{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quickstart Guide\n", "\n", "This tutorial provides a quick introduction to using QCMet for quantum computing benchmarks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running a T1 Measurement\n", "To run a benchmark in QCMet, two main things are required:\n", "1. A benchmark, defining a specific set of circuits to be run on a device together with the analysis instructions\n", "2. An interface to a device which is benchmarked.\n", "\n", "Here we consider a simple T1 measurement. T1 is the relaxation time of a qubit - the time it takes for an excited state to decay to the ground state.\n", "\n", "The easiest way to run the T1 benchmark on a device (here an emulator with noise) is as follows:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2025-12-23T12:52:19.956165Z", "start_time": "2025-12-23T12:52:18.220132Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'success': True, 'T1 (t/t_[1q_gate])': np.float64(5041.365580956495), 'fit': {'popt': array([1.00130568e+00, 5.04136558e+03]), 'pcov': array([[ 1.28255647e-04, -1.23537721e+00],\n", " [-1.23537721e+00, 2.11534629e+04]])}}\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qcmet import T1\n", "from qcmet.devices import NoisySimulator\n", "device = NoisySimulator()\n", "t1_benchmark = T1()\n", "result = t1_benchmark(device=device, num_shots=1000, max_circs_per_job=None)\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Workflow Summary\n", "\n", "Under the hood, benchmarking in QCMet follows the same pattern:\n", "\n", "1. **Create a device** (simulator or real hardware)\n", "2. **Initialize the benchmark** with parameters\n", "3. **Generate circuits** using `generate_circuits()`\n", "4. **Run on device** using `run(device, num_shots, max_circs_per_job)`\n", "5. **Analyze results** using `analyze()` and `plot()`\n", "\n", "This consistent interface makes it easy to swap between different benchmarks and devices.\n", "\n", "Steps 3., 4., and 5. are bundled together via the __call__ function of the benchmark, allowing the above workflow.\n", "\n", "The extended version of the above looks as follows (giving more fine-grained control over the workflow):" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2025-12-23T12:52:21.608140Z", "start_time": "2025-12-23T12:52:19.963739Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'success': True, 'T1 (t/t_[1q_gate])': np.float64(5037.61158501775), 'fit': {'popt': array([9.99471683e-01, 5.03761159e+03]), 'pcov': array([[ 1.47857787e-04, -1.42490332e+00],\n", " [-1.42490332e+00, 2.44154351e+04]])}}\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "device = NoisySimulator()\n", "t1_benchmark = T1()\n", "t1_benchmark.generate_circuits()\n", "t1_benchmark.run(device, num_shots=1000, max_circs_per_job=None)\n", "t1_benchmark.analyze()\n", "\n", "print(t1_benchmark.result)\n", "\n", "# Optional plotting\n", "t1_benchmark.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running a Collection of (Different) Benchmarks\n", "\n", "Using `BenchmarkCollection`, (different) benchmarks can be conveniently collected together and run in one go. The workflow for `BenchmarkCollection` is the same." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2025-12-23T13:12:02.420732Z", "start_time": "2025-12-23T13:11:46.012764Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'T1_qubit0': {'success': True, 'T1 (t/t_[1q_gate])': np.float64(5135.319546014731), 'fit': {'popt': array([1.00406397e+00, 5.13531955e+03]), 'pcov': array([[ 4.63538808e-05, -4.60218624e-01],\n", " [-4.60218624e-01, 8.08647860e+03]])}}, 'T1_qubit1': {'success': True, 'T1 (t/t_[1q_gate])': np.float64(4929.84554576347), 'fit': {'popt': array([1.00404889e+00, 4.92984555e+03]), 'pcov': array([[ 9.65397941e-05, -8.91066505e-01],\n", " [-8.91066505e-01, 1.47018583e+04]])}}, 'T2_qubit0': {'success': True, 'T2 (t/t_[1q_gate])': np.float64(3006.4763888036273), 'method': 'hahn', 'fit': {'popt': array([2.45147572e-01, 3.00647639e+03, 7.56375161e-01]), 'pcov': array([[ 6.76609479e-03, 1.14795553e+02, -6.96666209e-03],\n", " [ 1.14795553e+02, 1.97505744e+06, -1.18662514e+02],\n", " [-6.96666209e-03, -1.18662514e+02, 7.18292297e-03]])}}, 'T2_qubit1': {'success': True, 'T2 (t/t_[1q_gate])': np.float64(1781145.3340818333), 'method': 'hahn', 'fit': {'popt': array([ 1.14228013e+02, 1.78114533e+06, -1.13228696e+02]), 'pcov': array([[ 2.20654162e+09, 3.44247690e+13, -2.20654182e+09],\n", " [ 3.44247690e+13, 5.37068837e+17, -3.44247721e+13],\n", " [-2.20654182e+09, -3.44247721e+13, 2.20654202e+09]])}}, 'RB_qubit01': {'qubits': 2, 'alpha': 0.9997803691805811, 'AverageGateError': '0.00016', 'fit_result': {'popt': array([9.99780369e-01, 1.00000000e+00, 2.34461082e-04]), 'pcov': array([[ 1.36693837e-08, 5.59801336e-05, -5.60568878e-05],\n", " [ 5.59801336e-05, 2.29509200e-01, -2.29812914e-01],\n", " [-5.60568878e-05, -2.29812914e-01, 2.30118480e-01]])}}, 'RB_qubit23': {'qubits': 2, 'alpha': 0.999659271964362, 'AverageGateError': '0.00026', 'fit_result': {'popt': array([0.99965927, 0.6618 , 0.33802598]), 'pcov': array([[ 9.40928673e-09, 1.54997037e-05, -1.55508867e-05],\n", " [ 1.54997037e-05, 2.56083545e-02, -2.56879253e-02],\n", " [-1.55508867e-05, -2.56879253e-02, 2.57687010e-02]])}}}\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qcmet import BenchmarkCollection, T2, CliffordRB\n", "\n", "t1_benchmark_1 = T1(qubit_index=0)\n", "t1_benchmark_2 = T1(qubit_index=1)\n", "t2_benchmark_1 = T2(qubit_index=0)\n", "t2_benchmark_2 = T2(qubit_index=1)\n", "rb_benchmark_1 = CliffordRB([2 ** n for n in range(1, 11)], qubits=[0, 1])\n", "rb_benchmark_2 = CliffordRB([2 ** n for n in range(1, 11)], qubits=[2, 3])\n", "\n", "collection = BenchmarkCollection({\"T1_qubit0\": t1_benchmark_1, \"T1_qubit1\": t1_benchmark_2,\n", " \"T2_qubit0\": t2_benchmark_1, \"T2_qubit1\": t2_benchmark_2,\n", " \"RB_qubit01\": rb_benchmark_1, \"RB_qubit23\": rb_benchmark_2})\n", "\n", "# Using the same workflow\n", "collection.generate_circuits()\n", "\n", "\"\"\"\n", "Now there are two different ways to run the circuits\n", "\n", "When passing in a list of shot number for num_shots, all the circuits are submitted\n", "to the device one after the other and each benchmark is run separately with the\n", "corresponding number of shots:\n", "\"\"\"\n", "# collection.run(device, num_shots=[1000 for _ in range(6)])\n", "\n", "\"\"\"\n", "When passing in a single number for num_shots, all circuits are merged and submitted\n", "as one batch\n", "\"\"\"\n", "collection.run(device, num_shots=1000)\n", "\n", "collection.analyze()\n", "collection.plot()\n", "\n", "# Or directly use the call function\n", "# collection(device, num_shots=1000)\n", "\n", "print(collection.result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implemented benchmarks\n", "\n", "QCMet ships various benchmarking protocols for (digital) quantum computers:\n", "\n", "### Qubit Quality Metrics\n", "- **T1**: Relaxation time (energy decay)\n", "- **T2**: Relaxation time (dephasing)\n", "- **Idle Qubit Oscillation Frequency**: Non-Markovian noise induced coherence revivals\n", "\n", "### Gate Execution Quality Metrics\n", "- **Clifford RB**: Average gate error rate\n", "- **Interleaved RB**: Specific gate error rate\n", "- **Over/Under Rotation**: Systematic rotation errors\n", "- **Cycle Benchmarking**: Average fidelity of a repeated layer\n", "- **Gate Set Tomography**: Full characterization of process fidelity\n", "\n", "### Circuit Execution Quality Metrics\n", "- **Quantum Volume**: Holistic circuit complexity measure\n", "- **Mirrored Circuits**: Target circuit performance benchmark\n", "- **Upper Bound on Variation Distance**: Quantum accreditation protocol\n", "\n", "### Well-studied Task Execution Quality Metrics\n", "- **QFT**: Quantum Fourier Transform fidelity\n", "- **VQE**: Energy expectation value reproducibility\n", "- **QScore**: Metric based on using QAOA for a MaxCut problem \n", "- **Hamiltonian Simulation**: Ability to perform Hamiltonian dynamics\n" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 4 }