{ "cells": [ { "cell_type": "markdown", "id": "c64fe6ea-9681-414b-9499-c1be75d1a8a1", "metadata": {}, "source": [ "# Statevector Estimator Example\n", "## Modified for Quantum Rings toolkit for Qiskit 2.x\n", "#### See Here: https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.primitives.StatevectorEstimator" ] }, { "cell_type": "code", "execution_count": 2, "id": "33c67ef3-cd52-43ee-81ee-50ddf49c912a", "metadata": {}, "outputs": [], "source": [ "#\n", "# Setup your account\n", "# You can also save your account locally using the class method QrRuntimeService.save_account(...) and\n", "# invoke the QrRuntimeService class constructor without any arguments.\n", "#\n", "import os\n", "my_token = os.environ[\"QR_TOKEN\"]\n", "my_name = os.environ[\"QR_ACCOUNT\"]\n", "\n", "#\n", "# Set the backend of your choice, depending upon the task and your hardware configuration.\n", "# See SDK documentation for additional help.\n", "#\n", "\n", "my_backend = \"scarlet_quantum_rings\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "b325c8d0-4d04-4330-a8af-b9c8d93f0fb1", "metadata": {}, "outputs": [], "source": [ "# Import from Quantum Rings Toolkit\n", "from quantumrings.toolkit.qiskit import QrRuntimeService\n", "\n", "# Acquire Quantum Rings backend\n", "qr_services = QrRuntimeService(name = my_name, token = my_token)\n", "qr_backend = qr_services.backend(name = my_backend, precision = \"single\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "e1276295-aabb-42ca-b30b-e42f5f694150", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qiskit.circuit import Parameter, QuantumCircuit\n", "#from qiskit.primitives import StatevectorEstimator\n", "from qiskit.quantum_info import Pauli, SparsePauliOp\n", "\n", "from quantumrings.toolkit.qiskit import QrStatevectorEstimator\n", " \n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", " \n", "# Define a circuit with two parameters.\n", "circuit = QuantumCircuit(2)\n", "circuit.h(0)\n", "circuit.cx(0, 1)\n", "circuit.ry(Parameter(\"a\"), 0)\n", "circuit.rz(Parameter(\"b\"), 0)\n", "circuit.cx(0, 1)\n", "circuit.h(0)\n", " \n", "# Define a sweep over parameter values, where the second axis is over\n", "# the two parameters in the circuit.\n", "params = np.vstack([\n", " np.linspace(-np.pi, np.pi, 100),\n", " np.linspace(-4 * np.pi, 4 * np.pi, 100)\n", "]).T\n", " \n", "# Define three observables. Many formats are supported here including\n", "# classes such as qiskit.quantum_info.SparsePauliOp. The inner length-1\n", "# lists cause this array of observables to have shape (3, 1), rather\n", "# than shape (3,) if they were omitted.\n", "observables = [\n", " [SparsePauliOp([\"XX\", \"IY\"], [0.5, 0.5])],\n", " [Pauli(\"XX\")],\n", " [Pauli(\"IY\")]\n", "]\n", " \n", "# Instantiate a new statevector simulation based estimator object.\n", "estimator = QrStatevectorEstimator(backend = qr_backend)\n", " \n", "# Estimate the expectation value for all 300 combinations of\n", "# observables and parameter values, where the pub result will have\n", "# shape (3, 100). This shape is due to our array of parameter\n", "# bindings having shape (100,), combined with our array of observables\n", "# having shape (3, 1)\n", "pub = (circuit, observables, params)\n", "job = estimator.run([pub])\n", " \n", "# Extract the result for the 0th pub (this example only has one pub).\n", "result = job.result()[0]\n", " \n", "# Error-bar information is also available, but the error is 0\n", "# for this StatevectorEstimator.\n", "result.data.stds\n", " \n", "# Pull out the array-based expectation value estimate data from the\n", "# result and plot a trace for each observable.\n", "for idx, pauli in enumerate(observables):\n", " plt.plot(result.data.evs[idx], label=pauli)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "id": "e7e62f5d-0906-4ea4-adb1-d2e91a87d2f4", "metadata": {}, "outputs": [], "source": [] } ], "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 }