{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Periodic Driving\n", "In this example we want to efficiently implement a Spin Echo pulse using periodic driving by making use of the concatenation property of filter functions. We assume a control Hamiltonian of the form\n", "\n", "$$\n", " {H}_c = \\frac{\\omega_0}{2}\\sigma_z + A\\sin(\\omega_\\mathrm{d}t + \\phi)\\sigma_x\n", "$$\n", "\n", "and compute the filter function for a single period of the drive:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import time\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import qutip as qt\n", "\n", "import filter_functions as ff" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# use widget for interactive mode\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# We calculate with hbar == 1\n", "Delta = 0.0 # set detuning to zero\n", "omega_d = 20e9*2*np.pi\n", "omega_0 = omega_d + Delta\n", "# Phase shift; phi = 0 gives us a rotation about Y, phi = pi/2 about X\n", "phi = np.pi/2\n", "# Rabi frequency\n", "Omega_R = 1e6*2*np.pi\n", "A = np.sqrt(Omega_R**2 - Delta**2)\n", "T = 2*np.pi/omega_d\n", "\n", "t = np.linspace(0, T, 21)\n", "dt = np.diff(t)\n", "# Paulis\n", "X, Y, Z = ff.util.paulis[1:]\n", "\n", "H_c = [[Z, [omega_0/2]*len(dt), 'Z'],\n", " [X, A*np.sin(omega_d*t[1:] + phi), 'X']]\n", "H_n = [[Z, np.ones_like(dt), 'Z'],\n", " [X, np.ones_like(dt), 'X']]\n", "\n", "# Track the performance of the individual steps\n", "tic = []\n", "toc = []\n", "\n", "tic.append(time.perf_counter())\n", "X_ATOMIC = ff.PulseSequence(H_c, H_n, dt)\n", "toc.append(time.perf_counter())\n", "\n", "# We have to set the frequencies now, and since we plan to make a much longer\n", "# sequence than just a single period, we choose a much lower infrared cutoff \n", "# than we would for the single period.\n", "omega = np.geomspace(1e-8*omega_0, 1e2*omega_0, 500)\n", "\n", "# Cache the filter function for a single period of the drive to be able to\n", "# reuse it later.\n", "tic.append(time.perf_counter())\n", "X_ATOMIC.cache_filter_function(omega)\n", "toc.append(time.perf_counter())" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the pulse train for the drive only\n", "from filter_functions import plotting\n", "\n", "_ = plotting.plot_pulse_train(X_ATOMIC, c_oper_identifiers=['X'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Concatenating filter functions\n", "In order to achieve a rotation by $\\pi$ about the $x$-axis, we need to pulse for $t = \\frac{\\omega_\\mathrm{d}}{2\\Omega_R }T$, that is, repeat `X_ATOMIC` 10000 times:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from itertools import repeat\n", "\n", "tic.append(time.perf_counter())\n", "NOT_PERIODIC = ff.concatenate_periodic(X_ATOMIC, 10000)\n", "toc.append(time.perf_counter())\n", "\n", "tic.append(time.perf_counter())\n", "NOT_STANDARD = ff.concatenate(repeat(X_ATOMIC, 10000))\n", "toc.append(time.perf_counter())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check if the concatenated pulse actually does what we intended it to do by computing the overlap with the target propagator $U_t = \\sigma_x$ via the Hilbert-Schmidt inner product,\n", "\n", "$$\n", " \\frac{1}{d}\\left|\\langle Q, U_t\\rangle_\\mathrm{HS}\\right| = \\frac{1}{d}\\left|\\mathrm{tr}\\!\\left(Q^\\dagger U_t\\right)\\right|,\n", "$$\n", "\n", "where we take the absolute value since a global phase is of no interest." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Trace fidelity: 0.98766778476173\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Overlap between the target and actual propagators\n", "print('Trace fidelity: ', abs(ff.util.dot_HS(NOT_PERIODIC.total_propagator, qt.sigmax()))/2)\n", "# Plot the total propagator of NOT\n", "_ = qt.matrix_histogram(NOT_PERIODIC.total_propagator, bar_style='abs', color_style='phase')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we sandwich the $\\pi$-pulse between two periods of free evolution to get the filter function for the SE:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Since we do not apply any control, we can just use one very long time step\n", "dt = [1e-3] # 1 ms\n", "H_c = [[X, [0], 'X']]\n", "H_n = [[Z, np.ones_like(dt), 'Z'],\n", " [X, np.ones_like(dt), 'X']]\n", "\n", "WAIT = ff.PulseSequence(H_c, H_n, dt)\n", "\n", "# Get the total pulse. We can also use the @ operator for simple concatenation\n", "tic.append(time.perf_counter())\n", "ECHO = ff.concatenate((WAIT, NOT_PERIODIC, WAIT))\n", "toc.append(time.perf_counter())\n", "\n", "# Plot \n", "fig, ax, _ = plotting.plot_filter_function(ECHO, omega, yscale='log')\n", "ax.axvline(Omega_R*ECHO.tau, label=r'$\\Omega_R\\tau$', ls=':',\n", " color='tab:green')\n", "ax.axvline(omega_0*ECHO.tau, label=r'$\\omega_d\\tau$', ls='--',\n", " color='tab:green')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the $\\sigma_z$-filter function shows DC noise suppression. Notably, the filter function for $\\sigma_x$ has a dip at the Rabi frequency $\\Omega_\\mathrm{R}$ and a sharp peak at the drive/resonance frequency $\\omega_\\mathrm{d}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison to brute-force method\n", "To get an idea of the performance gain when using concatenation over brute force calculating the whole filter function in one go, we can run the latter calculation (takes about four minutes on relatively recent hardware):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d4e546fdb85e4e138a87163975c5880e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Calculating control matrix: 0%| | 0/200002 [00:00 t_p + t_r] = A_m/2*(1 + np.cos(np.pi*(t[t > t_p + t_r] - t_p - t_r)/t_f))\n", " return A\n", "\n", "\n", "A_m = omega_d / 4\n", "\n", "# https://journals.aps.org/pra/pdf/10.1103/PhysRevA.94.032323\n", "Omega_R_STRONG = np.sqrt((omega_d - omega_0*j0(2*A_m/omega_d))**2\n", " + omega_0**2*j1(2*A_m/omega_d)**2)\n", "\n", "# Disable rise and fall times for simplicity\n", "t_r = 0/omega_d\n", "t_p = 2*np.pi/Omega_R_STRONG/2\n", "t_f = 0/omega_d\n", "\n", "tau = t_r + t_p + t_f\n", "t = np.linspace(0, tau, 500)\n", "dt = np.diff(t)\n", "\n", "with warnings.catch_warnings():\n", " # Zero divison warning b/c rise and fall times are zero\n", " warnings.simplefilter('ignore')\n", " A = get_envelope(A_m, t_r, t_f, t)\n", "\n", "H_c = [[Z, [omega_0/2]*len(dt), 'Z'],\n", " [X, A[1:]*np.sin(omega_d*t[1:] + phi), 'X']]\n", "H_n = [[Z, np.ones_like(dt), 'Z'],\n", " [X, np.ones_like(dt), 'X']]\n", "\n", "omega_STRONG = np.geomspace(1e7, 1e13, 1004)\n", "NOT_STRONG = ff.PulseSequence(H_c, H_n, dt)\n", "NOT_STRONG.cache_control_matrix(omega_STRONG)\n", "ID20_STRONG = ff.concatenate_periodic(NOT_STRONG, 40)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inspecting the systematic (trace) fidelity of the $\\pi$ pulse, we can already see one of the difficulties arising for strong driving: timing precision. Whereas in the case of weak driving, the trace fidelity was relatively small due to numerical imprecision (because we wanted to keep the computation time in check), here the accuracy is limited by the pulse itself." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Trace fidelity: 0.997876097258005\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('Trace fidelity: ',\n", " abs(ff.util.dot_HS(NOT_STRONG.total_propagator, ff.util.paulis[1])) / 2)\n", "plotting.plot_pulse_train(NOT_STRONG, c_oper_identifiers=['X'],\n", " figsize=(5, 3))\n", "plotting.plot_bloch_vector_evolution(NOT_STRONG, add_cbar=True, figsize=(5, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now compare the filter functions of the continuous driving pulses." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(6, 6))\n", "\n", "_ = plotting.plot_filter_function(\n", " ID20_WEAK, omega_in_units_of_tau=False,\n", " xscale='log', yscale='log',\n", " fig=fig, axes=axes[0]\n", ")\n", "_ = plotting.plot_filter_function(\n", " ID20_STRONG, omega_in_units_of_tau=False,\n", " xscale='log', yscale='log',\n", " fig=fig, axes=axes[1]\n", ")\n", "\n", "# Some cosmetics\n", "for ax, reg, O in zip(axes, ('Weak', 'Strong'), (Omega_R, Omega_R_STRONG)):\n", " ax.axvline(O, ls=':', color='tab:grey',\n", " label=r'$\\Omega_R$', zorder=0)\n", " ax.axvline(omega_d, ls='--', color='tab:grey',\n", " label=r'$\\omega_0$', zorder=0)\n", " ax.tick_params(direction='in', which='both')\n", " ax.xaxis.set_ticks_position('both')\n", " ax.yaxis.set_ticks_position('both')\n", " ax.grid(False)\n", " ax.set_xlabel(r'$\\omega$ ($2\\pi$Hz)')\n", " ax.set_xlabel(r'$\\omega$ ($2\\pi$Hz)')\n", " ax.set_title(reg + ' driving regime')\n", " \n", "# Undo some things that plotting.plot_filter_function does\n", "axes[0].get_legend().set_visible(False)\n", "axes[0].set_xlabel('')\n", "# Redraw legend\n", "legend = axes[1].legend(loc='lower left', ncol=2, frameon=True, framealpha=1,\n", " bbox_to_anchor=(0, 0.05), fancybox=False)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A few things stand out here. First, notice that the DC level of the Z filter function $F_{zz}(\\omega)$ is five orders of magnitude smaller for strong driving, whereas that of $F_{xx}(\\omega)$ is comparable. Second, while the weak driving pulse cancels slow noise on both axes (the levelling out of the filter functions towards small frequencies is due to small numerical precision), the strong driving pulse does not (the levelling out is a real feature here). This can be understood by the fact that in the first case, the Bloch vector explores a large portion of the surface of the Bloch sphere during the pulse, thereby averaging over slow noise efficiently, whereas in the latter case this is not so. Lastly, we can see several resonances in the susceptibility. Both pulses expectedly showcase resonances at the driving frequency as well as their respective Rabi frequencies. However, the strong driving pulse also shows peaks at $\\omega=\\omega_0\\pm\\Omega_R$ in $F_{xx}(\\omega)$ as well as resonances in $F_{zz}(\\omega)$ at higher frequencies, a result of the strong coupling." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "1c82ffe0c0ad4fdd9e09fbf63a4bc487": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "251fbfc9a2ed47efb6ef36a1ce31cfbf": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "ProgressStyleModel", "state": { "description_width": "" } }, "293c8ba15def42e08fb54a2a3fbdf260": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "2e70fe46860946178349321ad0fed1df": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "41e25cf408554696ac043b373e1a7eda": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HTMLStyleModel", "state": { "description_width": "", "font_size": null, "text_color": null } }, "56fa7ddb3ac343a79bd23bce176cde6a": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "748cb443427b473cbf981736422b0649": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HTMLModel", "state": { "layout": "IPY_MODEL_56fa7ddb3ac343a79bd23bce176cde6a", "style": "IPY_MODEL_41e25cf408554696ac043b373e1a7eda", "value": " 200002/200002 [00:37<00:00, 5250.29it/s]" } }, "7bcaadb3f69d4f5eb911464ab5680ac3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "FloatProgressModel", "state": { "bar_style": "success", "layout": "IPY_MODEL_2e70fe46860946178349321ad0fed1df", "max": 200002, "style": "IPY_MODEL_251fbfc9a2ed47efb6ef36a1ce31cfbf", "value": 200002 } }, "c1090460399646afa7be4f491cc953ac": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HTMLModel", "state": { "layout": "IPY_MODEL_293c8ba15def42e08fb54a2a3fbdf260", "style": "IPY_MODEL_e8ccafbbf8aa4efbbd5c1af3b2124510", "value": "Calculating control matrix: 100%" } }, "d4e546fdb85e4e138a87163975c5880e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HBoxModel", "state": { "children": [ "IPY_MODEL_c1090460399646afa7be4f491cc953ac", "IPY_MODEL_7bcaadb3f69d4f5eb911464ab5680ac3", "IPY_MODEL_748cb443427b473cbf981736422b0649" ], "layout": "IPY_MODEL_1c82ffe0c0ad4fdd9e09fbf63a4bc487" } }, "e8ccafbbf8aa4efbbd5c1af3b2124510": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HTMLStyleModel", "state": { "description_width": "", "font_size": null, "text_color": null } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }