{ "cells": [ { "cell_type": "markdown", "id": "61cc885f", "metadata": {}, "source": [ "# Compiling and simulating a 10-qubit Quantum Fourier Transform (QFT) algorithm\n", "\n", "In this notebook, we simulate a 10-qubit Quantum Fourier Transform (QFT) algorithm.\n", "The QFT algorithm is one of the most important quantum algorithms in quantum computing.\n", "It is, for instance, part of the Shor algorithm for integer factorization.\n", "The following code defines a 10-qubit QFT algorithm using CNOT and single qubit rotations and runs the simulation both at the gate level and at the pulse level." ] }, { "cell_type": "code", "execution_count": 1, "id": "a063b3d7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999558916298081" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from qutip import basis, fidelity\n", "from qutip_qip.device import LinearSpinChain\n", "from qutip_qip.algorithms import qft_gate_sequence\n", "\n", "num_qubits = 10\n", "# The QFT circuit\n", "qc = qft_gate_sequence(num_qubits, swapping=False, to_cnot=True)\n", "# Gate-level simulation\n", "state1 = qc.run(basis([2]*num_qubits, [0]*num_qubits))\n", "# Pulse-level simulation\n", "processor = LinearSpinChain(num_qubits)\n", "processor.load_circuit(qc)\n", "state2 = processor.run_state(basis([2]*num_qubits, [0]*num_qubits)).states[-1]\n", "fidelity(state1, state2)" ] }, { "cell_type": "markdown", "id": "ceb2d8ef", "metadata": {}, "source": [ "We plot the compiled pulses in the cell below.\n", "The pulses plotted implement the QFT algorithm represented in the native gates of the spin chain model, with single-qubit gates marked by rotations over the $x$- and $z$-axes and the iSWAP gate implemented through the spin-spin exchange interaction, marked by $g_i$.\n", "While the sign for single-qubit drive denotes the phase of the control pulse, the negative sign in the coupling strengths $g_i$ is only a result of the convention used in the definition of the interaction, defined in \\cref{eq:ham spin chain}." ] }, { "cell_type": "code", "execution_count": 2, "id": "f3c70344", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def get_control_latex(model):\n", " \"\"\"\n", " Get the labels for each Hamiltonian.\n", " It is used in the method method :meth:`.Processor.plot_pulses`.\n", " It is a 2-d nested list, in the plot,\n", " a different color will be used for each sublist.\n", " \"\"\"\n", " num_qubits = model.num_qubits\n", " num_coupling = model._get_num_coupling()\n", " return [\n", " {f\"sx{m}\": r\"$\\sigma_x^{}$\".format(m) for m in range(num_qubits)},\n", " {f\"sz{m}\": r\"$\\sigma_z^{}$\".format(m) for m in range(num_qubits)},\n", " {\n", " f\"g{m}\": r\"$g_{}$\".format(m) for m in range(num_coupling)\n", " },\n", " ]\n", "\n", "fig, axes = processor.plot_pulses(figsize=(5, 7), dpi=150,\n", " pulse_labels=get_control_latex(processor.model))\n", "axes[-1].set_xlabel(\"$t$\");" ] }, { "cell_type": "code", "execution_count": 3, "id": "f86f8188", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "qutip-qip version: 0.2.0\n" ] }, { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.6.3
Numpy1.22.2
SciPy1.8.0
matplotlib3.5.1
Cython0.29.27
Number of CPUs12
BLAS InfoOPENBLAS
IPython8.0.1
Python3.9.0 | packaged by conda-forge | (default, Nov 26 2020, 07:53:15) [MSC v.1916 64 bit (AMD64)]
OSnt [win32]
Sun Feb 13 12:23:52 2022 W. Europe Standard Time
" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import qutip_qip\n", "print(\"qutip-qip version:\", qutip_qip.version.version)\n", "from qutip.ipynbtools import version_table\n", "version_table()" ] } ], "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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }