"shell.execute_reply": "2024-08-16T10:09:24.248028Z"
},
"id": "af1e12169e88"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"device_name = None # change me!\n",
"\n",
"import cirq.contrib.routing as ccr\n",
"import networkx as nx\n",
"\n",
"if device_name is None:\n",
" qubits = cirq.GridQubit.rect(3, 2, 4, 3)\n",
" # Delete one qubit from the rectangular arangement to\n",
" # 1) make it irregular 2) simplify simulation.\n",
" qubits = qubits[:-1]\n",
" sampler = cirq.DensityMatrixSimulator(noise=cirq.depolarize(5e-3))\n",
" graph = ccr.gridqubits_to_graph_device(qubits)\n",
"else:\n",
" import cirq_google as cg\n",
" sampler = cg.get_engine_sampler(device_name, gate_set_name='sqrt_iswap')\n",
" device = cg.get_engine_device(device_name)\n",
" qubits = sorted(device.qubits)\n",
" graph = ccr.gridqubits_to_graph_device(device.qubits)\n",
"\n",
"\n",
"pos = {q: (q.row, q.col) for q in qubits}\n",
"nx.draw_networkx(graph, pos=pos)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5d6f40acc7bf"
},
"source": [
"## Set up our combinations\n",
"We take the library of two-qubit circuits in `circuit_library` and mix-and-match to sampled in parallel.\n",
"\n",
"We will pass `combs_by_layer` and `circuit_library` to the sampling function which will \"zip\" the circuits according to these combinations. The outer list corresponds to the four `cirq.GridInteractionLayer`s (one of four for the degree-four GridQubit-implied graph). The inner `combinations` matrix is a `(n_combinations, n_pairs)` ndarray of integers which index into the circuit library."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:24.252924Z",
"iopub.status.busy": "2024-08-16T10:09:24.252208Z",
"iopub.status.idle": "2024-08-16T10:09:24.259837Z",
"shell.execute_reply": "2024-08-16T10:09:24.258939Z"
},
"id": "fbaf9c5c5335"
},
"outputs": [
{
"data": {
"text/plain": [
"[CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=True, stagger=True), combinations=array([[ 5, 16],\n",
" [12, 9],\n",
" [ 5, 18],\n",
" [11, 3],\n",
" [ 6, 9],\n",
" [13, 3],\n",
" [11, 6],\n",
" [14, 12],\n",
" [16, 10],\n",
" [18, 15]]), pairs=[(cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)), (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3))]),\n",
" CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=True, stagger=True), combinations=array([[16],\n",
" [ 3],\n",
" [12],\n",
" [ 0],\n",
" [ 5],\n",
" [ 5],\n",
" [ 0],\n",
" [ 7],\n",
" [ 9],\n",
" [12]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(5, 3))]),\n",
" CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=False, stagger=True), combinations=array([[13],\n",
" [ 8],\n",
" [ 8],\n",
" [13],\n",
" [ 1],\n",
" [11],\n",
" [11],\n",
" [ 8],\n",
" [14],\n",
" [14]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4))]),\n",
" CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=False, stagger=True), combinations=array([[18],\n",
" [16],\n",
" [ 2],\n",
" [ 6],\n",
" [ 1],\n",
" [ 9],\n",
" [11],\n",
" [ 1],\n",
" [ 9],\n",
" [ 6]]), pairs=[(cirq.GridQubit(5, 3), cirq.GridQubit(5, 4))])]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"combs_by_layer = rqcg.get_random_combinations_for_device(\n",
" n_library_circuits=len(circuit_library),\n",
" n_combinations=10,\n",
" device_graph=graph,\n",
" random_state=53,\n",
")\n",
"combs_by_layer"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "d82866ff2269"
},
"source": [
"### Visualize\n",
"Here, we draw the four layers' active pairs."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:24.263364Z",
"iopub.status.busy": "2024-08-16T10:09:24.262731Z",
"iopub.status.idle": "2024-08-16T10:09:24.821221Z",
"shell.execute_reply": "2024-08-16T10:09:24.820243Z"
},
"id": "7ea374d2d337"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2,2, figsize=(9,6))\n",
"for comb_layer, ax in zip(combs_by_layer, axes.reshape(-1)):\n",
" active_qubits = np.array(comb_layer.pairs).reshape(-1)\n",
" colors = ['red' if q in active_qubits else 'blue' for q in graph.nodes]\n",
" nx.draw_networkx(graph, pos=pos, node_color=colors, ax=ax)\n",
" nx.draw_networkx_edges(graph, pos=pos, edgelist=comb_layer.pairs, width=3, edge_color='red', ax=ax)\n",
" \n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "423f56a942f6"
},
"source": [
"## Take Data\n",
"\n",
"The following call will execute the zipped circuits and sample bitstrings."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:09:24.825298Z",
"iopub.status.busy": "2024-08-16T10:09:24.824558Z",
"iopub.status.idle": "2024-08-16T10:10:17.822635Z",
"shell.execute_reply": "2024-08-16T10:10:17.821876Z"
},
"id": "aab08193f046"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 0%| | 0/207 [00:00, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 4%|▍ | 9/207 [00:02<00:48, 4.10it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 9%|▊ | 18/207 [00:04<00:42, 4.47it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 13%|█▎ | 27/207 [00:05<00:35, 5.13it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 17%|█▋ | 36/207 [00:08<00:40, 4.27it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 22%|██▏ | 45/207 [00:10<00:41, 3.91it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 26%|██▌ | 54/207 [00:13<00:38, 3.94it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 30%|███ | 63/207 [00:14<00:32, 4.37it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 35%|███▍ | 72/207 [00:17<00:35, 3.76it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 39%|███▉ | 81/207 [00:20<00:33, 3.80it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 43%|████▎ | 90/207 [00:23<00:33, 3.51it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 48%|████▊ | 99/207 [00:25<00:28, 3.77it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 52%|█████▏ | 108/207 [00:27<00:27, 3.61it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 57%|█████▋ | 117/207 [00:30<00:25, 3.50it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 61%|██████ | 126/207 [00:33<00:23, 3.46it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 65%|██████▌ | 135/207 [00:35<00:20, 3.52it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 70%|██████▉ | 144/207 [00:38<00:19, 3.29it/s]"
]
},
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"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 74%|███████▍ | 153/207 [00:40<00:14, 3.78it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 78%|███████▊ | 162/207 [00:42<00:11, 3.93it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 83%|████████▎ | 171/207 [00:45<00:09, 3.63it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 87%|████████▋ | 180/207 [00:47<00:06, 4.03it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
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]
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{
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" sampled_probs timestamp \\\n",
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"\n",
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]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from cirq.experiments.xeb_sampling import sample_2q_xeb_circuits\n",
"sampled_df = sample_2q_xeb_circuits(\n",
" sampler=sampler,\n",
" circuits=circuit_library,\n",
" cycle_depths=cycle_depths,\n",
" combinations_by_layer=combs_by_layer,\n",
" shuffle=np.random.RandomState(52),\n",
" repetitions=10_000,\n",
")\n",
"sampled_df"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "16b5a4a86384"
},
"source": [
"## Benchmark Fidelities"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:17.826338Z",
"iopub.status.busy": "2024-08-16T10:10:17.825946Z",
"iopub.status.idle": "2024-08-16T10:10:18.922418Z",
"shell.execute_reply": "2024-08-16T10:10:18.921708Z"
},
"id": "8dd3ed7024ef"
},
"outputs": [
{
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" layer_i pair_i cycle_depth fidelity pair\n",
"0 0 0 3 0.924359 (q(4, 4), q(5, 4))\n",
"1 0 0 23 0.602137 (q(4, 4), q(5, 4))\n",
"2 0 0 43 0.401644 (q(4, 4), q(5, 4))\n",
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"5 0 1 3 0.935723 (q(5, 3), q(6, 3))\n",
"6 0 1 23 0.608547 (q(5, 3), q(6, 3))\n",
"7 0 1 43 0.395650 (q(5, 3), q(6, 3))\n",
"8 0 1 63 0.260974 (q(5, 3), q(6, 3))\n",
"9 0 1 83 0.163865 (q(5, 3), q(6, 3))\n",
"10 1 0 3 0.932057 (q(4, 3), q(5, 3))\n",
"11 1 0 23 0.611348 (q(4, 3), q(5, 3))\n",
"12 1 0 43 0.390680 (q(4, 3), q(5, 3))\n",
"13 1 0 63 0.259471 (q(4, 3), q(5, 3))\n",
"14 1 0 83 0.165824 (q(4, 3), q(5, 3))\n",
"15 2 0 3 0.933990 (q(4, 3), q(4, 4))\n",
"16 2 0 23 0.594480 (q(4, 3), q(4, 4))\n",
"17 2 0 43 0.398090 (q(4, 3), q(4, 4))\n",
"18 2 0 63 0.256723 (q(4, 3), q(4, 4))\n",
"19 2 0 83 0.170710 (q(4, 3), q(4, 4))\n",
"20 3 0 3 0.937113 (q(5, 3), q(5, 4))\n",
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"22 3 0 43 0.390350 (q(5, 3), q(5, 4))\n",
"23 3 0 63 0.260326 (q(5, 3), q(5, 4))\n",
"24 3 0 83 0.162959 (q(5, 3), q(5, 4))"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from cirq.experiments.xeb_fitting import benchmark_2q_xeb_fidelities\n",
"fids = benchmark_2q_xeb_fidelities(\n",
" sampled_df=sampled_df,\n",
" circuits=circuit_library,\n",
" cycle_depths=cycle_depths,\n",
")\n",
"fids"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:18.925957Z",
"iopub.status.busy": "2024-08-16T10:10:18.925426Z",
"iopub.status.idle": "2024-08-16T10:10:18.950067Z",
"shell.execute_reply": "2024-08-16T10:10:18.949383Z"
},
"id": "05748707cacc"
},
"outputs": [],
"source": [
"from cirq.experiments.xeb_fitting import fit_exponential_decays, exponential_decay\n",
"fidelities = fit_exponential_decays(fids)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:18.953337Z",
"iopub.status.busy": "2024-08-16T10:10:18.952783Z",
"iopub.status.idle": "2024-08-16T10:10:19.132014Z",
"shell.execute_reply": "2024-08-16T10:10:19.131322Z"
},
"id": "WJbgW4r1Guuf"
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"heatmap_data = {}\n",
"\n",
"for (_, _, pair), fidelity in fidelities.layer_fid.items():\n",
" heatmap_data[pair] = 1.0 - fidelity\n",
"\n",
"cirq.TwoQubitInteractionHeatmap(heatmap_data).plot();"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:19.135515Z",
"iopub.status.busy": "2024-08-16T10:10:19.134911Z",
"iopub.status.idle": "2024-08-16T10:10:19.604922Z",
"shell.execute_reply": "2024-08-16T10:10:19.604168Z"
},
"id": "a12f73217150"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i, record in fidelities.iterrows():\n",
" plt.axhline(1, color='grey', ls='--')\n",
" plt.plot(record['cycle_depths'], record['fidelities'], 'o')\n",
" xx = np.linspace(0, np.max(record['cycle_depths']))\n",
" plt.plot(xx, exponential_decay(xx, a=record['a'], layer_fid=record['layer_fid']))\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:19.608817Z",
"iopub.status.busy": "2024-08-16T10:10:19.607938Z",
"iopub.status.idle": "2024-08-16T10:10:20.047226Z",
"shell.execute_reply": "2024-08-16T10:10:20.046428Z"
},
"id": "8c08c9ab8109"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmpfs/tmp/ipykernel_88014/2578408089.py:16: DeprecationWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n",
" fids.groupby('pair').apply(_p)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"\n",
"# Give each pair its own color\n",
"colors = sns.cubehelix_palette(n_colors=graph.number_of_edges())\n",
"colors = dict(zip(graph.edges, colors))\n",
"\n",
"# Exponential reference\n",
"xx = np.linspace(0, fids['cycle_depth'].max())\n",
"plt.plot(xx, (1-5e-3)**(4*xx), label=r'Exponential Reference', color='black')\n",
"\n",
"# Plot each pair\n",
"def _p(fids):\n",
" q0, q1 = fids.name\n",
" plt.plot(fids['cycle_depth'], fids['fidelity'], \n",
" 'o-', label=f'{q0}-{q1}', color=colors[fids.name], alpha=0.5)\n",
"fids.groupby('pair').apply(_p)\n",
"\n",
"plt.ylabel('Circuit fidelity')\n",
"plt.xlabel('Cycle Depth $d$')\n",
"plt.legend(loc='best')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6025a292d19b"
},
"source": [
"## Optimize `PhasedFSimGate` parameters\n",
"\n",
"We know what circuits we requested, and in this simulated example, we know what coherent error has happened. But in a real experiment, there is likely unknown coherent error that you would like to characterize. Therefore, we make the five angles in `PhasedFSimGate` free parameters and use a classical optimizer to find which set of parameters best describes the data we collected from the noisy simulator (or device, if this was a real experiment)."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:20.051467Z",
"iopub.status.busy": "2024-08-16T10:10:20.051022Z",
"iopub.status.idle": "2024-08-16T10:10:20.187977Z",
"shell.execute_reply": "2024-08-16T10:10:20.186990Z"
},
"id": "baff45b4ad70"
},
"outputs": [],
"source": [
"import multiprocessing\n",
"pool = multiprocessing.get_context('spawn').Pool()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:10:20.192346Z",
"iopub.status.busy": "2024-08-16T10:10:20.191591Z",
"iopub.status.idle": "2024-08-16T10:13:18.343300Z",
"shell.execute_reply": "2024-08-16T10:13:18.342191Z"
},
"id": "a3aaf1dfce4e"
},
"outputs": [],
"source": [
"from cirq.experiments.xeb_fitting import (\n",
" parameterize_circuit, \n",
" characterize_phased_fsim_parameters_with_xeb_by_pair, \n",
" SqrtISwapXEBOptions,\n",
")\n",
"\n",
"# Set which angles we want to characterize (all)\n",
"options = SqrtISwapXEBOptions(\n",
" characterize_theta = True,\n",
" characterize_zeta = True,\n",
" characterize_chi = True,\n",
" characterize_gamma = True,\n",
" characterize_phi = True\n",
")\n",
"# Parameterize the sqrt(iswap)s in our circuit library\n",
"pcircuits = [parameterize_circuit(circuit, options) for circuit in circuit_library]\n",
"\n",
"# Run the characterization loop\n",
"characterization_result = characterize_phased_fsim_parameters_with_xeb_by_pair(\n",
" sampled_df,\n",
" pcircuits,\n",
" cycle_depths,\n",
" options,\n",
" pool=pool,\n",
" # ease tolerance so it converges faster:\n",
" fatol=1e-2, \n",
" xatol=1e-2\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:13:18.348386Z",
"iopub.status.busy": "2024-08-16T10:13:18.347783Z",
"iopub.status.idle": "2024-08-16T10:13:18.354603Z",
"shell.execute_reply": "2024-08-16T10:13:18.353524Z"
},
"id": "c3961ac4e6c7"
},
"outputs": [
{
"data": {
"text/plain": [
"{(cirq.GridQubit(5, 3), cirq.GridQubit(5, 4)): {'theta': -0.8358559833881973,\n",
" 'zeta': 0.0985748504600348,\n",
" 'chi': -0.07032929766294402,\n",
" 'gamma': -0.014808163776967427,\n",
" 'phi': 0.0024211507784560418},\n",
" (cirq.GridQubit(4, 3), cirq.GridQubit(4, 4)): {'theta': -0.7818074739271912,\n",
" 'zeta': 0.04969792829459305,\n",
" 'chi': -0.03173414685696646,\n",
" 'gamma': -0.003003276396818758,\n",
" 'phi': 0.08024261829227475},\n",
" (cirq.GridQubit(4, 3), cirq.GridQubit(5, 3)): {'theta': -0.7546133412555265,\n",
" 'zeta': 0.031051811537312974,\n",
" 'chi': -0.03546217402080426,\n",
" 'gamma': 0.03421976841002088,\n",
" 'phi': -0.07138279551841961},\n",
" (cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)): {'theta': -0.7794238690250137,\n",
" 'zeta': 0.02616323292627378,\n",
" 'chi': -0.021634186206596837,\n",
" 'gamma': 0.007649758504808384,\n",
" 'phi': 0.03851984830556182},\n",
" (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3)): {'theta': -0.7513435310492893,\n",
" 'zeta': 0.011447292691332156,\n",
" 'chi': -0.06011758457764758,\n",
" 'gamma': 0.003969260785645154,\n",
" 'phi': 0.020320044854044705}}"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"characterization_result.final_params"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:13:18.358711Z",
"iopub.status.busy": "2024-08-16T10:13:18.358153Z",
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{
"data": {
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" layer_i pair_i cycle_depth fidelity pair\n",
"0 3 0 3 0.948289 (q(5, 3), q(5, 4))\n",
"1 3 0 23 0.691467 (q(5, 3), q(5, 4))\n",
"2 3 0 43 0.422343 (q(5, 3), q(5, 4))\n",
"3 3 0 63 0.319422 (q(5, 3), q(5, 4))\n",
"4 3 0 83 0.137287 (q(5, 3), q(5, 4))\n",
"0 2 0 3 0.956347 (q(4, 3), q(4, 4))\n",
"1 2 0 23 0.659896 (q(4, 3), q(4, 4))\n",
"2 2 0 43 0.434231 (q(4, 3), q(4, 4))\n",
"3 2 0 63 0.322766 (q(4, 3), q(4, 4))\n",
"4 2 0 83 0.109910 (q(4, 3), q(4, 4))\n",
"0 1 0 3 0.949680 (q(4, 3), q(5, 3))\n",
"1 1 0 23 0.597285 (q(4, 3), q(5, 3))\n",
"2 1 0 43 0.445264 (q(4, 3), q(5, 3))\n",
"3 1 0 63 0.287802 (q(4, 3), q(5, 3))\n",
"4 1 0 83 0.133597 (q(4, 3), q(5, 3))\n",
"0 0 0 3 0.918990 (q(4, 4), q(5, 4))\n",
"1 0 0 23 0.629059 (q(4, 4), q(5, 4))\n",
"2 0 0 43 0.414442 (q(4, 4), q(5, 4))\n",
"3 0 0 63 0.281983 (q(4, 4), q(5, 4))\n",
"4 0 0 83 0.160147 (q(4, 4), q(5, 4))\n",
"0 0 1 3 0.934248 (q(5, 3), q(6, 3))\n",
"1 0 1 23 0.634488 (q(5, 3), q(6, 3))\n",
"2 0 1 43 0.422725 (q(5, 3), q(6, 3))\n",
"3 0 1 63 0.277619 (q(5, 3), q(6, 3))\n",
"4 0 1 83 0.123263 (q(5, 3), q(6, 3))"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"characterization_result.fidelities_df"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"execution": {
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{
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],
"text/plain": [
" layer_i pair_i a_0 layer_fid_0 \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) 0 0 0.985229 0.979007 \n",
"(q(5, 3), q(6, 3)) 0 1 0.998220 0.978722 \n",
"(q(4, 3), q(5, 3)) 1 0 0.995476 0.978737 \n",
"(q(4, 3), q(4, 4)) 2 0 0.991657 0.978749 \n",
"(q(5, 3), q(5, 4)) 3 0 0.997790 0.978497 \n",
"\n",
" cycle_depths_0 \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) [3, 23, 43, 63, 83] \n",
"(q(5, 3), q(6, 3)) [3, 23, 43, 63, 83] \n",
"(q(4, 3), q(5, 3)) [3, 23, 43, 63, 83] \n",
"(q(4, 3), q(4, 4)) [3, 23, 43, 63, 83] \n",
"(q(5, 3), q(5, 4)) [3, 23, 43, 63, 83] \n",
"\n",
" fidelities_0 \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) [0.9243590986144916, 0.6021365054823377, 0.401... \n",
"(q(5, 3), q(6, 3)) [0.9357225202855002, 0.6085474283031902, 0.395... \n",
"(q(4, 3), q(5, 3)) [0.9320573616289755, 0.6113484374150416, 0.390... \n",
"(q(4, 3), q(4, 4)) [0.9339901721171486, 0.5944803129906256, 0.398... \n",
"(q(5, 3), q(5, 4)) [0.9371130156184624, 0.6001488340920192, 0.390... \n",
"\n",
" a_std_0 layer_fid_std_0 a_c layer_fid_c \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) 0.005972 0.000233 0.984349 0.979909 \n",
"(q(5, 3), q(6, 3)) 0.003103 0.000121 1.000000 0.979197 \n",
"(q(4, 3), q(5, 3)) 0.004176 0.000163 1.000000 0.979416 \n",
"(q(4, 3), q(4, 4)) 0.007917 0.000310 1.000000 0.980275 \n",
"(q(5, 3), q(5, 4)) 0.005500 0.000216 1.000000 0.980765 \n",
"\n",
" cycle_depths_c \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) [3, 23, 43, 63, 83] \n",
"(q(5, 3), q(6, 3)) [3, 23, 43, 63, 83] \n",
"(q(4, 3), q(5, 3)) [3, 23, 43, 63, 83] \n",
"(q(4, 3), q(4, 4)) [3, 23, 43, 63, 83] \n",
"(q(5, 3), q(5, 4)) [3, 23, 43, 63, 83] \n",
"\n",
" fidelities_c \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) [0.9189895024511325, 0.6290591525950732, 0.414... \n",
"(q(5, 3), q(6, 3)) [0.9342481723696031, 0.6344881870275433, 0.422... \n",
"(q(4, 3), q(5, 3)) [0.9496796707539401, 0.5972851803372087, 0.445... \n",
"(q(4, 3), q(4, 4)) [0.9563472983663758, 0.6598960495362645, 0.434... \n",
"(q(5, 3), q(5, 4)) [0.9482893209965818, 0.6914670736815184, 0.422... \n",
"\n",
" a_std_c layer_fid_std_c \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) 0.016945 0.000641 \n",
"(q(5, 3), q(6, 3)) 0.036024 0.001376 \n",
"(q(4, 3), q(5, 3)) 0.039875 0.001511 \n",
"(q(4, 3), q(4, 4)) 0.058048 0.002134 \n",
"(q(5, 3), q(5, 4)) 0.051830 0.001872 \n",
"\n",
" characterized_angles \\\n",
"pair \n",
"(q(4, 4), q(5, 4)) {'theta': -0.7794238690250137, 'zeta': 0.02616... \n",
"(q(5, 3), q(6, 3)) {'theta': -0.7513435310492893, 'zeta': 0.01144... \n",
"(q(4, 3), q(5, 3)) {'theta': -0.7546133412555265, 'zeta': 0.03105... \n",
"(q(4, 3), q(4, 4)) {'theta': -0.7818074739271912, 'zeta': 0.04969... \n",
"(q(5, 3), q(5, 4)) {'theta': -0.8358559833881973, 'zeta': 0.09857... \n",
"\n",
" theta zeta chi gamma phi \n",
"pair \n",
"(q(4, 4), q(5, 4)) -0.779424 0.026163 -0.021634 0.007650 0.038520 \n",
"(q(5, 3), q(6, 3)) -0.751344 0.011447 -0.060118 0.003969 0.020320 \n",
"(q(4, 3), q(5, 3)) -0.754613 0.031052 -0.035462 0.034220 -0.071383 \n",
"(q(4, 3), q(4, 4)) -0.781807 0.049698 -0.031734 -0.003003 0.080243 \n",
"(q(5, 3), q(5, 4)) -0.835856 0.098575 -0.070329 -0.014808 0.002421 "
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from cirq.experiments.xeb_fitting import before_and_after_characterization\n",
"before_after_df = before_and_after_characterization(fids, characterization_result)\n",
"before_after_df"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"execution": {
"iopub.execute_input": "2024-08-16T10:13:18.454223Z",
"iopub.status.busy": "2024-08-16T10:13:18.453616Z",
"iopub.status.idle": "2024-08-16T10:13:19.179560Z",
"shell.execute_reply": "2024-08-16T10:13:19.178442Z"
},
"id": "583abc4f0c47"
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i, row in before_after_df.iterrows():\n",
" plt.axhline(1, color='grey', ls='--')\n",
" plt.plot(row['cycle_depths_0'], row['fidelities_0'], '*', color='red')\n",
" plt.plot(row['cycle_depths_c'], row['fidelities_c'], 'o', color='blue')\n",
"\n",
" xx = np.linspace(0, np.max(row['cycle_depths_0']))\n",
" plt.plot(xx, exponential_decay(xx, a=row['a_0'], layer_fid=row['layer_fid_0']), \n",
" color='red', label=f'f_0 = {row[\"layer_fid_0\"]:.3f}')\n",
" plt.plot(xx, exponential_decay(xx, a=row['a_c'], layer_fid=row['layer_fid_c']),\n",
" color='blue', label=f'f_c = {row[\"layer_fid_c\"]:.3f}')\n",
" \n",
" plt.xlabel('Cycle Depth')\n",
" plt.ylabel('Fidelity')\n",
" plt.legend(loc='best')\n",
" plt.tight_layout()\n",
" plt.show()"
]
}
],
"metadata": {
"colab": {
"name": "parallel_xeb.ipynb",
"toc_visible": true
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.14"
}
},
"nbformat": 4,
"nbformat_minor": 4
}