{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimization of a Dissipative Quantum Gate" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:16.962109Z", "start_time": "2020-03-21T21:31:16.947553Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:06.492235Z", "iopub.status.busy": "2021-11-07T04:52:06.491886Z", "iopub.status.idle": "2021-11-07T04:52:07.417437Z", "shell.execute_reply": "2021-11-07T04:52:07.416911Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python implementation: CPython\n", "Python version : 3.8.1\n", "IPython version : 7.24.1\n", "\n", "numpy : 1.20.3\n", "sys : 3.8.1 (default, Aug 12 2020, 19:33:59) \n", "[GCC 8.3.0]\n", "krotov : 1.2.1+dev\n", "scipy : 1.6.3\n", "matplotlib: 3.4.2\n", "qutip : 4.6.1\n", "\n" ] } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "%load_ext watermark\n", "import sys\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 (`parallel_map`/`multiprocessing`). Unfortunately, on Windows (and macOS with Python >= 3.8), `multiprocessing` 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 can use the third-party [loky](https://loky.readthedocs.io/) library to fix this, but this significantly increases the overhead of multi-process parallelization. The use of parallelization here is for illustration only and makes no guarantee of actually improving the runtime of the optimization." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:18.977589Z", "start_time": "2020-03-21T21:31:18.972131Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.420706Z", "iopub.status.busy": "2021-11-07T04:52:07.420261Z", "iopub.status.idle": "2021-11-07T04:52:07.422578Z", "shell.execute_reply": "2021-11-07T04:52:07.422126Z" } }, "outputs": [], "source": [ "if sys.platform != 'linux':\n", " krotov.parallelization.set_parallelization(use_loky=True)\n", "from krotov.parallelization 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": "2020-03-21T21:31:20.746226Z", "start_time": "2020-03-21T21:31:20.724436Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.429269Z", "iopub.status.busy": "2021-11-07T04:52:07.428811Z", "iopub.status.idle": "2021-11-07T04:52:07.431064Z", "shell.execute_reply": "2021-11-07T04:52:07.430604Z" }, "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": "2020-03-21T21:31:22.101320Z", "start_time": "2020-03-21T21:31:22.096718Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.433991Z", "iopub.status.busy": "2021-11-07T04:52:07.433547Z", "iopub.status.idle": "2021-11-07T04:52:07.435619Z", "shell.execute_reply": "2021-11-07T04:52:07.435163Z" } }, "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": "2020-03-21T21:31:24.070838Z", "start_time": "2020-03-21T21:31:24.057786Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.439388Z", "iopub.status.busy": "2021-11-07T04:52:07.438933Z", "iopub.status.idle": "2021-11-07T04:52:07.440777Z", "shell.execute_reply": "2021-11-07T04:52:07.441128Z" } }, "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": "2020-03-21T21:31:24.971025Z", "start_time": "2020-03-21T21:31:24.964035Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.444099Z", "iopub.status.busy": "2021-11-07T04:52:07.443656Z", "iopub.status.idle": "2021-11-07T04:52:07.445806Z", "shell.execute_reply": "2021-11-07T04:52:07.445349Z" } }, "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": "2020-03-21T21:31:26.260377Z", "start_time": "2020-03-21T21:31:26.257115Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.448453Z", "iopub.status.busy": "2021-11-07T04:52:07.448010Z", "iopub.status.idle": "2021-11-07T04:52:07.450155Z", "shell.execute_reply": "2021-11-07T04:52:07.449700Z" } }, "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": "2020-03-21T21:31:27.293109Z", "start_time": "2020-03-21T21:31:27.288042Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.453230Z", "iopub.status.busy": "2021-11-07T04:52:07.452787Z", "iopub.status.idle": "2021-11-07T04:52:07.454878Z", "shell.execute_reply": "2021-11-07T04:52:07.454495Z" } }, "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": "2020-03-21T21:31:28.065018Z", "start_time": "2020-03-21T21:31:28.060909Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.457560Z", "iopub.status.busy": "2021-11-07T04:52:07.457118Z", "iopub.status.idle": "2021-11-07T04:52:07.459319Z", "shell.execute_reply": "2021-11-07T04:52:07.458924Z" } }, "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": "2020-03-21T21:31:29.256425Z", "start_time": "2020-03-21T21:31:29.232057Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.467512Z", "iopub.status.busy": "2021-11-07T04:52:07.467065Z", "iopub.status.idle": "2021-11-07T04:52:07.470963Z", "shell.execute_reply": "2021-11-07T04:52:07.471311Z" } }, "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": "2020-03-21T21:31:30.676783Z", "start_time": "2020-03-21T21:31:30.666954Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.475135Z", "iopub.status.busy": "2021-11-07T04:52:07.474677Z", "iopub.status.idle": "2021-11-07T04:52:07.476785Z", "shell.execute_reply": "2021-11-07T04:52:07.476408Z" } }, "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": "2020-03-21T21:31:32.331454Z", "start_time": "2020-03-21T21:31:32.090987Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.490564Z", "iopub.status.busy": "2021-11-07T04:52:07.490113Z", "iopub.status.idle": "2021-11-07T04:52:07.600573Z", "shell.execute_reply": "2021-11-07T04:52:07.600258Z" } }, "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": "2020-03-21T21:31:33.941041Z", "start_time": "2020-03-21T21:31:33.930103Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.603608Z", "iopub.status.busy": "2021-11-07T04:52:07.603314Z", "iopub.status.idle": "2021-11-07T04:52:07.604961Z", "shell.execute_reply": "2021-11-07T04:52:07.604661Z" } }, "outputs": [], "source": [ "SQRTISWAP = qutip.Qobj(np.array(\n", " [[1, 0, 0, 0],\n", " [0, 1 / np.sqrt(2), 1j / np.sqrt(2), 0],\n", " [0, 1j / np.sqrt(2), 1 / np.sqrt(2), 0],\n", " [0, 0, 0, 1]]),\n", " dims=[[2, 2], [2, 2]]\n", ")" ] }, { "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": 14, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:35.466561Z", "start_time": "2020-03-21T21:31:35.459426Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.608233Z", "iopub.status.busy": "2021-11-07T04:52:07.607939Z", "iopub.status.idle": "2021-11-07T04:52:07.609213Z", "shell.execute_reply": "2021-11-07T04:52:07.609443Z" } }, "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": 15, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:36.676350Z", "start_time": "2020-03-21T21:31:36.671546Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.611725Z", "iopub.status.busy": "2021-11-07T04:52:07.611431Z", "iopub.status.idle": "2021-11-07T04:52:07.613092Z", "shell.execute_reply": "2021-11-07T04:52:07.612796Z" } }, "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": 16, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:38.635739Z", "start_time": "2020-03-21T21:31:38.576793Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.629733Z", "iopub.status.busy": "2021-11-07T04:52:07.629403Z", "iopub.status.idle": "2021-11-07T04:52:07.631556Z", "shell.execute_reply": "2021-11-07T04:52:07.631255Z" } }, "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": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "objectives = krotov.gate_objectives(\n", " basis,\n", " SQRTISWAP,\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": 17, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:41.265578Z", "start_time": "2020-03-21T21:31:41.254299Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.635059Z", "iopub.status.busy": "2021-11-07T04:52:07.634667Z", "iopub.status.idle": "2021-11-07T04:52:07.636330Z", "shell.execute_reply": "2021-11-07T04:52:07.636033Z" } }, "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": 18, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:31:42.549432Z", "start_time": "2020-03-21T21:31:42.544173Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.638388Z", "iopub.status.busy": "2021-11-07T04:52:07.638094Z", "iopub.status.idle": "2021-11-07T04:52:07.639394Z", "shell.execute_reply": "2021-11-07T04:52:07.639628Z" } }, "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": 19, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:05.817207Z", "start_time": "2020-03-21T21:31:43.260810Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:07.643256Z", "iopub.status.busy": "2021-11-07T04:52:07.642957Z", "iopub.status.idle": "2021-11-07T04:52:14.690599Z", "shell.execute_reply": "2021-11-07T04:52:14.689944Z" }, "scrolled": true }, "outputs": [], "source": [ "full_states_T = parallel_map(\n", " propagate_guess, values=full_liouville_basis,\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:06.535034Z", "start_time": "2020-03-21T21:32:06.511175Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:14.703198Z", "iopub.status.busy": "2021-11-07T04:52:14.702738Z", "iopub.status.idle": "2021-11-07T04:52:14.706383Z", "shell.execute_reply": "2021-11-07T04:52:14.706947Z" } }, "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, SQRTISWAP))" ] }, { "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": 21, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:18.392304Z", "start_time": "2020-03-21T21:32:18.385960Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:14.709580Z", "iopub.status.busy": "2021-11-07T04:52:14.708789Z", "iopub.status.idle": "2021-11-07T04:52:14.713108Z", "shell.execute_reply": "2021-11-07T04:52:14.713650Z" } }, "outputs": [], "source": [ "rho00, rho01, rho10, rho11 = [qutip.ket2dm(psi) for psi in basis]" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:19.327664Z", "start_time": "2020-03-21T21:32:19.323843Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:14.716163Z", "iopub.status.busy": "2021-11-07T04:52:14.715364Z", "iopub.status.idle": "2021-11-07T04:52:14.719421Z", "shell.execute_reply": "2021-11-07T04:52:14.719966Z" } }, "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": 23, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:20.186981Z", "start_time": "2020-03-21T21:32:20.180098Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:14.722908Z", "iopub.status.busy": "2021-11-07T04:52:14.721620Z", "iopub.status.idle": "2021-11-07T04:52:14.730168Z", "shell.execute_reply": "2021-11-07T04:52:14.730747Z" } }, "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": 24, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:31.162618Z", "start_time": "2020-03-21T21:32:20.943081Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:14.733846Z", "iopub.status.busy": "2021-11-07T04:52:14.732489Z", "iopub.status.idle": "2021-11-07T04:52:19.660006Z", "shell.execute_reply": "2021-11-07T04:52:19.659688Z" }, "scrolled": false }, "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_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": 25, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:32:41.075191Z", "start_time": "2020-03-21T21:32:41.070283Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:19.662792Z", "iopub.status.busy": "2021-11-07T04:52:19.662447Z", "iopub.status.idle": "2021-11-07T04:52:19.664156Z", "shell.execute_reply": "2021-11-07T04:52:19.663854Z" } }, "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": 26, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:36.838199Z", "start_time": "2020-03-21T21:32:50.996511Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:52:19.678857Z", "iopub.status.busy": "2021-11-07T04:52:19.667077Z", "iopub.status.idle": "2021-11-07T04:53:48.547828Z", "shell.execute_reply": "2021-11-07T04:53:48.547556Z" } }, "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 2.34e-02 9.83e-02 -4.67e-02 -2.33e-02 26\n", "2 7.41e-02 4.06e-04 7.45e-02 -8.12e-04 -4.06e-04 26\n", "3 7.33e-02 3.78e-04 7.37e-02 -7.55e-04 -3.77e-04 26\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": 27, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:37.834869Z", "start_time": "2020-03-21T21:34:37.817889Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.550650Z", "iopub.status.busy": "2021-11-07T04:53:48.550312Z", "iopub.status.idle": "2021-11-07T04:53:48.571777Z", "shell.execute_reply": "2021-11-07T04:53:48.571185Z" } }, "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": 28, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:38.627427Z", "start_time": "2020-03-21T21:34:38.622364Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.575614Z", "iopub.status.busy": "2021-11-07T04:53:48.575130Z", "iopub.status.idle": "2021-11-07T04:53:48.578044Z", "shell.execute_reply": "2021-11-07T04:53:48.577551Z" } }, "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": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization result" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:47.080150Z", "start_time": "2020-03-21T21:34:47.074533Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.581078Z", "iopub.status.busy": "2021-11-07T04:53:48.580595Z", "iopub.status.idle": "2021-11-07T04:53:48.582446Z", "shell.execute_reply": "2021-11-07T04:53:48.582848Z" } }, "outputs": [], "source": [ "optimized_control = opt_result.optimized_controls[0] + 1j * opt_result.optimized_controls[1]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:48.292586Z", "start_time": "2020-03-21T21:34:48.073785Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.615120Z", "iopub.status.busy": "2021-11-07T04:53:48.614757Z", "iopub.status.idle": "2021-11-07T04:53:48.675589Z", "shell.execute_reply": "2021-11-07T04:53:48.675272Z" } }, "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": 31, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:34:49.044243Z", "start_time": "2020-03-21T21:34:49.038956Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.677857Z", "iopub.status.busy": "2021-11-07T04:53:48.677558Z", "iopub.status.idle": "2021-11-07T04:53:48.679234Z", "shell.execute_reply": "2021-11-07T04:53:48.678927Z" } }, "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": 32, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:24.484838Z", "start_time": "2020-03-21T21:34:49.807447Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:48.681438Z", "iopub.status.busy": "2021-11-07T04:53:48.681137Z", "iopub.status.idle": "2021-11-07T04:53:57.854630Z", "shell.execute_reply": "2021-11-07T04:53:57.854100Z" }, "scrolled": true }, "outputs": [], "source": [ "opt_full_states_T = parallel_map(\n", " propagate_opt, values=full_liouville_basis,\n", ")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:25.589609Z", "start_time": "2020-03-21T21:35:25.571194Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:57.868040Z", "iopub.status.busy": "2021-11-07T04:53:57.867574Z", "iopub.status.idle": "2021-11-07T04:53:57.870533Z", "shell.execute_reply": "2021-11-07T04:53:57.871128Z" } }, "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, SQRTISWAP))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:26.706411Z", "start_time": "2020-03-21T21:35:26.698539Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:57.873682Z", "iopub.status.busy": "2021-11-07T04:53:57.872851Z", "iopub.status.idle": "2021-11-07T04:53:57.876895Z", "shell.execute_reply": "2021-11-07T04:53:57.877445Z" } }, "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": 35, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:40.155906Z", "start_time": "2020-03-21T21:35:27.831020Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:53:57.880169Z", "iopub.status.busy": "2021-11-07T04:53:57.879365Z", "iopub.status.idle": "2021-11-07T04:54:03.026098Z", "shell.execute_reply": "2021-11-07T04:54:03.026354Z" } }, "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": 36, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:41.366138Z", "start_time": "2020-03-21T21:35:41.361375Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:54:03.028988Z", "iopub.status.busy": "2021-11-07T04:54:03.028693Z", "iopub.status.idle": "2021-11-07T04:54:03.030382Z", "shell.execute_reply": "2021-11-07T04:54:03.030079Z" } }, "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": 37, "metadata": { "ExecuteTime": { "end_time": "2020-03-21T21:35:43.293889Z", "start_time": "2020-03-21T21:35:42.567254Z" }, "execution": { "iopub.execute_input": "2021-11-07T04:54:03.039640Z", "iopub.status.busy": "2021-11-07T04:54:03.039346Z", "iopub.status.idle": "2021-11-07T04:54:03.663576Z", "shell.execute_reply": "2021-11-07T04:54:03.663317Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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