{ "cells": [ { "cell_type": "markdown", "id": "857f092f3515fbfe", "metadata": {}, "source": [ "# Time-Optimal Gate" ] }, { "cell_type": "markdown", "id": "397716a51832b254", "metadata": {}, "source": [ "First, we aim to find the fastest possible pulse realizing a CZ gate on two atoms in the perfect Rydberg blockade regime (for a fixed number of 4 pulse parameters).\n", "For this, we perform many random initializations of pulse parameters, optimize the pulses, and identify the fastest pulse that realizes the gate with a fidelity better than our target fidelity." ] }, { "cell_type": "code", "execution_count": 1, "id": "37daea967b398b01", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:35.279012Z", "start_time": "2025-11-29T18:04:35.276815Z" } }, "outputs": [], "source": [ "# %pip install -q --progress-bar off rydopt # Uncomment for installation on Colab\n", "\n", "import rydopt as ro\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "d711cafcedca7f0c", "metadata": {}, "source": [ "First, we create the target gate object and the pulse ansatz. The Rydberg decay strength is set to zero." ] }, { "cell_type": "code", "execution_count": null, "id": "fd10f9af04709273", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:35.287052Z", "start_time": "2025-11-29T18:04:35.285399Z" } }, "outputs": [], "source": [ "gate = ro.gates.TwoQubitGate(phi=None, theta=np.pi, Vnn=float(\"inf\"), decay=0.0)\n", "pulse_ansatz = ro.pulses.PulseAnsatz(\n", " detuning_ansatz=ro.pulses.Const(), phase_ansatz=ro.pulses.SinCrab(2)\n", ")" ] }, { "cell_type": "markdown", "id": "5f8cba8670a0f149", "metadata": {}, "source": [ "Then we specify upper and lower bounds for the random initialization of pulse parameters." ] }, { "cell_type": "code", "execution_count": null, "id": "54ff17c4efc63143", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:35.293165Z", "start_time": "2025-11-29T18:04:35.291547Z" } }, "outputs": [], "source": [ "min_initial_params = ro.pulses.PulseParams(1, [-1], [-1, -1], [])\n", "max_initial_params = ro.pulses.PulseParams(15, [1], [1, 1], [])" ] }, { "cell_type": "markdown", "id": "1dabdc75e606e084", "metadata": {}, "source": [ "We perform 60 random parameter initializations, running in parallel on 4 CPU cores. We decide to return the optimization history of all runs." ] }, { "cell_type": "code", "execution_count": 4, "id": "41f98b513b1d99bc", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:42.752145Z", "start_time": "2025-11-29T18:04:35.296757Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Started optimization using 4 processes\n", "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b9711a271d5246a8948346aa9b1a49dc", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d6ce31f36d154873ae4dc6b140331519", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "292d68a5540c4153af640d99addd66b7", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "45f4b36f65d842a1a134ea92d4f652ec", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Optimization finished using multi-start Adam ===\n", "\n", "Runtime: 28.725 seconds\n", "Gates with infidelity below tol=1.0e-08: 37\n", "\n", "Slowest gate:\n", "> infidelity <= tol\n", "> parameters = (16.655961125100387, [0.35633379], [ 0.08006122 -1.30342051], [])\n", "> duration = 16.655961125100387\n", "\n", "Fastest gate:\n", "> infidelity <= tol\n", "> parameters = (7.611413531684982, [0.07764845], [1.75254238 0.61844757], [])\n", "> duration = 7.611413531684982\n", "> one-sided bootstrap error on duration: 0.0004\n" ] } ], "source": [ "opt_result = ro.optimization.multi_start_optimize(\n", " gate,\n", " pulse_ansatz,\n", " min_initial_params,\n", " max_initial_params,\n", " num_steps=300,\n", " tol=1e-8,\n", " num_initializations=60,\n", " num_processes=4,\n", " return_history=True,\n", " return_all=True,\n", ")" ] }, { "cell_type": "markdown", "id": "d9b0d9fa06ac7512", "metadata": {}, "source": [ "Finally, we plot the history of all optimization runs." ] }, { "cell_type": "code", "execution_count": 5, "id": "4d96e74e952a7d0f", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:42.862975Z", "start_time": "2025-11-29T18:04:42.770599Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ro.characterization.plot_optimization_history(opt_result);" ] }, { "cell_type": "markdown", "id": "ab5ea35378cdda6b", "metadata": {}, "source": [ "Now, we aim to find a gate pulse that minimizes the Rydberg time for a CZ gate on two atoms in the perfect Rydberg blockade regime (for a fixed number of 4 pulse parameters).\n", "Again, we perform many random initializations of pulse parameters, optimize the pulses in the presence of Rydberg-state decay, and identify the pulse that performs best." ] }, { "cell_type": "markdown", "id": "fc5a6d4e95daceea", "metadata": {}, "source": [ "Specify the target gate *with* decay" ] }, { "cell_type": "code", "execution_count": 6, "id": "a520891b95aab7a3", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:42.868676Z", "start_time": "2025-11-29T18:04:42.866874Z" } }, "outputs": [], "source": [ "gate_with_decay = ro.gates.TwoQubitGate(\n", " phi=None, theta=np.pi, Vnn=float(\"inf\"), decay=0.0001\n", ")" ] }, { "cell_type": "markdown", "id": "3502f32390a8f9c3", "metadata": {}, "source": [ "Perform 60 random parameter initializations, running in parallel on 4 CPU cores." ] }, { "cell_type": "code", "execution_count": 7, "id": "e65de2739e6cbb7a", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:04:59.962826Z", "start_time": "2025-11-29T18:04:42.876351Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Started optimization using 4 processes\n", "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "adfae77882a145b7bd7726c12d981b63", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e8daf77a0cbd4ceabca3fdbaa95da9b3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e9d07f72573e4ee797cb07040c310bc5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6ec7b47438ef43c2a8ffb019986e4c5e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc0" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Optimization finished using multi-start Adam ===\n", "\n", "Runtime: 31.390 seconds\n", "Gates with infidelity below tol=1.0e-08: 0\n", "\n", "Best gate:\n", "> infidelity = 2.937532e-04\n", "> parameters = (7.6995993881854226, [0.11585392], [0.17406893 0.8953095 ], [])\n", "> duration = 7.6995993881854226\n" ] } ], "source": [ "opt_result_with_decay = ro.optimization.multi_start_optimize(\n", " gate_with_decay,\n", " pulse_ansatz,\n", " min_initial_params,\n", " max_initial_params,\n", " num_steps=300,\n", " tol=1e-8,\n", " num_initializations=60,\n", " num_processes=4,\n", ")" ] }, { "cell_type": "markdown", "id": "7d0885a1a8d18645", "metadata": {}, "source": [ "Finally, we analyze the best performing gate." ] }, { "cell_type": "code", "execution_count": 8, "id": "2691a58bc666c223", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T18:05:00.646047Z", "start_time": "2025-11-29T18:04:59.980049Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gate infidelity: 2.9375e-04\n", "Gate infidelity (no decay): 4.3007e-09\n", "Rydberg time: 2.9380\n" ] } ], "source": [ "optimized_params_with_decay = opt_result_with_decay.params\n", "infidelity, infidelity_nodecay, ryd_time = ro.characterization.analyze_gate(\n", " gate_with_decay, pulse_ansatz, optimized_params_with_decay\n", ")\n", "\n", "print(f\"Gate infidelity: {infidelity:.4e}\")\n", "print(f\"Gate infidelity (no decay): {infidelity_nodecay:.4e}\")\n", "print(f\"Rydberg time: {ryd_time:.4f}\")" ] } ], "metadata": { "kernelspec": { "display_name": "rydopt (3.14.3)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.3" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "010fcce769244156a1e46bf7e7499e90": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "05884abd30e941228595976f4163191e": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": { "display": "inline-flex", "flex_flow": "row wrap", "width": "100%" } }, "07241a2d3b6a423d89f94fbbd0bcb1b6": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, 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