{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "742b5ac1-90c1-41c7-a941-e10392e1a932", "metadata": {}, "outputs": [], "source": [ "# This example is from:\n", "# https://quantum.cloud.ibm.com/docs/en/tutorials/spin-chain-vqe\n", "\n", "# Modified for use with Quantum Rings SDK" ] }, { "cell_type": "markdown", "id": "185e73b5-fa27-4a88-837e-83b3ae424b64", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "aed3de5e-4267-4273-9daa-9ec1d4de58e2", "metadata": {}, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", " \n", "from scipy.optimize import minimize\n", "from typing import Sequence\n", " \n", " \n", "from qiskit import QuantumCircuit\n", "from qiskit.quantum_info import SparsePauliOp\n", "from qiskit.primitives.base import BaseEstimatorV2\n", "from qiskit.circuit.library import XGate\n", "from qiskit.circuit.library import efficient_su2\n", "from qiskit.transpiler import PassManager\n", "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", "from qiskit.transpiler.passes.scheduling import (\n", " ALAPScheduleAnalysis,\n", " PadDynamicalDecoupling,\n", ")\n", " \n", "#from qiskit_ibm_runtime import QiskitRuntimeService\n", "#from qiskit_ibm_runtime import Session, Estimator\n", " \n", "#from qiskit_ibm_catalog import QiskitServerless, QiskitFunction\n", "\n", "from quantumrings.toolkit.qiskit import QrRuntimeService\n", "from quantumrings.toolkit.qiskit import QrEstimatorV2 as Estimator\n", "from quantumrings.toolkit.qiskit import QrSession as Session\n", "\n", "my_token = os.environ[\"QR_TOKEN\"]\n", "my_account = os.environ[\"QR_ACCOUNT\"]\n", "my_backend = \"scarlet_quantum_rings\"\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "e75ad0c0-f8b4-4a1b-8f28-bad5ca29de46", "metadata": {}, "outputs": [], "source": [ "def visualize_results(results):\n", " plt.plot(results[\"cost_history\"], lw=2)\n", " plt.xlabel(\"Iteration\")\n", " plt.ylabel(\"Energy\")\n", " plt.show()\n", " \n", " \n", "def build_callback(\n", " ansatz: QuantumCircuit,\n", " hamiltonian: SparsePauliOp,\n", " estimator: Estimator,\n", " callback_dict: dict,\n", "):\n", " def callback(current_vector):\n", " # Keep track of the number of iterations\n", " callback_dict[\"iters\"] += 1\n", " # Set the prev_vector to the latest one\n", " callback_dict[\"prev_vector\"] = current_vector\n", " # Compute the value of the cost function at the current vector\n", " current_cost = (\n", " estimator.run([(ansatz, hamiltonian, [current_vector])])\n", " .result()[0]\n", " .data.evs[0]\n", " )\n", " callback_dict[\"cost_history\"].append(current_cost)\n", " # Print to screen on single line\n", " print(\n", " \"Iters. done: {} [Current cost: {}]\".format(\n", " callback_dict[\"iters\"], current_cost\n", " ),\n", " end=\"\\r\",\n", " flush=True,\n", " )\n", " \n", " return callback" ] }, { "cell_type": "markdown", "id": "c0407d97-0059-48a2-9a3c-95ac5ef5a684", "metadata": {}, "source": [ "## Step 1: Map classical inputs to a quantum problem" ] }, { "cell_type": "code", "execution_count": 4, "id": "e482accc-5c32-43c8-a0b4-24197dad9fa7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "num_spins = 10\n", "ansatz = efficient_su2(num_qubits=num_spins, reps=3)\n", " \n", "# Remember to insert your token in the QiskitRuntimeService constructor\n", "#service = QiskitRuntimeService()\n", "#backend = service.least_busy(\n", "# operational=True, min_num_qubits=num_spins, simulator=False\n", "#)\n", "\n", "services = QrRuntimeService(name = my_account, token = my_token)\n", "backend = services.backend(name = my_backend)\n", " \n", "coupling = backend.target.build_coupling_map()\n", "reduced_coupling = coupling.reduce(list(range(num_spins)))\n", " \n", "edge_list = reduced_coupling.graph.edge_list()\n", "ham_list = []\n", " \n", "for edge in edge_list:\n", " ham_list.append((\"ZZ\", edge, 0.5))\n", " ham_list.append((\"YY\", edge, 0.5))\n", " ham_list.append((\"XX\", edge, 0.5))\n", " \n", "for qubit in reduced_coupling.physical_qubits:\n", " ham_list.append((\"Z\", [qubit], np.random.random() * 2 - 1))\n", " \n", "hamiltonian = SparsePauliOp.from_sparse_list(ham_list, num_qubits=num_spins)\n", " \n", "ansatz.draw(\"mpl\", style=\"iqp\")" ] }, { "cell_type": "markdown", "id": "96bae8b6-46e4-4030-98cf-90b7b0bd4514", "metadata": {}, "source": [ "## Step 2: Optimize problem for quantum hardware execution" ] }, { "cell_type": "code", "execution_count": 5, "id": "d3b51b68-7272-4144-beab-b139a730b7da", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target = backend.target\n", "pm = generate_preset_pass_manager(optimization_level=3, backend=backend)\n", "pm.scheduling = PassManager(\n", " [\n", " ALAPScheduleAnalysis(durations=target.durations()),\n", " PadDynamicalDecoupling(\n", " durations=target.durations(),\n", " dd_sequence=[XGate(), XGate()],\n", " pulse_alignment=target.pulse_alignment,\n", " ),\n", " ]\n", ")\n", "ansatz_ibm = pm.run(ansatz)\n", "observable_ibm = hamiltonian.apply_layout(ansatz_ibm.layout)\n", "ansatz_ibm.draw(\"mpl\", scale=0.6, style=\"iqp\", fold=-1, idle_wires=False)" ] }, { "cell_type": "markdown", "id": "9121cef9-1ee6-4309-9dbe-2fcbce0902af", "metadata": {}, "source": [ "## Step 3: Execute" ] }, { "cell_type": "code", "execution_count": 6, "id": "08416e3f-4081-4449-bdcd-073ad791dd5d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iters. done: 101 [Current cost: -5.696214881088376]]" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# SciPy minimizer routine\n", "def cost_func(\n", " params: Sequence,\n", " ansatz: QuantumCircuit,\n", " hamiltonian: SparsePauliOp,\n", " estimator: Estimator,\n", ") -> float:\n", " \"\"\"Ground state energy evaluation.\"\"\"\n", " return (\n", " estimator.run([(ansatz, hamiltonian, [params])])\n", " .result()[0]\n", " .data.evs[0]\n", " )\n", " \n", " \n", "num_params = ansatz_ibm.num_parameters\n", "params = 2 * np.pi * np.random.random(num_params)\n", " \n", "callback_dict = {\n", " \"prev_vector\": None,\n", " \"iters\": 0,\n", " \"cost_history\": [],\n", "}\n", " \n", "# Evaluate the problem on a QPU by using Qiskit IBM Runtime\n", "with Session(backend=backend) as session:\n", " estimator = Estimator(backend=backend)\n", " callback = build_callback(\n", " ansatz_ibm, observable_ibm, estimator, callback_dict\n", " )\n", " res = minimize(\n", " cost_func,\n", " x0=params,\n", " args=(ansatz_ibm, observable_ibm, estimator),\n", " callback=callback,\n", " method=\"cobyla\",\n", " options={\"maxiter\": 100},\n", " )\n", " \n", "visualize_results(callback_dict)" ] }, { "cell_type": "markdown", "id": "1d3fd40d-2d98-4ede-8e13-2470ef5752e2", "metadata": {}, "source": [ "## Step 4: Post-process and return result in desired classical format" ] }, { "cell_type": "code", "execution_count": 7, "id": "2881f03c-d0ec-400c-87dc-6d3dd992ab62", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimated ground state energy: -5.696214881088376\n" ] } ], "source": [ "print(f'Estimated ground state energy: {res[\"fun\"]}')" ] } ], "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }