{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GRAPE calculation of control fields for iSWAP implementation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Robert Johansson (robert@riken.jp)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import time\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "from qutip.control import *" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "T = 1\n", "times = np.linspace(0, T, 100)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "U = iswap()\n", "R = 50\n", "H_ops = [#tensor(sigmax(), identity(2)),\n", " #tensor(sigmay(), identity(2)),\n", " #tensor(sigmaz(), identity(2)),\n", " #tensor(identity(2), sigmax()),\n", " #tensor(identity(2), sigmay()),\n", " #tensor(identity(2), sigmaz()),\n", " tensor(sigmax(), sigmax()),\n", " tensor(sigmay(), sigmay()),\n", " tensor(sigmaz(), sigmaz())]\n", "\n", "H_labels = [#r'$u_{1x}$',\n", " #r'$u_{1y}$',\n", " #r'$u_{1z}$',\n", " #r'$u_{2x}$',\n", " #r'$u_{2y}$',\n", " #r'$u_{2z}$',\n", " r'$u_{xx}$',\n", " r'$u_{yy}$',\n", " r'$u_{zz}$',\n", " ]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "H0 = 0 * np.pi * (tensor(sigmaz(), identity(2)) + tensor(identity(2), sigmaz()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# GRAPE" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from qutip.control.grape import plot_grape_control_fields, _overlap, grape_unitary_adaptive, cy_grape_unitary" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "from qutip.ui.progressbar import TextProgressBar" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "u0 = np.array([np.random.rand(len(times)) * (2 * np.pi / T) * 0.01 for _ in range(len(H_ops))])\n", "\n", "u0 = [np.convolve(np.ones(10)/10, u0[idx, :], mode='same') for idx in range(len(H_ops))]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 2.36s. Est. time left: 00:00:00:21\n", "20.0%. Run time: 4.51s. Est. time left: 00:00:00:18\n", "30.0%. Run time: 6.54s. Est. time left: 00:00:00:15\n", "40.0%. Run time: 8.39s. Est. time left: 00:00:00:12\n", "50.0%. Run time: 10.22s. Est. time left: 00:00:00:10\n", "60.0%. Run time: 12.09s. Est. time left: 00:00:00:08\n", "70.0%. Run time: 14.41s. Est. time left: 00:00:00:06\n", "80.0%. Run time: 16.58s. Est. time left: 00:00:00:04\n", "90.0%. Run time: 18.91s. Est. time left: 00:00:00:02\n", "Total run time: 20.49s\n" ] } ], "source": [ "result = cy_grape_unitary(U, H0, H_ops, R, times, u_start=u0, eps=2*np.pi/T,\n", " progress_bar=TextProgressBar())" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "#result = grape_unitary(U, H0, H_ops, R, times, u_start=u0, eps=2*np.pi/T,\n", "# progress_bar=TextProgressBar())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot control fields for iSWAP gate in the presense of single-qubit tunnelling" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGoCAYAAABL+58oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_grape_control_fields(times, result.u / (2 * np.pi), H_labels, uniform_axes=True);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.74169008690613769, -0.74154800819245748, 0.7853981633974483)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# compare to the analytical results\n", "np.mean(result.u[-1,0,:]), np.mean(result.u[-1,1,:]), np.pi/(4 * T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fidelity" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0j & 0.0\\\\0.0 & 1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", "Qobj data =\n", "[[ 1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", " [ 0.+0.j 0.+0.j 0.+1.j 0.+0.j]\n", " [ 0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n", " [ 0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.000 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.094 & 0.996j & 0.0\\\\0.0 & 0.996j & 0.094 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.000\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", "Qobj data =\n", "[[ 0.99999812+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.09360401+0.j 0.00000000+0.99560763j\n", " 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.99560763j 0.09360401+0.j\n", " 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.99999812+0.j ]]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result.U_f.tidyup(1e-2)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9978028739003396" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "_overlap(U, result.U_f).real" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test numerical integration of GRAPE pulse" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "c_ops = []" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "U_f_numerical = propagator(result.H_t, times[-1], c_ops, args={})" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(1.000+0.009j) & 0.0 & 0.0 & (5.637\\times10^{-05}-0.006j)\\\\0.0 & (0.060-5.619\\times10^{-04}j) & (0.009+0.998j) & 0.0\\\\0.0 & (0.009+0.998j) & (0.060-5.619\\times10^{-04}j) & 0.0\\\\(5.637\\times10^{-05}-0.006j) & 0.0 & 0.0 & (1.000+0.009j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", "Qobj data =\n", "[[ 9.99938152e-01 +9.34327060e-03j 0.00000000e+00 +0.00000000e+00j\n", " 0.00000000e+00 +0.00000000e+00j 5.63681404e-05 -6.03265085e-03j]\n", " [ 0.00000000e+00 +0.00000000e+00j 6.01243551e-02 -5.61860409e-04j\n", " 9.32654395e-03 +9.98147164e-01j 0.00000000e+00 +0.00000000e+00j]\n", " [ 0.00000000e+00 +0.00000000e+00j 9.32654395e-03 +9.98147164e-01j\n", " 6.01243551e-02 -5.61860409e-04j 0.00000000e+00 +0.00000000e+00j]\n", " [ 5.63681404e-05 -6.03265085e-03j 0.00000000e+00 +0.00000000e+00j\n", " 0.00000000e+00 +0.00000000e+00j 9.99938152e-01 +9.34327060e-03j]]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U_f_numerical" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9990426580571616" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "_overlap(U, U_f_numerical).real" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Process tomography" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ideal iSWAP gate" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "op_basis = [[qeye(2), sigmax(), sigmay(), sigmaz()]] * 2\n", "op_label = [[\"i\", \"x\", \"y\", \"z\"]] * 2" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAHFCAYAAAAQU+iSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "U_ideal = spre(U) * spost(U.dag())\n", "\n", "chi = qpt(U_ideal, op_basis)\n", "\n", "fig = qpt_plot_combined(chi, op_label, fig=fig, threshold=0.001)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## iSWAP gate calculated using GRAPE" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAHFCAYAAAAQU+iSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEQlK/wM57Co60f0C0wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "U_ideal = to_super(result.U_f)\n", "\n", "chi = qpt(U_ideal, op_basis)\n", "\n", "fig = qpt_plot_combined(chi, op_label, fig=fig, threshold=0.001)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Versions" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.2.0
Numpy1.13.1
SciPy0.19.1
matplotlib2.0.2
Cython0.25.2
Number of CPUs2
BLAS InfoINTEL MKL
IPython6.1.0
Python3.6.1 |Anaconda custom (x86_64)| (default, May 11 2017, 13:04:09) \n", "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
OSposix [darwin]
Wed Jul 19 22:11:52 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }