{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimization of a Dissipative Quantum Gate" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.171450Z", "start_time": "2019-02-25T22:59:37.519770Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "qutip 4.4.1\n", "matplotlib 3.1.2\n", "scipy 1.3.1\n", "krotov 1.0.0\n", "numpy 1.17.2\n", "matplotlib.pylab 1.17.2\n", "CPython 3.7.3\n", "IPython 7.10.2\n" ] } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "%load_ext watermark\n", "import os\n", "import qutip\n", "import numpy as np\n", "import scipy\n", "import matplotlib\n", "import matplotlib.pylab as plt\n", "import krotov\n", "import copy\n", "from functools import partial\n", "from itertools import product\n", "%watermark -v --iversions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\newcommand{tr}[0]{\\operatorname{tr}}\n", "\\newcommand{diag}[0]{\\operatorname{diag}}\n", "\\newcommand{abs}[0]{\\operatorname{abs}}\n", "\\newcommand{pop}[0]{\\operatorname{pop}}\n", "\\newcommand{aux}[0]{\\text{aux}}\n", "\\newcommand{int}[0]{\\text{int}}\n", "\\newcommand{opt}[0]{\\text{opt}}\n", "\\newcommand{tgt}[0]{\\text{tgt}}\n", "\\newcommand{init}[0]{\\text{init}}\n", "\\newcommand{lab}[0]{\\text{lab}}\n", "\\newcommand{rwa}[0]{\\text{rwa}}\n", "\\newcommand{bra}[1]{\\langle#1\\vert}\n", "\\newcommand{ket}[1]{\\vert#1\\rangle}\n", "\\newcommand{Bra}[1]{\\left\\langle#1\\right\\vert}\n", "\\newcommand{Ket}[1]{\\left\\vert#1\\right\\rangle}\n", "\\newcommand{Braket}[2]{\\left\\langle #1\\vphantom{#2}\\mid{#2}\\vphantom{#1}\\right\\rangle}\n", "\\newcommand{ketbra}[2]{\\vert#1\\rangle\\!\\langle#2\\vert}\n", "\\newcommand{op}[1]{\\hat{#1}}\n", "\\newcommand{Op}[1]{\\hat{#1}}\n", "\\newcommand{dd}[0]{\\,\\text{d}}\n", "\\newcommand{Liouville}[0]{\\mathcal{L}}\n", "\\newcommand{DynMap}[0]{\\mathcal{E}}\n", "\\newcommand{identity}[0]{\\mathbf{1}}\n", "\\newcommand{Norm}[1]{\\lVert#1\\rVert}\n", "\\newcommand{Abs}[1]{\\left\\vert#1\\right\\vert}\n", "\\newcommand{avg}[1]{\\langle#1\\rangle}\n", "\\newcommand{Avg}[1]{\\left\\langle#1\\right\\rangle}\n", "\\newcommand{AbsSq}[1]{\\left\\vert#1\\right\\vert^2}\n", "\\newcommand{Re}[0]{\\operatorname{Re}}\n", "\\newcommand{Im}[0]{\\operatorname{Im}}$\n", "\n", "This example illustrates the optimization for a quantum gate in an open quantum system, where the dynamics is governed by the Liouville-von Neumann equation. A naive extension of a gate optimization to Liouville space would seem to imply that it is necessary to optimize over the full basis of Liouville space (16 matrices, for a two-qubit gate). However, [Goerz et al., New J. Phys. 16, 055012 (2014)][1] showed that is not necessary, but that a set of 3 density matrices is sufficient to track the optimization.\n", "\n", "This example reproduces the \"Example II\" from that paper, considering the optimization towards a $\\sqrt{\\text{iSWAP}}$ two-qubit gate on a system of two transmons with a shared transmission line resonator.\n", "\n", "[1]: https://michaelgoerz.net/research/Goerz_NJP2014.pdf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: This notebook uses some parallelization features (`qutip.parallel_map`/`multiprocessing.Pool`). Unfortunately, on Windows, `multiprocessing.Pool` does not work correctly for functions defined in a Jupyter notebook (due to the [`spawn` method](https://docs.python.org/3/library/multiprocessing.html#contexts-and-start-methods) being used on Windows, instead of Unix-`fork`, see also https://stackoverflow.com/questions/45719956). We therefore replace `parallel_map` with `serial_map` when running on Windows." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import sys\n", "if sys.platform == 'win32':\n", " from qutip import serial_map as parallel_map\n", "else:\n", " from qutip import parallel_map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The two-transmon system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the Hamiltonian from Eq (17) in the paper, in the rotating wave approximation, together with spontaneous decay and dephasing of each qubit. Alltogether, we define the Liouvillian as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.192093Z", "start_time": "2019-02-25T22:59:40.175121Z" }, "lines_to_next_cell": 2 }, "outputs": [], "source": [ "def two_qubit_transmon_liouvillian(\n", " ω1, ω2, ωd, δ1, δ2, J, q1T1, q2T1, q1T2, q2T2, T, Omega, n_qubit\n", "):\n", " from qutip import tensor, identity, destroy\n", "\n", " b1 = tensor(identity(n_qubit), destroy(n_qubit))\n", " b2 = tensor(destroy(n_qubit), identity(n_qubit))\n", "\n", " H0 = (\n", " (ω1 - ωd - δ1 / 2) * b1.dag() * b1\n", " + (δ1 / 2) * b1.dag() * b1 * b1.dag() * b1\n", " + (ω2 - ωd - δ2 / 2) * b2.dag() * b2\n", " + (δ2 / 2) * b2.dag() * b2 * b2.dag() * b2\n", " + J * (b1.dag() * b2 + b1 * b2.dag())\n", " )\n", "\n", " H1_re = 0.5 * (b1 + b1.dag() + b2 + b2.dag()) # 0.5 is due to RWA\n", " H1_im = 0.5j * (b1.dag() - b1 + b2.dag() - b2)\n", "\n", " H = [H0, [H1_re, Omega], [H1_im, ZeroPulse]]\n", "\n", " A1 = np.sqrt(1 / q1T1) * b1 # decay of qubit 1\n", " A2 = np.sqrt(1 / q2T1) * b2 # decay of qubit 2\n", " A3 = np.sqrt(1 / q1T2) * b1.dag() * b1 # dephasing of qubit 1\n", " A4 = np.sqrt(1 / q2T2) * b2.dag() * b2 # dephasing of qubit 2\n", "\n", " L = krotov.objectives.liouvillian(H, c_ops=[A1, A2, A3, A4])\n", " return L" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use internal units GHz and ns. Values in GHz contain an implicit factor 2π, and MHz and μs are converted to GHz and ns, respectively:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.205367Z", "start_time": "2019-02-25T22:59:40.195692Z" } }, "outputs": [], "source": [ "GHz = 2 * np.pi\n", "MHz = 1e-3 * GHz\n", "ns = 1\n", "μs = 1000 * ns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This implicit factor $2 \\pi$ is because frequencies ($\\nu$) convert to energies as $E = h \\nu$, but our propagation routines assume a unit $\\hbar = 1$ for energies. Thus, the factor $h / \\hbar = 2 \\pi$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the same parameters as those given in Table 2 of the paper:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.217979Z", "start_time": "2019-02-25T22:59:40.210784Z" } }, "outputs": [], "source": [ "ω1 = 4.3796 * GHz # qubit frequency 1\n", "ω2 = 4.6137 * GHz # qubit frequency 2\n", "ωd = 4.4985 * GHz # drive frequency\n", "δ1 = -239.3 * MHz # anharmonicity 1\n", "δ2 = -242.8 * MHz # anharmonicity 2\n", "J = -2.3 * MHz # effective qubit-qubit coupling\n", "q1T1 = 38.0 * μs # decay time for qubit 1\n", "q2T1 = 32.0 * μs # decay time for qubit 2\n", "q1T2 = 29.5 * μs # dephasing time for qubit 1\n", "q2T2 = 16.0 * μs # dephasing time for qubit 2\n", "T = 400 * ns # gate duration" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.229669Z", "start_time": "2019-02-25T22:59:40.222923Z" } }, "outputs": [], "source": [ "tlist = np.linspace(0, T, 2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While in the original paper, each transmon was cut off at 6 levels, here we truncate at 5 levels. This makes the propagation faster, while potentially introducing a slightly larger truncation error." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.238416Z", "start_time": "2019-02-25T22:59:40.232687Z" } }, "outputs": [], "source": [ "n_qubit = 5 # number of transmon levels to consider" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the Liouvillian, note the control being split up into a separate real and imaginary part. As a guess control we use a real-valued constant pulse with an amplitude of 35 MHz, acting over 400 ns, with a switch-on and switch-off in the first 20 ns (see plot below)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.247668Z", "start_time": "2019-02-25T22:59:40.241426Z" } }, "outputs": [], "source": [ "def Omega(t, args):\n", " E0 = 35.0 * MHz\n", " return E0 * krotov.shapes.flattop(t, 0, T, t_rise=(20 * ns), func='sinsq')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The imaginary part start out as zero:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.257861Z", "start_time": "2019-02-25T22:59:40.251172Z" } }, "outputs": [], "source": [ "def ZeroPulse(t, args):\n", " return 0.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now instantiate the Liouvillian:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.285740Z", "start_time": "2019-02-25T22:59:40.261287Z" } }, "outputs": [], "source": [ "L = two_qubit_transmon_liouvillian(\n", " ω1, ω2, ωd, δ1, δ2, J, q1T1, q2T1, q1T2, q2T2, T, Omega, n_qubit\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The guess pulse looks as follows:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.297545Z", "start_time": "2019-02-25T22:59:40.288088Z" } }, "outputs": [], "source": [ "def plot_pulse(pulse, tlist, xlimit=None):\n", " fig, ax = plt.subplots()\n", " if callable(pulse):\n", " pulse = np.array([pulse(t, None) for t in tlist])\n", " ax.plot(tlist, pulse/MHz)\n", " ax.set_xlabel('time (ns)')\n", " ax.set_ylabel('pulse amplitude (MHz)')\n", " if xlimit is not None:\n", " ax.set_xlim(xlimit)\n", " plt.show(fig)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.569943Z", "start_time": "2019-02-25T22:59:40.300753Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_pulse(L[1][1], tlist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization objectives" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our target gate is $\\Op{O} = \\sqrt{\\text{iSWAP}}$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.580131Z", "start_time": "2019-02-25T22:59:40.573402Z" } }, "outputs": [], "source": [ "gate = qutip.gates.sqrtiswap()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.594565Z", "start_time": "2019-02-25T22:59:40.583702Z" } }, "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 & 0.707 & 0.707j & 0.0\\\\0.0 & 0.707j & 0.707 & 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\n", " 0. +0.j ]\n", " [0. +0.j 0.70710678+0.j 0. +0.70710678j\n", " 0. +0.j ]\n", " [0. +0.j 0. +0.70710678j 0.70710678+0.j\n", " 0. +0.j ]\n", " [0. +0.j 0. +0.j 0. +0.j\n", " 1. +0.j ]]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "gate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key idea explored in the paper is that a set of three density matrices is sufficient to track the optimization\n", "\n", "$$\n", "\\begin{align}\n", "\\Op{\\rho}_1\n", " &= \\sum_{i=1}^{d} \\frac{2 (d-i+1)}{d (d+1)} \\ketbra{i}{i} \\\\\n", "\\Op{\\rho}_2\n", " &= \\sum_{i,j=1}^{d} \\frac{1}{d} \\ketbra{i}{j} \\\\\n", "\\Op{\\rho}_3\n", " &= \\sum_{i=1}^{d} \\frac{1}{d} \\ketbra{i}{i}\n", "\\end{align}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In our case, $d=4$ for a two qubit-gate, and the $\\ket{i}$, $\\ket{j}$ are the canonical basis states $\\ket{00}$, $\\ket{01}$, $\\ket{10}$, $\\ket{11}$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.608111Z", "start_time": "2019-02-25T22:59:40.599143Z" } }, "outputs": [], "source": [ "ket00 = qutip.ket((0, 0), dim=(n_qubit, n_qubit))\n", "ket01 = qutip.ket((0, 1), dim=(n_qubit, n_qubit))\n", "ket10 = qutip.ket((1, 0), dim=(n_qubit, n_qubit))\n", "ket11 = qutip.ket((1, 1), dim=(n_qubit, n_qubit))\n", "basis = [ket00, ket01, ket10, ket11]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The three density matrices play different roles in the optimization, and, as shown in the paper, convergence may improve significantly by weighing the states relatively to each other. For this example, we place a strong emphasis on the optimization $\\Op{\\rho}_1 \\rightarrow \\Op{O}^\\dagger \\Op{\\rho}_1 \\Op{O}$, by a factor of 20. This reflects that the hardest part of the optimization is identifying the basis in which the gate is diagonal. We will be using the real-part functional ($J_{T,\\text{re}}$) to evaluate the success of $\\Op{\\rho}_i \\rightarrow \\Op{O}\\Op{\\rho}_i\\Op{O}^\\dagger$. Because $\\Op{\\rho}_1$ and $\\Op{\\rho}_3$ are mixed states, the Hilbert-Schmidt overlap will take values smaller than one in the optimal case. To compensate, we divide the weights by the purity of the respective states." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-02-28T23:05:44.737747Z", "start_time": "2019-02-28T23:05:44.716209Z" } }, "outputs": [], "source": [ "weights = np.array([20, 1, 1], dtype=np.float64)\n", "weights *= len(weights) / np.sum(weights) # manual normalization\n", "weights /= np.array([0.3, 1.0, 0.25]) # purities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `krotov.gate_objectives` routine can initialize the density matrices $\\Op{\\rho}_1$, $\\Op{\\rho}_2$, $\\Op{\\rho}_3$ automatically, via the parameter `liouville_states_set`. Alternatively, we could also use the `'full'` basis of 16 matrices or the extended set of $d+1 = 5$ pure-state density matrices." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.667015Z", "start_time": "2019-02-25T22:59:40.626148Z" } }, "outputs": [ { "data": { "text/plain": [ "[Objective[ρ₀[5⊗5,5⊗5] to ρ₁[5⊗5,5⊗5] via [𝓛₀[[5⊗5,5⊗5],[5⊗5,5⊗5]], [𝓛₁[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₁(t)], [𝓛₂[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₂(t)]]],\n", " Objective[ρ₂[5⊗5,5⊗5] to ρ₃[5⊗5,5⊗5] via [𝓛₀[[5⊗5,5⊗5],[5⊗5,5⊗5]], [𝓛₁[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₁(t)], [𝓛₂[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₂(t)]]],\n", " Objective[ρ₄[5⊗5,5⊗5] to ρ₅[5⊗5,5⊗5] via [𝓛₀[[5⊗5,5⊗5],[5⊗5,5⊗5]], [𝓛₁[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₁(t)], [𝓛₂[[5⊗5,5⊗5],[5⊗5,5⊗5]], u₂(t)]]]]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "objectives = krotov.gate_objectives(\n", " basis,\n", " gate,\n", " L,\n", " liouville_states_set='3states',\n", " weights=weights,\n", " normalize_weights=False,\n", ")\n", "objectives" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The use of `normalize_weights=False` is because we have included the purities in the weights, as discussed above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamics under the Guess Pulse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For numerical efficiency, both for the analysis of the guess/optimized controls, we will use a stateful density matrix propagator:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A true physical measure for the success of the optimization is the \"average gate fidelity\". Evaluating the fidelity requires to simulate the dynamics of the full basis of Liouville space:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.719277Z", "start_time": "2019-02-25T22:59:40.706105Z" } }, "outputs": [], "source": [ "full_liouville_basis = [psi * phi.dag() for (psi, phi) in product(basis, basis)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We propagate these under the guess control:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T22:59:40.740828Z", "start_time": "2019-02-25T22:59:40.733496Z" } }, "outputs": [], "source": [ "def propagate_guess(initial_state):\n", " return objectives[0].mesolve(\n", " tlist,\n", " rho0=initial_state,\n", " ).states[-1]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:17.931711Z", "start_time": "2019-02-25T22:59:40.746263Z" }, "scrolled": true }, "outputs": [], "source": [ "full_states_T = parallel_map(\n", " propagate_guess, values=full_liouville_basis,\n", ")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:17.958621Z", "start_time": "2019-02-25T23:00:17.933972Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_avg = 0.344\n" ] } ], "source": [ "print(\"F_avg = %.3f\" % krotov.functionals.F_avg(full_states_T, basis, gate))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we use $F_{T,\\text{re}}$, not $F_{\\text{avg}}$ to steer the optimization, as the Krotov boundary condition $\\frac{\\partial F_{\\text{avg}}}{\\partial \\rho^\\dagger}$ would be non-trivial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before doing the optimization, we can look the population dynamics under the guess pulse. For this purpose we propagate the pure-state density matrices corresponding to the canonical logical basis in Hilbert space, and obtain the expectation values for the projection onto these same states:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:17.968060Z", "start_time": "2019-02-25T23:00:17.960892Z" } }, "outputs": [], "source": [ "rho00, rho01, rho10, rho11 = [qutip.ket2dm(psi) for psi in basis]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:17.979742Z", "start_time": "2019-02-25T23:00:17.972164Z" } }, "outputs": [], "source": [ "def propagate_guess_for_expvals(initial_state):\n", " return objectives[0].propagate(\n", " tlist,\n", " propagator=krotov.propagators.DensityMatrixODEPropagator(),\n", " rho0=initial_state,\n", " e_ops=[rho00, rho01, rho10, rho11]\n", " )" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:17.991740Z", "start_time": "2019-02-25T23:00:17.982746Z" } }, "outputs": [], "source": [ "def plot_population_dynamics(dyn00, dyn01, dyn10, dyn11):\n", " fig, axs = plt.subplots(ncols=2, nrows=2, figsize=(16, 8))\n", " axs = np.ndarray.flatten(axs)\n", " labels = ['00', '01', '10', '11']\n", " dyns = [dyn00, dyn01, dyn10, dyn11]\n", " for (ax, dyn, title) in zip(axs, dyns, labels):\n", " for (i, label) in enumerate(labels):\n", " ax.plot(dyn.times, dyn.expect[i], label=label)\n", " ax.legend()\n", " ax.set_title(title)\n", " plt.show(fig)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:00:27.285618Z", "start_time": "2019-02-25T23:00:17.994014Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_population_dynamics(\n", " *parallel_map(\n", " propagate_guess_for_expvals,\n", " values=[rho00, rho01, rho10, rho11],\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now define the optimization parameters for the controls, the Krotov step size $\\lambda_a$ and the update-shape that will ensure that the pulse switch-on and switch-off stays intact." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "pulse_options = {\n", " L[i][1]: dict(\n", " lambda_a=1.0,\n", " update_shape=partial(\n", " krotov.shapes.flattop, t_start=0, t_stop=T, t_rise=(20 * ns))\n", " )\n", " for i in [1, 2]\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we run the optimization for 2000 iterations" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iter. J_T ∑∫gₐ(t)dt J ΔJ_T ΔJ secs\n", "0 1.22e-01 0.00e+00 1.22e-01 n/a n/a 9\n", "1 7.49e-02 2.26e-02 9.75e-02 -4.67e-02 -2.41e-02 30\n", "2 7.41e-02 3.98e-04 7.45e-02 -8.12e-04 -4.14e-04 33\n", "3 7.33e-02 3.70e-04 7.37e-02 -7.55e-04 -3.85e-04 36\n" ] } ], "source": [ "opt_result = krotov.optimize_pulses(\n", " objectives,\n", " pulse_options,\n", " tlist,\n", " propagator=krotov.propagators.DensityMatrixODEPropagator(reentrant=True),\n", " chi_constructor=krotov.functionals.chis_re,\n", " info_hook=krotov.info_hooks.print_table(J_T=krotov.functionals.J_T_re),\n", " iter_stop=3,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(this takes a while)..." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "dumpfile = \"./3states_opt_result.dump\"\n", "if os.path.isfile(dumpfile):\n", " opt_result = krotov.result.Result.load(dumpfile, objectives)\n", "else:\n", " opt_result = krotov.optimize_pulses(\n", " objectives,\n", " pulse_options,\n", " tlist,\n", " propagator=krotov.propagators.DensityMatrixODEPropagator(reentrant=True),\n", " chi_constructor=krotov.functionals.chis_re,\n", " info_hook=krotov.info_hooks.print_table(J_T=krotov.functionals.J_T_re),\n", " iter_stop=5,\n", " continue_from=opt_result\n", " )\n", " opt_result.dump(dumpfile)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Krotov Optimization Result\n", "--------------------------\n", "- Started at 2019-02-25 00:43:31\n", "- Number of objectives: 3\n", "- Number of iterations: 2000\n", "- Reason for termination: Reached 2000 iterations\n", "- Ended at 2019-02-25 23:19:34 (22:36:03)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization result" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "optimized_control = opt_result.optimized_controls[0] + 1j * opt_result.optimized_controls[1]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:02:14.923211Z", "start_time": "2019-02-25T23:02:14.731199Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_pulse(np.abs(optimized_control), tlist)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "def propagate_opt(initial_state):\n", " return opt_result.optimized_objectives[0].propagate(\n", " tlist,\n", " propagator=krotov.propagators.DensityMatrixODEPropagator(),\n", " rho0=initial_state,\n", " ).states[-1]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:02:58.868647Z", "start_time": "2019-02-25T23:02:14.936799Z" }, "scrolled": true }, "outputs": [], "source": [ "opt_full_states_T = parallel_map(\n", " propagate_opt, values=full_liouville_basis,\n", ")" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:02:58.896708Z", "start_time": "2019-02-25T23:02:58.871957Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_avg = 0.977\n" ] } ], "source": [ "print(\"F_avg = %.3f\" % krotov.functionals.F_avg(opt_full_states_T, basis, gate))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def propagate_opt_for_expvals(initial_state):\n", " return opt_result.optimized_objectives[0].propagate(\n", " tlist,\n", " propagator=krotov.propagators.DensityMatrixODEPropagator(),\n", " rho0=initial_state,\n", " e_ops=[rho00, rho01, rho10, rho11]\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the population dynamics, we see the expected behavior for the $\\sqrt{\\text{iSWAP}}$ gate." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:03:10.592257Z", "start_time": "2019-02-25T23:02:58.910322Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_population_dynamics(\n", " *parallel_map(\n", " propagate_opt_for_expvals,\n", " values=[rho00, rho01, rho10, rho11],\n", " )\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2019-02-25T23:03:10.605138Z", "start_time": "2019-02-25T23:03:10.595818Z" } }, "outputs": [], "source": [ "def plot_convergence(result):\n", " fig, ax = plt.subplots()\n", " ax.semilogy(result.iters, result.info_vals)\n", " ax.set_xlabel('OCT iteration')\n", " ax.set_ylabel(r'optimization error $J_{T, re}$')\n", " plt.show(fig)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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