{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Problem Types" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quantum Launcher provides definitions and conversions to different models for a set of common combinatorial problems." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from quantum_launcher.problems import MaxCut,EC,QATM,JSSP,TSP, GraphColoring\n", "import os" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Max Cut" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mc = MaxCut.from_preset('default')\n", "mc.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exact Cover" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ec = EC.from_preset('toy')\n", "ec.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Travelling Salesman" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tsp = TSP.from_preset('default')\n", "tsp.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Graph Coloring" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 800x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gc = GraphColoring.from_preset('small')\n", "gc.visualize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Air Traffic Management" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collisions\n", "[[1. 0. 1. 0. 0. 0.]\n", " [0. 1. 0. 0. 0. 1.]\n", " [1. 0. 1. 0. 1. 0.]\n", " [0. 0. 0. 1. 0. 0.]\n", " [0. 0. 1. 0. 1. 0.]\n", " [0. 1. 0. 0. 0. 1.]]\n", "\n", "Aircraft manouvers\n", " manouver aircraft\n", "0 A0 A0\n", "1 A1 A1\n", "2 A2 A2\n", "3 A0_a=10 A0\n", "4 A1_a=10 A1\n", "5 A2_a=10 A2\n" ] } ], "source": [ "filepath = os.path.abspath('./../../data/qatm/')\n", "atm = QATM.from_file(filepath,'RCP_3.txt')\n", "\n", "print(\"Collisions\")\n", "print(atm.instance['cm'])\n", "print()\n", "print(\"Aircraft manouvers\")\n", "print(atm.instance['aircrafts'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Job Shop Scheduling" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'cupcakes': [('mixer', 2), ('oven', 1)],\n", " 'smoothie': [('mixer', 1)],\n", " 'lasagna': [('oven', 2)]}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jssp = JSSP.from_preset('toy',onehot=\"quadratic\")\n", "jssp.instance" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 2 }