diff --git a/docs/source/example_grover.ipynb b/docs/source/example_grover.ipynb index 91e1160..691beca 100644 --- a/docs/source/example_grover.ipynb +++ b/docs/source/example_grover.ipynb @@ -118,7 +118,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] diff --git a/docs/source/example_grover_sat.ipynb b/docs/source/example_grover_sat.ipynb new file mode 100644 index 0000000..e359105 --- /dev/null +++ b/docs/source/example_grover_sat.ipynb @@ -0,0 +1,127 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Grover search: SAT problem\n", + "\n", + "In this notebook I'm going to show how to use qlasskit for solving a SAT problem. A SAT problem, or Boolean satisfiability problem, asks whether a given Boolean formula can be satisfied by assigning true or false values to its variables.\n", + "\n", + "We define our SAT problem writing an oracle function that receive a list of 5 boolean variables, and return the logical AND between all the elements (negating those whose index is even)." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qlasskit import qlassf, Qlist, Qint, Qint4\n", + "\n", + "\n", + "@qlassf\n", + "def sat(b_list: Qlist[bool, 5]) -> bool:\n", + " r = True\n", + " i = 0\n", + " for b in b_list:\n", + " r = r and (b if i % 2 == 0 else not b)\n", + " i += 1\n", + " return r\n", + "\n", + "sat.export(\"qiskit\").draw(\"mpl\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then we use Grover to search for input values leading to a `True` result from our SAT oracle:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "from qlasskit.algorithms import Grover\n", + "\n", + "q_algo = Grover(sat, True)\n", + "qc = q_algo.export(\"qiskit\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We use qiskit to run the simulation; as we expected from our simple problem, the solution is the list `[True, False, True, False, True]` where variable in even positions are negated." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qiskit import QuantumCircuit, transpile\n", + "from qiskit.visualization import plot_histogram\n", + "from qiskit_aer import AerSimulator\n", + "\n", + "qc.measure_all()\n", + "simulator = AerSimulator()\n", + "circ = transpile(qc, simulator)\n", + "result = simulator.run(circ).result()\n", + "counts = result.get_counts(circ)\n", + "\n", + "counts_readable = q_algo.decode_counts(counts, discard_lower=15)\n", + "plot_histogram(counts_readable)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "qlasskit_310-env", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/source/index.rst b/docs/source/index.rst index 9f7bc3a..cd50683 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -53,6 +53,7 @@ quantum annealers, ising machines, simulators, etc. :caption: Examples example_grover.ipynb + example_grover_sat.ipynb example_grover_subset.ipynb example_grover_hash.ipynb example_grover_sudoku.ipynb