Create QFT.ipynb

Author: HROlive

QFT.ipynb

@@ -0,0 +1,101 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "79c79c89-dc45-4afa-b538-ff145fd4bb8f",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import cirq\n",
+ "from cirq.contrib.svg import SVGCircuit\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "qc = cirq.Circuit()\n",
+ "q0,q1,q2,q3 = cirq.LineQubit.range(4)\n",
+ "\n",
+ "qc.append(cirq.X(q0))\n",
+ "qc.append(cirq.X(q2))\n",
+ "\n",
+ "# -------------------- Direct QFT ----------------------\n",
+ "#qc.append(cirq.qft(q0,q1,q2,q3,without_reverse=True))\n",
+ "\n",
+ "qc.append(cirq.H(q0))\n",
+ "qc.append(cirq.CZ(q0,q1)**(1/2))\n",
+ "qc.append(cirq.CZ(q0,q2)**(1/4))\n",
+ "qc.append(cirq.CZ(q0,q3)**(1/8))\n",
+ "\n",
+ "qc.append(cirq.H(q1))\n",
+ "qc.append(cirq.CZ(q1,q2)**(1/2))\n",
+ "qc.append(cirq.CZ(q1,q3)**(1/4))\n",
+ "\n",
+ "qc.append(cirq.H(q2))\n",
+ "qc.append(cirq.CZ(q2,q3)**(1/2))\n",
+ "\n",
+ "qc.append(cirq.H(q3))\n",
+ "# -----------------------------------------------------\n",
+ "\n",
+ "# --------------------- Inverse QFT -------------------\n",
+ "#qc.append(cirq.qft(q0,q1,q2,q3,inverse=True,without_reverse=True))\n",
+ "\n",
+ "qc.append(cirq.H(q3))\n",
+ "\n",
+ "qc.append(cirq.CZ(q2,q3)**(-1/2))\n",
+ "qc.append(cirq.H(q2))\n",
+ "\n",
+ "qc.append(cirq.CZ(q1,q3)**(-1/4))\n",
+ "qc.append(cirq.CZ(q1,q2)**(-1/2))\n",
+ "qc.append(cirq.H(q1))\n",
+ "\n",
+ "qc.append(cirq.CZ(q0,q3)**(-1/8))\n",
+ "qc.append(cirq.CZ(q0,q2)**(-1/4))\n",
+ "qc.append(cirq.CZ(q0,q1)**(-1/2))\n",
+ "qc.append(cirq.H(q0))\n",
+ "# -----------------------------------------------------\n",
+ "\n",
+ "qc.append(cirq.measure(q3,q2,q1,q0))\n",
+ "\n",
+ "print()\n",
+ "print(qc)\n",
+ "print()\n",
+ "\n",
+ "s = cirq.Simulator()\n",
+ "samples = s.run(qc, repetitions=1000)\n",
+ "\n",
+ "cirq.plot_state_histogram(samples, plt.subplot())\n",
+ "plt.show()\n",
+ "\n",
+ "SVGCircuit(qc)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "3b354ec9-a598-44ec-8c57-356dbc1aa8a6",
+ "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": "3.10.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}