{ "metadata": { "name": "", "signature": "sha256:6a10905ee83cd3094ad0ab1ac652d437fa7265c39eea871e8d6b77a2c5de5705" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP lecture: simulation of a two-qubit gate using a resonator as coupler\n", "\n", "Author: J.R. Johansson, robert@riken.jp\n", "\n", "http://dml.riken.jp/~rob/\n", "\n", "Latest version of this ipython notebook lecture are available at: http://github.com/jrjohansson/qutip-lectures" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 10\n", "\n", "wc = 5.0 * 2 * pi\n", "w1 = 3.0 * 2 * pi\n", "w2 = 2.0 * 2 * pi\n", "\n", "g1 = 0.01 * 2 * pi\n", "g2 = 0.0125 * 2 * pi\n", "\n", "tlist = np.linspace(0, 100, 500)\n", "\n", "width = 0.5\n", "\n", "# resonant SQRT iSWAP gate\n", "T0_1 = 20\n", "T_gate_1 = (1*pi)/(4 * g1)\n", "\n", "# resonant iSWAP gate\n", "T0_2 = 60\n", "T_gate_2 = (2*pi)/(4 * g2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Operators, Hamiltonian and initial state " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# cavity operators\n", "a = tensor(destroy(N), qeye(2), qeye(2))\n", "n = a.dag() * a\n", "\n", "# operators for qubit 1\n", "sm1 = tensor(qeye(N), destroy(2), qeye(2))\n", "sz1 = tensor(qeye(N), sigmaz(), qeye(2))\n", "n1 = sm1.dag() * sm1\n", "\n", "# oeprators for qubit 2\n", "sm2 = tensor(qeye(N), qeye(2), destroy(2))\n", "sz2 = tensor(qeye(N), qeye(2), sigmaz())\n", "n2 = sm2.dag() * sm2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# Hamiltonian using QuTiP\n", "Hc = a.dag() * a\n", "H1 = - 0.5 * sz1\n", "H2 = - 0.5 * sz2\n", "Hc1 = g1 * (a.dag() * sm1 + a * sm1.dag())\n", "Hc2 = g2 * (a.dag() * sm2 + a * sm2.dag())\n", "\n", "H = wc * Hc + w1 * H1 + w2 * H2 + Hc1 + Hc2 " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "H" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "Quantum object: dims = [[10, 2, 2], [10, 2, 2]], shape = [40, 40], type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}-15.708 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -3.142 & 0.0 & 0.0 & 0.079 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 3.142 & 0.0 & 0.063 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 15.708 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.079 & 0.063 & 0.0 & 15.708 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 267.035 & 0.0 & 0.188 & 0.236 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 267.035 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.188 & 0.0 & 279.602 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.236 & 0.0 & 0.0 & 285.885 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 298.451\\\\\\end{array}\\right)\\end{equation*}" ], "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "Quantum object: dims = [[10, 2, 2], [10, 2, 2]], shape = [40, 40], type = oper, isherm = True\n", "Qobj data =\n", "[[ -15.70796327 0. 0. ..., 0. 0. 0. ]\n", " [ 0. -3.14159265 0. ..., 0. 0. 0. ]\n", " [ 0. 0. 3.14159265 ..., 0. 0. 0. ]\n", " ..., \n", " [ 0. 0. 0. ..., 279.60174617 0. 0. ]\n", " [ 0. 0. 0. ..., 0. 285.88493148\n", " 0. ]\n", " [ 0. 0. 0. ..., 0. 0.\n", " 298.45130209]]" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# initial state: start with one of the qubits in its excited state\n", "psi0 = tensor(basis(N,0),basis(2,1),basis(2,0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ideal two-qubit iSWAP gate" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def step_t(w1, w2, t0, width, t):\n", " \"\"\"\n", " Step function that goes from w1 to w2 at time t0\n", " as a function of t. \n", " \"\"\"\n", " return w1 + (w2 - w1) * (t > t0)\n", "\n", "\n", "fig, axes = plt.subplots(1, 1, figsize=(8,2))\n", "axes.plot(tlist, [step_t(0.5, 1.5, 50, 0.0, t) for t in tlist], 'k')\n", "axes.set_ylim(0, 2)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAACKCAYAAACn6DChAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n13bTw3mjAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "def wc_t(t, args=None):\n", " return wc\n", "\n", "def w1_t(t, args=None):\n", " return w1 + step_t(0.0, wc-w1, T0_1, width, t) - step_t(0.0, wc-w1, T0_1+T_gate_1, width, t)\n", "\n", "def w2_t(t, args=None):\n", " return w2 + step_t(0.0, wc-w2, T0_2, width, t) - step_t(0.0, wc-w2, T0_2+T_gate_2, width, t)\n", "\n", "\n", "H_t = [[Hc, wc_t], [H1, w1_t], [H2, w2_t], Hc1+Hc2]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, [], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREH+H8jH/I8+Bt5gQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inspect the final state" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# extract the final state from the result of the simulation\n", "rho_final = res.states[-1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# trace out the resonator mode and print the two-qubit density matrix\n", "rho_qubits = ptrace(rho_final, [1,2])\n", "rho_qubits" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = [4, 4], type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}6.236\\times10^{-05} & 0.0 & 0.0 & 0.0\\\\0.0 & 0.500 & (-0.500+0.020j) & 0.0\\\\0.0 & (-0.500-0.020j) & 0.500 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}" ], "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = [4, 4], type = oper, isherm = True\n", "Qobj data =\n", "[[ 6.23619654e-05+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n", " 0.00000000e+00+0.j ]\n", " [ 0.00000000e+00+0.j 5.00063399e-01+0.j\n", " -4.99573000e-01+0.01989043j 0.00000000e+00+0.j ]\n", " [ 0.00000000e+00+0.j -4.99573000e-01-0.01989043j\n", " 4.99874239e-01+0.j 0.00000000e+00+0.j ]\n", " [ 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n", " 0.00000000e+00+0.j ]]" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# compare to the ideal result of the sqrtiswap gate (plus phase correction) for the current initial state\n", "rho_qubits_ideal = ket2dm(tensor(phasegate(0), phasegate(-pi/2)) * sqrtiswap() * tensor(basis(2,1), basis(2,0)))\n", "rho_qubits_ideal" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = [4, 4], type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.500 & 0.500 & 0.0\\\\0.0 & 0.500 & 0.500 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}" ], "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "Quantum object: dims = [[2, 2], [2, 2]], shape = [4, 4], type = oper, isherm = True\n", "Qobj data =\n", "[[ 0. 0. 0. 0. ]\n", " [ 0. 0.5 0.5 0. ]\n", " [ 0. 0.5 0.5 0. ]\n", " [ 0. 0. 0. 0. ]]" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "blocks must have rank 2", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mfidelity\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mrho_qubits\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mrho_qubits_ideal\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/qutip/metrics.py\u001b[0m in \u001b[0;36mfidelity\u001b[1;34m(A, B)\u001b[0m\n\u001b[0;32m 77\u001b[0m \u001b[1;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Density matrices do not have same dimensions.'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 78\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 79\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mA\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrtm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 80\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mfloat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreal\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mA\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mB\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mA\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrtm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 81\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/qutip/qobj.py\u001b[0m in \u001b[0;36msqrtm\u001b[1;34m(self, sparse, tol, maxiter)\u001b[0m\n\u001b[0;32m 930\u001b[0m dV = sp.spdiags(np.sqrt(np.abs(evals)), 0, numevals, numevals,\n\u001b[0;32m 931\u001b[0m format='csr')\n\u001b[1;32m--> 932\u001b[1;33m \u001b[0mevecs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhstack\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mformat\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'csr'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 933\u001b[0m \u001b[0mspDv\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdV\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mconj\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mT\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 934\u001b[0m \u001b[0mout\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mQobj\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mspDv\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdims\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdims\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/scipy/sparse/construct.py\u001b[0m in \u001b[0;36mhstack\u001b[1;34m(blocks, format, dtype)\u001b[0m\n\u001b[0;32m 421\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 422\u001b[0m \"\"\"\n\u001b[1;32m--> 423\u001b[1;33m \u001b[1;32mreturn\u001b[0m \u001b[0mbmat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mblocks\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mformat\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mformat\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdtype\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 424\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 425\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/scipy/sparse/construct.py\u001b[0m in \u001b[0;36mbmat\u001b[1;34m(blocks, format, dtype)\u001b[0m\n\u001b[0;32m 501\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 502\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrank\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mblocks\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 503\u001b[1;33m \u001b[1;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'blocks must have rank 2'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 504\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 505\u001b[0m \u001b[0mM\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mN\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mblocks\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mValueError\u001b[0m: blocks must have rank 2" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "0.99993761387721947" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dissipative two-qubit iSWAP gate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define collapse operators that describe dissipation\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "kappa = 0.0001\n", "gamma1 = 0.005\n", "gamma2 = 0.005\n", "\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma1) * sm1, sqrt(gamma2) * sm2]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, c_ops, [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERkQn8D5n6i6HJxfw8AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_final = res.states[-1]\n", "rho_qubits = ptrace(rho_final, [1,2])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "blocks must have rank 2", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mfidelity\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mrho_qubits\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mrho_qubits_ideal\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/qutip/metrics.py\u001b[0m in \u001b[0;36mfidelity\u001b[1;34m(A, B)\u001b[0m\n\u001b[0;32m 77\u001b[0m \u001b[1;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Density matrices do not have same dimensions.'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 78\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 79\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mA\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrtm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 80\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mfloat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreal\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mA\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mB\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mA\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrtm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 81\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/qutip/qobj.py\u001b[0m in \u001b[0;36msqrtm\u001b[1;34m(self, sparse, tol, maxiter)\u001b[0m\n\u001b[0;32m 930\u001b[0m dV = sp.spdiags(np.sqrt(np.abs(evals)), 0, numevals, numevals,\n\u001b[0;32m 931\u001b[0m format='csr')\n\u001b[1;32m--> 932\u001b[1;33m \u001b[0mevecs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhstack\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mformat\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'csr'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 933\u001b[0m \u001b[0mspDv\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdV\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mconj\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mT\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 934\u001b[0m \u001b[0mout\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mQobj\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevecs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mspDv\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdims\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdims\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/scipy/sparse/construct.py\u001b[0m in \u001b[0;36mhstack\u001b[1;34m(blocks, format, dtype)\u001b[0m\n\u001b[0;32m 421\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 422\u001b[0m \"\"\"\n\u001b[1;32m--> 423\u001b[1;33m \u001b[1;32mreturn\u001b[0m \u001b[0mbmat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mblocks\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mformat\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mformat\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdtype\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 424\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 425\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/scipy/sparse/construct.py\u001b[0m in \u001b[0;36mbmat\u001b[1;34m(blocks, format, dtype)\u001b[0m\n\u001b[0;32m 501\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 502\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrank\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mblocks\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 503\u001b[1;33m \u001b[1;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'blocks must have rank 2'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 504\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 505\u001b[0m \u001b[0mM\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mN\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mblocks\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mValueError\u001b[0m: blocks must have rank 2" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "0.67237860360915169" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-qubit iSWAP gate: Finite pulse rise time" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def step_t(w1, w2, t0, width, t):\n", " \"\"\"\n", " Step function that goes from w1 to w2 at time t0\n", " as a function of t, with finite rise time defined\n", " by the parameter width.\n", " \"\"\"\n", " return w1 + (w2 - w1) / (1 + exp(-(t-t0)/width))\n", "\n", "\n", "fig, axes = plt.subplots(1, 1, figsize=(8,2))\n", "axes.plot(tlist, [step_t(0.5, 1.5, 50, width, t) for t in tlist], 'k')\n", "axes.set_ylim(0, 2)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAACKCAYAAACn6DChAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncAAAgO38D7gl9+Z2WoQUAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, [], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_final = res.states[-1]\n", "rho_qubits = ptrace(rho_final, [1,2])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "0.970184996286606" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "0.91473062460510268" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-qubit iSWAP gate: Finite rise time with overshoot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.special import sici\n", "\n", "def step_t(w1, w2, t0, width, t):\n", " \"\"\"\n", " Step function that goes from w1 to w2 at time t0\n", " as a function of t, with finite rise time and \n", " and overshoot defined by the parameter width.\n", " \"\"\"\n", "\n", " return w1 + (w2-w1) * (0.5 + sici((t-t0)/width)[0]/(pi))\n", "\n", "\n", "fig, axes = plt.subplots(1, 1, figsize=(8,2))\n", "axes.plot(tlist, [step_t(0.5, 1.5, 50, width, t) for t in tlist], 'k')\n", "axes.set_ylim(0, 2)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAACKCAYAAACn6DChAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, [], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbBJc+wAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_final = res.states[-1]\n", "rho_qubits = ptrace(rho_final, [1,2])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "0.9858234626300226" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "0.96641065049070052" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-qubit iSWAP gate: Finite pulse rise time and dissipation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# increase the pulse rise time a bit\n", "width = 0.6\n", "\n", "# high-Q resonator but dissipative qubits\n", "kappa = 0.00001\n", "gamma1 = 0.005\n", "gamma2 = 0.005\n", "\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma1) * sm1, sqrt(gamma2) * sm2]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, c_ops, [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGQGTKyIiIiIiIiNgckVERERERGQE/wcYQVpSVfUT0AAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_final = res.states[-1]\n", "rho_qubits = ptrace(rho_final, [1,2])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "0.7943108372320334" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "0.62615691287517516" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-qubit iSWAP gate: Using tunable resonator and fixed-frequency qubits" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# reduce the rise time\n", "width = 0.25\n", "\n", "def wc_t(t, args=None):\n", " return wc - step_t(0.0, wc-w1, T0_1, width, t) + step_t(0.0, wc-w1, T0_1+T_gate_1, width, t) \\\n", " - step_t(0.0, wc-w2, T0_2, width, t) + step_t(0.0, wc-w2, T0_2+T_gate_2, width, t)\n", "\n", "H_t = [[Hc, wc_t], H1 * w1 + H2 * w2 + Hc1+Hc2]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "res = mesolve(H_t, psi0, tlist, c_ops, [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(12,8))\n", "\n", "axes[0].plot(tlist, array(list(map(wc_t, tlist))) / (2*pi), 'r', linewidth=2, label=\"cavity\")\n", "axes[0].plot(tlist, array(list(map(w1_t, tlist))) / (2*pi), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[0].plot(tlist, array(list(map(w2_t, tlist))) / (2*pi), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[0].set_ylim(1, 6)\n", "axes[0].set_ylabel(\"Energy (GHz)\", fontsize=16)\n", "axes[0].legend()\n", "\n", "axes[1].plot(tlist, real(expect(n, res.states)), 'r', linewidth=2, label=\"cavity\")\n", "axes[1].plot(tlist, real(expect(n1, res.states)), 'b', linewidth=2, label=\"qubit 1\")\n", "axes[1].plot(tlist, real(expect(n2, res.states)), 'g', linewidth=2, label=\"qubit 2\")\n", "axes[1].set_ylim(0, 1)\n", "\n", "axes[1].set_xlabel(\"Time (ns)\", fontsize=16)\n", "axes[1].set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes[1].legend()\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAAI5CAYAAABNS8BuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fidelity and concurrence" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_final = res.states[-1]\n", "rho_qubits = ptrace(rho_final, [1,2])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "fidelity(rho_qubits, rho_qubits_ideal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 45, "text": [ "0.8209803465743701" ] } ], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "concurrence(rho_qubits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "0.67365901098917069" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
QuTiP3.0.0.dev-5a88aa8
IPython2.0.0
Cython0.20.1post0
Python3.4.1 (default, Jun 9 2014, 17:34:49) \n", "[GCC 4.8.3]
OSposix [linux]
Numpy1.8.1
matplotlib1.3.1
SciPy0.13.3
Thu Jun 26 15:09:06 2014 JST
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "" ] } ], "prompt_number": 30 } ], "metadata": {} } ] }