{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GRAPE calculation of control fields for single-qubit rotation" ] }, { "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\n", "from numpy import pi" ] }, { "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": [ "theta, phi = np.random.rand(2)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.986-0.054j) & (-0.009-0.157j)\\\\(0.009-0.157j) & (0.986+0.054j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\n", "Qobj data =\n", "[[ 0.98599999-0.0541191j -0.00864377-0.15748152j]\n", " [ 0.00864377-0.15748152j 0.98599999+0.0541191j ]]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# target unitary transformation (random single qubit rotation)\n", "U = rz(phi) * rx(theta); U" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "R = 150\n", "H_ops = [sigmax(), sigmay(), sigmaz()]\n", "\n", "H_labels = [r'$u_{x}$',\n", " r'$u_{y}$',\n", " r'$u_{z}$',\n", " ]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "H0 = 0 * pi * sigmaz()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# GRAPE" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from qutip.control.grape import plot_grape_control_fields, _overlap\n", "from qutip.control.cy_grape import cy_overlap\n", "from qutip.control.grape import cy_grape_unitary, grape_unitary_adaptive" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "from qutip.ui.progressbar import TextProgressBar" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "u0 = np.array([np.random.rand(len(times)) * 2 * pi * 0.005 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": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 7.45s. Est. time left: 00:00:01:07\n", "20.0%. Run time: 14.05s. Est. time left: 00:00:00:56\n", "30.0%. Run time: 21.91s. Est. time left: 00:00:00:51\n", "40.0%. Run time: 27.99s. Est. time left: 00:00:00:41\n", "50.0%. Run time: 34.34s. Est. time left: 00:00:00:34\n", "60.0%. Run time: 40.20s. Est. time left: 00:00:00:26\n", "70.0%. Run time: 46.05s. Est. time left: 00:00:00:19\n", "80.0%. Run time: 52.30s. Est. time left: 00:00:00:13\n", "90.0%. Run time: 58.29s. Est. time left: 00:00:00:06\n", "Total run time: 63.70s\n" ] } ], "source": [ "result = cy_grape_unitary(U, H0, H_ops, R, times, u_start=u0, eps=2*pi/T, phase_sensitive=False,\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": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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mzOMuXgwvfencxDUfXHcdPPVUZ1kErFx5YHjRIjj22M46X/0qTE4eGP7oR9dz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\nwPHAMuBW4OSuOuPAN4AAzgRuqDvuJr1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_grape_control_fields(times, result.u[:,:,:] / (2 * pi), H_labels, uniform_axes=True);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.986-0.054j) & (-0.009-0.157j)\\\\(0.009-0.157j) & (0.986+0.054j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\n", "Qobj data =\n", "[[ 0.98599999-0.0541191j -0.00864377-0.15748152j]\n", " [ 0.00864377-0.15748152j 0.98599999+0.0541191j ]]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# target unitary\n", "U" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.986-0.054j) & (-0.009-0.157j)\\\\(0.009-0.157j) & (0.986+0.054j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\n", "Qobj data =\n", "[[ 0.98599999-0.0541191j -0.00864377-0.15748152j]\n", " [ 0.00864377-0.15748152j 0.98599999+0.0541191j ]]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# unitary from grape pulse\n", "result.U_f" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9999999999999987, 0.9999999999999973)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# target / result overlap\n", "_overlap(U, result.U_f).real, abs(_overlap(U, result.U_f))**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Verify correctness of the Hamiltonian pulses by integration" ] }, { "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]], shape = (2, 2), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.987-0.049j) & (-3.399\\times10^{-04}-0.151j)\\\\(3.399\\times10^{-04}-0.151j) & (0.987+0.049j)\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = False\n", "Qobj data =\n", "[[ 9.87331556e-01-0.04867515j -3.39865702e-04-0.15101991j]\n", " [ 3.39865702e-04-0.15101991j 9.87331556e-01+0.04867515j]]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U_f_numerical" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9999289415682254+0j)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "_overlap(U, U_f_numerical)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bloch sphere dynamics" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "psi0 = basis(2, 0)\n", "e_ops = [sigmax(), sigmay(), sigmaz()]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "me_result = mesolve(result.H_t, psi0, times, c_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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HAQGwdvkyVpeX4fV6e4xG4p2CtPRvQERRhPPnziHgZG/XallrQu7iyK04Sqf2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\n15j6EgwtNiJKp9PIF4soFAo15wIBsHtqCol4HF9fvIhfHD1aW6a5hsM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3A6AOR2BHwhYx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hr27d/f/vX9hHgvjP7w8DBuXbsGm/avrQVS9XOwsCUqbCqlAHhFOqIgoFwqwTAM9PX1QaOJXl3T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\nJPoEQRADxP8DzqOiRZZLmTUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = Bloch()\n", "\n", "b.add_points(me_result.expect)\n", "\n", "b.add_states(psi0)\n", "b.add_states(U * psi0)\n", "b.render()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Process tomography" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ideal gate" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "op_basis = [[qeye(2), sigmax(), sigmay(), sigmaz()]]\n", "op_label = [[\"i\", \"x\", \"y\", \"z\"]]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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jIxGLxeDxeFQdA9EcjtdK2yQquTe5zsXw8DBaWloQiUQU2bZ96/YenA6Oq1cP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\nT2K6w7udyXcAAAAASUVORK5CYII=\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": [ "## Gate calculated using GRAPE" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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jIxGLxeDxeFQdA9EcjtdK2yQquTe5zsXw8DBaWloQiUQU2bZ96/YenA6Oq1cP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PAAAg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\nRLMkQY4QQgghmqX/D72bxtdkr9rHAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "U_ideal = spre(result.U_f) * spost(result.U_f.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": [ "## Versions" ] }, { "cell_type": "code", "execution_count": 26, "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 22:14:32 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 26, "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 }