{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Orca\n", "QLauncher is compatible with Orca Computing photonic computers and features algorithms based based on photonic computing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by defining a problem to be solved, we will use Exact Cover in this tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qlauncher.problems import EC\n", "\n", "pr = EC.from_preset(\"default\")\n", "pr.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Binary Bosonic Solver\n", "\n", "Binary Bosonic solver is a variational algorithm developed by ORCA Computing allowing their photonic computers to solve combinatorial problems. It works as follows: first we encode solutions to a given problem as a bitstring and declare how a cost of the solution should be calculated based on its bistring, we can also use the QUBO format for that. Next a parametrizable photonic circuit gets constructed and we sample bitstrings from it. Each bitstring then gets modified with bits being flipped with probabilities which are also parametrizable. Finally, bitstrings are evaluated in terms of solution quality and the corresponding gradient is calculated allowing us to optimize both the parameters of the circuit (beamsplitter angles) as well as bit flip probabilities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's initialize the BBS algorithm for use with QLauncher, there are couple of parameters we can set which will influence the process of training, such as number of iterations, learning rate of the beamsplitter angles or learning rate of the flip probabilities." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qlauncher.routines.orca import BBS\n", "\n", "alg = BBS(updates=800, learning_rate=1e-3, learning_rate_flip=1e-3, print_frequency=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to define the backend our algorithm will run on, we will use a local Orca simulator, but you can also connect to a real Orca computer if you have access to one" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qlauncher.routines.orca import OrcaBackend\n", "\n", "backend = OrcaBackend(\"local_simulator\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use QLauncher to launch BBS on the selected backend:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Update: 001 | Loss: 0.7850 | Best Cost: -1.5000\n", "Update: 400 | Loss: 0.5450 | Best Cost: -1.5000\n", "Update: 800 | Loss: 0.3550 | Best Cost: -1.5000\n" ] }, { "data": { "text/plain": [ "Result(bitstring=001000, energy=-1.5)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qlauncher.launcher import QLauncher\n", "\n", "launcher = QLauncher(pr, alg, backend)\n", "result = launcher.run()\n", "result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results corresponds to the following matching, since BBS is non-deterministic the result might be suboptimal:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pr.visualize(result.best_bitstring)" ] } ], "metadata": { "kernelspec": { "display_name": "launcher", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 2 }