{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Automatically find cuts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1: Map\n", "\n", "#### Create a circuit and observables" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from qiskit.circuit.random import random_circuit\n", "from qiskit.quantum_info import SparsePauliOp\n", "\n", "circuit = random_circuit(7, 6, max_operands=2, seed=1242)\n", "observable = SparsePauliOp([\"ZIIIIII\", \"IIIZIII\", \"IIIIIIZ\"])\n", "\n", "\n", "circuit.draw(\"mpl\", scale=0.8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2: Optimize\n", "\n", "#### Find cut locations, given a maximum of 4 qubits per subcircuit. This circuit can be separated in two by making a single wire cut and cutting one `CRZGate`" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found solution using 2 cuts with a sampling overhead of 127.06026169907257.\n", "Lowest cost solution found: True.\n", "Wire Cut at circuit instruction index 19\n", "Gate Cut at circuit instruction index 28\n" ] }, { "data": { "image/png": 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", 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" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_cutting.automated_cut_finding import (\n", " find_cuts,\n", " OptimizationParameters,\n", " DeviceConstraints,\n", ")\n", "\n", "# Specify settings for the cut-finding optimizer\n", "optimization_settings = OptimizationParameters(seed=111)\n", "\n", "# Specify the size of the QPUs available\n", "device_constraints = DeviceConstraints(qubits_per_subcircuit=4)\n", "\n", "cut_circuit, metadata = find_cuts(circuit, optimization_settings, device_constraints)\n", "print(\n", " f'Found solution using {len(metadata[\"cuts\"])} cuts with a sampling '\n", " f'overhead of {metadata[\"sampling_overhead\"]}.\\n'\n", " f'Lowest cost solution found: {metadata[\"minimum_reached\"]}.'\n", ")\n", "for cut in metadata[\"cuts\"]:\n", " print(f\"{cut[0]} at circuit instruction index {cut[1]}\")\n", "cut_circuit.draw(\"mpl\", scale=0.8, fold=-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Add ancillas for wire cuts and expand the observables to account for ancilla qubits" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_cutting import cut_wires, expand_observables\n", "\n", "qc_w_ancilla = cut_wires(cut_circuit)\n", "observables_expanded = expand_observables(observable.paulis, circuit, qc_w_ancilla)\n", "qc_w_ancilla.draw(\"mpl\", scale=0.8, fold=-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Partition the circuit and observables into subcircuits and subobservables. Calculate the sampling overhead incurred from cutting these gates and wires." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sampling overhead: 127.06026169907257\n" ] } ], "source": [ "from qiskit_addon_cutting import partition_problem\n", "\n", "partitioned_problem = partition_problem(\n", " circuit=qc_w_ancilla, observables=observables_expanded\n", ")\n", "subcircuits = partitioned_problem.subcircuits\n", "subobservables = partitioned_problem.subobservables\n", "print(\n", " f\"Sampling overhead: {np.prod([basis.overhead for basis in partitioned_problem.bases])}\"\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: PauliList(['IIII', 'IZII', 'IIIZ']),\n", " 1: PauliList(['ZIII', 'IIII', 'IIII'])}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subobservables" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subcircuits[0].draw(\"mpl\", style=\"iqp\", scale=0.8)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subcircuits[1].draw(\"mpl\", style=\"iqp\", scale=0.8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generate the experiments to run on the backend." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "96 total subexperiments to run on backend.\n" ] } ], "source": [ "from qiskit_addon_cutting import generate_cutting_experiments\n", "\n", "subexperiments, coefficients = generate_cutting_experiments(\n", " circuits=subcircuits, observables=subobservables, num_samples=1_000\n", ")\n", "print(\n", " f\"{len(subexperiments[0]) + len(subexperiments[1])} total subexperiments to run on backend.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Steps 3 and 4 of a [Qiskit pattern](https://docs.quantum.ibm.com/guides/intro-to-patterns) can then be performed as in the preceding tutorials." ] } ], "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 4 }