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A proposal for a reproducible, scalable, and holistic Adversarial Quantum Benchmark.
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "28d94490-d7e1-4ab2-b28b-9745a2388233", | |
"metadata": {}, | |
"source": [ | |
"# Permuted Mirror Circuit Benchmark\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "50d16599-25ba-45eb-82c2-4cf3bfb8d769", | |
"metadata": {}, | |
"source": [ | |
"## Imports\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "c6286476-f9f2-42e8-9446-232d61e01628", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Benchmarking libraries\n", | |
"import numpy as np\n", | |
"from qiskit import QuantumCircuit, transpile\n", | |
"from qiskit.visualization import plot_bloch_multivector, plot_histogram\n", | |
"from qiskit.quantum_info import Statevector\n", | |
"\n", | |
"# Simulator libraries\n", | |
"from qiskit.providers.fake_provider import GenericBackendV2\n", | |
"\n", | |
"# Visualization libraries\n", | |
"import matplotlib.pyplot as plt\n", | |
"from tqdm import tqdm\n", | |
"import time" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "0648303f-852b-4b09-96da-a1713be85efc", | |
"metadata": {}, | |
"source": [ | |
"## Benchmark Class\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "f75fc35c-c956-4c31-8ed0-1748908eb6df", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class PermutedMirrorCircuit:\n", | |
" \"\"\"\n", | |
" Class to generate and run a permuted mirror circuit benchmark on a given backend.\n", | |
" \"\"\"\n", | |
"\n", | |
" OPTIMIZATION_LEVEL = 0\n", | |
"\n", | |
" def __init__(\n", | |
" self,\n", | |
" num_qubits: int,\n", | |
" repetitions: int = 1,\n", | |
" backend=None,\n", | |
" ) -> None:\n", | |
" \"\"\"\n", | |
" Initialize the PermutedMirrorCircuit.\n", | |
"\n", | |
" Parameters:\n", | |
" num_qubits: Number of qubits in the quantum circuit.\n", | |
" repetitions: Number of times to repeat the benchmark circuit. Defaults to num_qubits.\n", | |
" backend: Backend simulator or quantum device to run the benchmark. Defaults to GenericBackendV2.\n", | |
" \"\"\"\n", | |
" self.num_qubits = num_qubits\n", | |
" self.repetitions = repetitions or self.num_qubits\n", | |
" self.backend = backend or GenericBackendV2(num_qubits=self.num_qubits)\n", | |
" self.circuit = self._generate_benchmark()\n", | |
" self.counts = None\n", | |
"\n", | |
" def __call__(self, shots: int = 100) -> float:\n", | |
" \"\"\"\n", | |
" Run the benchmark on the given backend.\n", | |
"\n", | |
" Parameters:\n", | |
" shots: Number of shots to run the quantum circuit.\n", | |
"\n", | |
" Returns:\n", | |
" Result of the quantum circuit on the given backend.\n", | |
" \"\"\"\n", | |
" self.counts = self._run_circuit(self.circuit, shots=shots)\n", | |
" self.result = self._calculate_result(counts=self.counts, qubits=self.num_qubits)\n", | |
" return self.result\n", | |
"\n", | |
" def _generate_benchmark(self) -> QuantumCircuit:\n", | |
" \"\"\"\n", | |
" Generate the benchmark quantum circuit.\n", | |
"\n", | |
" Parameters:\n", | |
" num_qubits: Number of qubits in the quantum circuit.\n", | |
"\n", | |
" Returns:\n", | |
" Gate instance of the benchmark.\n", | |
" \"\"\"\n", | |
" benchmark = QuantumCircuit(self.num_qubits)\n", | |
" for _ in range(self.repetitions):\n", | |
" for i in range(self.num_qubits):\n", | |
" # Permute the superposition state\n", | |
" angle = 0 if i == 0 else np.pi * (i / (self.num_qubits - 1))\n", | |
" benchmark.u(angle, angle, angle, i)\n", | |
" self.gate = benchmark.copy()\n", | |
" for i in range(self.num_qubits - 1):\n", | |
" benchmark.cx(i, i + 1)\n", | |
" return benchmark & benchmark.inverse()\n", | |
"\n", | |
" def _run_circuit(self, circuit: QuantumCircuit, shots: int) -> dict:\n", | |
" \"\"\"\n", | |
" Run the given quantum circuit on the backend.\n", | |
"\n", | |
" Parameters:\n", | |
" circuit: Quantum circuit to run.\n", | |
" shots: Number of shots to run the quantum circuit.\n", | |
"\n", | |
" Returns:\n", | |
" Counts of the quantum circuit results.\n", | |
" \"\"\"\n", | |
" compiled_circuit = transpile(\n", | |
" circuit, self.backend, optimization_level=self.OPTIMIZATION_LEVEL\n", | |
" )\n", | |
" compiled_circuit.measure_all()\n", | |
" result = self.backend.run(compiled_circuit, shots=shots).result()\n", | |
" return result.get_counts()\n", | |
"\n", | |
" @staticmethod\n", | |
" def _calculate_result(counts: dict, qubits: int) -> float:\n", | |
" \"\"\"\n", | |
" Calculate the result from the given counts.\n", | |
"\n", | |
" Parameters:\n", | |
" counts: Counts of the quantum circuit results.\n", | |
" qubits: Number of qubits in the quantum circuit.\n", | |
"\n", | |
" Returns:\n", | |
" Result.\n", | |
" \"\"\"\n", | |
" total_counts = sum(counts.values())\n", | |
" correct_counts = counts.get(\"0\" * len(set(counts.keys()).pop()), 0)\n", | |
" return qubits * correct_counts / total_counts" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "2ee77bb1-0588-40ad-a27d-1ec0b36b5844", | |
"metadata": {}, | |
"source": [ | |
"## Run Benchmark\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "e36cf32c-ef7e-4bbc-9c56-5ba7716a4079", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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| |
"text/plain": [ | |
"<Figure size 1374.44x451.5 with 1 Axes>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Create an instance of PermutedMirrorCircuit using the noisy simulator\n", | |
"benchmark = PermutedMirrorCircuit(num_qubits=5, repetitions=1)\n", | |
"\n", | |
"# Show the benchmark circuit\n", | |
"benchmark.circuit.draw(\"mpl\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "2454be09", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1600x320 with 5 Axes>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Plot the permutation angles\n", | |
"plot_bloch_multivector(Statevector.from_instruction(benchmark.gate))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "a8dc3cb2", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Result: 7 * 9496 / 10000 = 6.6472\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"qubits = 7\n", | |
"shots = 10000\n", | |
"\n", | |
"# Create an instance of PermutedMirrorCircuit using the noisy simulator\n", | |
"benchmark = PermutedMirrorCircuit(num_qubits=qubits)\n", | |
"\n", | |
"# Run the benchmark\n", | |
"result = benchmark(shots=shots)\n", | |
"\n", | |
"# Print the result\n", | |
"print(\n", | |
" f\"Result: {qubits} * {benchmark.counts.get(\"0\" * len(set(benchmark.counts.keys()).pop()), 0)} / {shots} = {result}\"\n", | |
")\n", | |
"\n", | |
"# Plot the counts of the benchmark\n", | |
"plot_histogram(benchmark.counts)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "da0ce242", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 100/100 [00:01<00:00, 69.80it/s]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 100/100 [00:01<00:00, 52.99it/s]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 100/100 [00:05<00:00, 19.19it/s]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 100/100 [00:07<00:00, 13.36it/s]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 100/100 [00:28<00:00, 3.53it/s]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def plot_results_over_shots(benchmark, max_shots: int, step: int):\n", | |
" \"\"\"\n", | |
" Plot the results as a function of the number of shots.\n", | |
"\n", | |
" Parameters:\n", | |
" max_shots: Maximum number of shots to test.\n", | |
" step: Step size to increment the number of shots.\n", | |
" \"\"\"\n", | |
" shots_list = range(step, max_shots + 1, step)\n", | |
" results = []\n", | |
"\n", | |
" for shots in tqdm(shots_list):\n", | |
" result = benchmark(shots=shots)\n", | |
" results.append(result)\n", | |
"\n", | |
" # Plotting the results\n", | |
" plt.figure(figsize=(8, 5))\n", | |
" plt.plot(shots_list, results, marker=\"o\", linestyle=\"-\", color=\"b\")\n", | |
" plt.xlabel(\"Number of Shots\")\n", | |
" plt.ylabel(\"Result\")\n", | |
" plt.title(f\"Result vs Number of Shots for {benchmark.num_qubits} Qubits\")\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"\n", | |
"# Visualize the results over the number of shots for different numbers of qubits\n", | |
"for qubits in range(2, 12, 2):\n", | |
" benchmark = PermutedMirrorCircuit(num_qubits=qubits)\n", | |
" plot_results_over_shots(benchmark, max_shots=5000, step=50)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "04c23fa5", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x500 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def plot_scaling_with_qubits(max_qubits: int, step: int = 1, shots: int = 10000):\n", | |
" \"\"\"\n", | |
" Measure the result and execution time as the number of qubits increases,\n", | |
" and plot the execution time on a log scale.\n", | |
"\n", | |
" Parameters:\n", | |
" max_qubits: Maximum number of qubits to test.\n", | |
" step: Step size for increasing the number of qubits.\n", | |
" shots: Number of shots to run for each test.\n", | |
" \"\"\"\n", | |
" qubits_list = range(2, max_qubits + 1, step) # Start from 2 qubits\n", | |
" gate_counts = []\n", | |
" execution_times = []\n", | |
"\n", | |
" for qubits in qubits_list:\n", | |
" benchmark = PermutedMirrorCircuit(num_qubits=qubits)\n", | |
"\n", | |
" # Measure execution time\n", | |
" start_time = time.time()\n", | |
" gate_count = sum(benchmark.circuit.count_ops().values())\n", | |
" benchmark(shots=shots)\n", | |
" execution_time = time.time() - start_time\n", | |
"\n", | |
" gate_counts.append(gate_count)\n", | |
" execution_times.append(execution_time)\n", | |
"\n", | |
" # Plotting results\n", | |
" plt.figure(figsize=(12, 5))\n", | |
"\n", | |
" plt.subplot(1, 2, 1)\n", | |
" plt.plot(qubits_list, gate_counts, marker=\"o\", linestyle=\"-\", color=\"b\")\n", | |
" plt.xlabel(\"Number of Qubits\")\n", | |
" plt.ylabel(\"Gate Counts\")\n", | |
" plt.title(\"Gate Counts vs Number of Qubits\")\n", | |
" plt.grid(True)\n", | |
"\n", | |
" # Plotting execution times on a logarithmic scale\n", | |
" plt.subplot(1, 2, 2)\n", | |
" plt.plot(qubits_list, execution_times, marker=\"o\", linestyle=\"-\", color=\"r\")\n", | |
" plt.yscale(\"log\")\n", | |
" plt.xlabel(\"Number of Qubits\")\n", | |
" plt.ylabel(\"Execution Time (s)\")\n", | |
" plt.title(\"Execution Time vs Number of Qubits (Log Scale)\")\n", | |
" plt.grid(True, which=\"both\", ls=\"--\")\n", | |
"\n", | |
" plt.tight_layout()\n", | |
" plt.show()\n", | |
"\n", | |
"\n", | |
"# Plot the result and execution time as the number of qubits increases\n", | |
"plot_scaling_with_qubits(max_qubits=11, step=1, shots=10000) # 4(n) - 2 gates" | |
] | |
} | |
], | |
"metadata": { | |
"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": "3.12.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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