{ "cells": [ { "cell_type": "markdown", "id": "cfc65c11-8a85-40a8-b8c0-d2874a586549", "metadata": {}, "source": [ "# Tutorial_1" ] }, { "cell_type": "code", "execution_count": 1, "id": "6918bf20-6a07-4122-bfc3-a6db87c57510", "metadata": {}, "outputs": [], "source": [ "## -------------------------------------------------------------------------\n", "## REFERENCE NOTES for HOW WE MIGHT IMPORT FROM A QISKIT ADDON PACKAGE\n", "## -------------------------------------------------------------------------\n", "# Delete this section, once we have our package built and released,\n", "# or as we finalize this tutorial, or possibly delete this tutorial\n", "#\n", "# We could `import` similarly as is done for the sqd addon\n", "# from qiskit_addon_sqd.counts import generate_counts_uniform\n", "# from qiskit_addon_sqd.counts import counts_to_arrays\n", "\n", "# Thus, an `import` for our QCBM package might look like:\n", "# from qiskit_addon_qcbm.x import qcbm\n", "\n", "# or possibly like this, where we make fcns visible in the outermost __init__.py:\n", "#\n", "# from qiskit_addon_qcbm import (\n", "# fcn_1_create_QCBM,\n", "# fcn_2_create_QCBM_Experiment,\n", "# fcn_3_run_QCBM_Experiment,\n", "# fcn_4_post_process_QCBM_Experiment_Results,\n", "#)\n", "\n", "# Repos for existing qiskit addons (not a comprehensive list):\n", "# https://github.com/Qiskit/qiskit-addon-sqd\n", "# https://github.com/Qiskit/qiskit-addon-cutting\n", "\n", "# Code Usage Examples, for qiskit_addon_sqd and qiskit_addon_cutting\n", "# https://quantum.cloud.ibm.com/docs/en/guides/qiskit-addons-sqd-get-started\n", "# https://quantum.cloud.ibm.com/docs/en/guides/qiskit-addons-cutting-gates\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "4f435d72-5de3-48ec-ad09-1aa7c8018249", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C:\\Users\\nat\\repos\\Qiskit-QCBMs\n", "\n", "['C:\\\\Users\\\\nat\\\\miniconda3\\\\envs\\\\qamp25\\\\python312.zip', 'C:\\\\Users\\\\nat\\\\miniconda3\\\\envs\\\\qamp25\\\\DLLs', 'C:\\\\Users\\\\nat\\\\miniconda3\\\\envs\\\\qamp25\\\\Lib', 'C:\\\\Users\\\\nat\\\\miniconda3\\\\envs\\\\qamp25', '', 'C:\\\\Users\\\\nat\\\\AppData\\\\Roaming\\\\Python\\\\Python312\\\\site-packages', 'C:\\\\Users\\\\nat\\\\miniconda3\\\\envs\\\\qamp25\\\\Lib\\\\site-packages', 'C:\\\\Users\\\\nat\\\\repos\\\\Qiskit-QCBMs']\n", "\n", "8\n", "\n" ] } ], "source": [ "# -----------------------------------------------------------------------\n", "# UPDATE THE SYSTEM PATH in order to find our qiskit_addon_qcbm package\n", "# -----------------------------------------------------------------------\n", "# While the qiskit_addon_qcbm package is being developed, \n", "# we need to add the local root directory of the Qiskit-QCBMs repo to our system path,\n", "# when we import from a Jupyter Notebook not in that directory,\n", "# so that the qiskit_addon_qcbm module can be found\n", "# This directory is something like:\n", "# C:\\\\Users\\\\repos\\Qiskit-QCBMs\n", "\n", "# ----------------------------------------------------------------------\n", "# NOTE: THIS ONLY NEEDS TO BE DONE ONCE\n", "#-----------------------------------------------------------------------\n", "import os, sys\n", "\n", "# This assumes that this tutorial is located somewhere in the Qiskit-QCBMs repo dir, at least locally\n", "current_dir = os.getcwd()\n", "qcbm_pkg_dir = current_dir.split(\"\\\\docs\\\\tutorials\")[0]\n", "\n", "if qcbm_pkg_dir not in sys.path:\n", " sys.path.append(qcbm_pkg_dir)\n", "\n", "print(qcbm_pkg_dir)\n", "print()\n", "print(sys.path)\n", "print()\n", "print(len(sys.path))\n", "print()" ] }, { "cell_type": "code", "execution_count": 2, "id": "6003dd05-8b60-4059-a7a5-54cbf98ef894", "metadata": {}, "outputs": [], "source": [ "# -------------------------------------------------------------------\n", "# IMPORT the qiskit_addon_qcbm package\n", "# -------------------------------------------------------------------\n", "from qiskit_addon_qcbm.born_machine import QCBM\n", "from qiskit_addon_qcbm.datasets import MixtureGaussianData as mgd\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "id": "70b519a7-5c13-481a-b35b-16738aa0cf59", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "data type: \n", "sigmas: [1.0, 1.0]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_qubits = 3\n", "x_max = 2**n_qubits\n", "x_input = np.arange(x_max)\n", "mus = [(2 / 7) * x_max, (5 / 7) * x_max]\n", "sigmas = [x_max / 8] * 2\n", "data = mgd.mixture_gaussian_pdf(x_input, mus, sigmas)\n", "print(\"data type:\", type(data))\n", "print(\"sigmas:\", sigmas)\n", "plt.plot(data, label=r\"$\\pi(x)$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "b1da1c7d-376c-4784-880b-10335681eef0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The QCBM has: \n", " 3 qubits,\n", " 1 layers,\n", " 12 parameters,\n", " depth of 7, and\n", " data of length 8.\n" ] } ], "source": [ "qcbm = QCBM(num_qubits=n_qubits, num_layers=1, data=data)\n", "qcbm.print()" ] }, { "cell_type": "code", "execution_count": 6, "id": "aac5e02c-07df-4e94-99e6-70dcb5177b2e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qcbm.draw()" ] }, { "cell_type": "code", "execution_count": 7, "id": "9b74ff27-dd3a-4ed5-b1ad-3fa6ad0a90b4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 8\n" ] } ], "source": [ "print(type(data), len(data))" ] }, { "cell_type": "code", "execution_count": 8, "id": "4c25d74f-0154-49bb-b8fd-7602ee1e63bc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sum of counts: 24\n", "num shots: 24\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Iters. done: 0 [Current cost: 0.07496958189185012]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\nat\\miniconda3\\envs\\qamp25\\Lib\\site-packages\\scipy\\_lib\\pyprima\\common\\preproc.py:68: UserWarning: COBYLA: Invalid MAXFUN; it should be at least num_vars + 2; it is set to 14\n", " warn(f'{solver}: Invalid MAXFUN; it should be at least {min_maxfun_str}; it is set to {maxfun}')\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iters. done: 1 [Current cost: 0.09618142913635097]\n", "Iters. done: 2 [Current cost: 0.05889958971310486]\n", "Iters. done: 3 [Current cost: 0.05482365451768362]\n", "Iters. done: 4 [Current cost: 0.057396035124745205]\n", "Iters. done: 5 [Current cost: 0.041539283371914995]\n", "Iters. done: 6 [Current cost: 0.03578533843532104]\n", "Iters. done: 7 [Current cost: 0.0847392894924827]\n", "Iters. done: 8 [Current cost: 0.06791706419722779]\n", "Iters. done: 9 [Current cost: 0.09708100181622971]\n", "Iters. done: 10 [Current cost: 0.02965585677610158]\n", "Iters. done: 11 [Current cost: 0.016895623247161554]\n", "Iters. done: 12 [Current cost: 0.05144332887435161]\n", "Iters. done: 13 [Current cost: 0.030960247393137953]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "{'divergence': [],\n", " 'iterations': 14,\n", " 'loss': [np.float64(0.07496958189185012),\n", " np.float64(0.09618142913635097),\n", " np.float64(0.05889958971310486),\n", " np.float64(0.05482365451768362),\n", " np.float64(0.057396035124745205),\n", " np.float64(0.041539283371914995),\n", " np.float64(0.03578533843532104),\n", " np.float64(0.0847392894924827),\n", " np.float64(0.06791706419722779),\n", " np.float64(0.09708100181622971),\n", " np.float64(0.02965585677610158),\n", " np.float64(0.016895623247161554),\n", " np.float64(0.05144332887435161),\n", " np.float64(0.030960247393137953)],\n", " 'num_shots': 24,\n", " 'prev_params': array([4.30489245, 6.35403407, 4.2296134 , 5.78266569, 1.79449234,\n", " 6.18522428, 1.58087008, 1.66849787, 3.32776036, 3.40242295,\n", " 3.4504981 , 1.21984671]),\n", " 'counts_dict': {'010': 5, '011': 2, '110': 4, '001': 7, '101': 5, '100': 1}}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qcbm.train(data=data, loss_fcn=None, num_iterations=5, num_shots=24)" ] }, { "cell_type": "code", "execution_count": 9, "id": "c2f0002c-f0ed-46b7-871b-6642f173a957", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "888" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = {'a': 300, 'b': 444, 'c':144}\n", "sum(d.values())" ] }, { "cell_type": "code", "execution_count": null, "id": "2524f153-4673-46fe-ab92-d5de58e96595", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "qamp25", "language": "python", "name": "qamp25" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }