{ "cells": [ { "cell_type": "markdown", "id": "8c701d1e-a51f-4418-bc73-3318b073d08c", "metadata": {}, "source": [ "# Constructing Parity Phase Gates\n", "\n", "The parity phase gate, generated by a multi-qubit $Z$ interaction, can be written as\n", "\n", "$$\n", "U_n(\\theta) = e^{-i \\gamma Z_1 Z_2 \\cdots Z_n},\n", "$$\n", "\n", "where $\\gamma$ denotes the target phase.\n", "\n", "We express this operation in terms of the following primitive gates:\n", "\n", "- single-qubit $Z$ rotations, $R_Z(\\phi) = e^{-i \\frac{\\phi}{2} Z}$, and \n", "- $k$-qubit controlled-phase gates ($k \\ge 2$) acting on a subset $S = \\{i_1,\\dots,i_k\\}$,\n", " $$\n", " \\mathrm{CP}^{(k)}_S(\\phi)=\\exp\\!\\left(i \\phi \\, |1\\cdots1\\rangle\\langle 1\\cdots1|_S\\right).\n", " $$\n", "This formulation enables the use of built-in tools in RydOpt to design optimal pulse sequences for implementing the parity gate.\n", "\n", "The construction is based on expressing Pauli-$Z$ operators in terms of projectors onto the computational basis state $|1\\rangle$. Using\n", "\n", "$$\n", "|1\\rangle\\langle 1| = \\frac{1}{2}(I - Z),\n", "$$\n", "\n", "A Pauli-$Z$ string can be written as\n", "\n", "$$\n", "Z_1 Z_2 \\cdots Z_n=\\prod_{i=1}^{n} (I - 2 P_i),\\qquad P_i = |1\\rangle\\langle 1|_i.\n", "$$\n", "\n", "Expanding this product yields\n", "\n", "$$\n", "Z_1 \\cdots Z_n=\\sum_{k=0}^{n}(-1)^k 2^k\n", "\\sum_{\\substack{S \\subseteq \\{1,\\dots,n\\} \\\\ |S| = k}}P_S,\\qquad P_S = |1\\cdots1\\rangle\\langle1\\cdots1|_S,\n", "$$\n", "\n", "which, upon exponentiation, decomposes into a product of commuting phase gates: single-qubit $R_Z$ rotations from the $k=1$ terms and $k$-qubit controlled-phase gates for $k \\ge 2$.\n", "\n", "For a general $n$-qubit parity operator, the resulting decomposition is\n", "\n", "$$\n", "\\begin{aligned}\n", "U_n(\\theta)\n", "&=\n", "\\prod_{i=1}^{n} R_Z^{(i)}(-2\\gamma)\n", "\\\\\n", "&\\quad\\times\n", "\\prod_{k=2}^{n}\n", "\\prod_{\\substack{S \\subseteq \\{1,\\dots,n\\} \\\\ |S| = k}}\n", "\\mathrm{CP}^{(k)}_S\\!\\left(\n", "(-1)^k 2^k \\gamma\n", "\\right).\n", "\\end{aligned}\n", "$$\n", "\n", "As a concrete example, for $n=3$,\n", "\n", "$$\n", "\\begin{aligned}\n", "e^{-i \\gamma Z_1 Z_2 Z_3}\n", "&=\n", "R_Z^{(1)}(-2\\gamma)\\,\n", "R_Z^{(2)}(-2\\gamma)\\,\n", "R_Z^{(3)}(-2\\gamma)\n", "\\\\\n", "&\\quad\\times\n", "\\mathrm{CP}_{12}(4\\gamma)\\,\n", "\\mathrm{CP}_{13}(4\\gamma)\\,\n", "\\mathrm{CP}_{23}(4\\gamma)\n", "\\\\\n", "&\\quad\\times\n", "\\mathrm{CP}_{123}(-8\\gamma).\n", "\\end{aligned}\n", "$$\n", "\n", "The coefficients ($-2, 4, -8, \\dots$) arise from the powers of two in the projector expansion and exhibit an alternating sign structure.\n", "Interestingly, at the special value $\\gamma=\\pi/4$, corresponding to the maximally entangling parity phase gate, all controlled-phase gates acting on three or more qubits acquire phases that are integer multiples of $2\\pi$ and thus reduce to identities. As a result, $U_n(\\pi/4)$ can be realized entirely using single-qubit $R_Z$ gates and two-qubit $\\mathrm{CP}(\\pi)=\\mathrm{CZ}$ gates. In contrast, any deviation from $\\gamma=\\pi/4$ necessarily reintroduces genuine many-body controlled-phase interactions." ] }, { "cell_type": "markdown", "id": "d72c6327-284b-4164-a279-08dea525d0c0", "metadata": {}, "source": [ "## Fixed–Target-Phase Optimization of the Parity Gate\n", "\n", "We seek the shortest-duration pulse that implements a three-atom parity gate in the strong Rydberg blockade regime, using a fixed set of 10 pulse parameters. To this end, we carry out multiple random initializations of the pulse parameters, optimize each candidate pulse, and select the fastest one that achieves a gate fidelity exceeding the target threshold." ] }, { "cell_type": "markdown", "id": "b3c39db8-16a7-41ba-b062-b70e112fd798", "metadata": {}, "source": [ "First, we create the target gate object. The Rydberg decay strength is set to $10^{-4}$, and we assume uniform interaction strengths between atoms, $V_{nn} = V_{nnn} = 32$." ] }, { "cell_type": "code", "execution_count": 1, "id": "9154c85c-6db4-428d-ba37-1557d2956285", "metadata": {}, "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\n", "\n", "phase = np.pi / 4\n", "gate = ro.gates.ThreeQubitGateIsosceles(\n", " phi=None,\n", " theta=4 * phase,\n", " theta_prime=4 * phase,\n", " lamb=-8 * phase,\n", " Vnn=32,\n", " Vnnn=32,\n", " decay=0.0001,\n", ")" ] }, { "cell_type": "markdown", "id": "a60a6c4a-cd21-4f39-8805-7cb337be52f5", "metadata": {}, "source": [ "Next, we create the pulse ansatz and specify upper and lower bounds for the random initialization of pulse parameters." ] }, { "cell_type": "code", "execution_count": 2, "id": "274bb93d-8aa8-4c77-a922-5531e2b3c78e", "metadata": {}, "outputs": [], "source": [ "# Pulse ansatz: constant detuning, sweep of the laser phase according to sin_crab ansatz\n", "n_params = 12\n", "pulse_ansatz = ro.pulses.SinglePhotonPulseAnsatz(\n", " detuning_ansatz=ro.pulses.Const(), phase_ansatz=ro.pulses.SinCrab(n_params)\n", ")\n", "\n", "# Bounds for the initial pulse parameter guesses\n", "min_initial_params = ro.pulses.PulseParams(15, [-1], -2 * np.ones(n_params), [])\n", "max_initial_params = ro.pulses.PulseParams(20, [1], 2 * np.ones(n_params), [])" ] }, { "cell_type": "markdown", "id": "4b57cafd-1343-40cf-833c-468176d6f75d", "metadata": {}, "source": [ "Perform 800 random parameter initializations, running in parallel on 4 CPU cores." ] }, { "cell_type": "code", "execution_count": 3, "id": "e7207097-27ae-46e7-81c1-ef6ee528a2c1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Started optimization using 4 processes\n", "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "04faf174df264273b6bb66e156331ea5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc00: 0%| | 0/100 [00:00 infidelity = 8.786351e-04\n", "PulseParams(\n", " duration = [20.71079392],\n", " detuning_params = [-0.1509117],\n", " phase_params = [ 0.97312533, 0.86651396, -0.58884901, 1.71954182, 1.78016487, -0.71903126, -1.21707987,\n", " -0.21997073, 0.05350197, -0.07214252, -0.78337956, 1.40456329],\n", " rabi_params = []\n", ")\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=100,\n", " tol=1e-8,\n", " num_initializations=100,\n", " num_processes=4,\n", " return_history=True,\n", " return_all=True,\n", ")" ] }, { "cell_type": "markdown", "id": "018ff922-d6d9-449a-8a6b-066b434fdb89", "metadata": {}, "source": [ "We plot the history of all optimization runs;" ] }, { "cell_type": "code", "execution_count": 4, "id": "9b07115f-b619-498b-affb-6c8ad7f05ea2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ro.characterization.plot_optimization_history(opt_result);" ] }, { "cell_type": "markdown", "id": "8cea2cdc-bcb3-4bbe-9bfd-b6913337a5a8", "metadata": {}, "source": [ "Also, we analyze the best performing gate;" ] }, { "cell_type": "code", "execution_count": 5, "id": "93ef3b34-3849-4d70-9de8-a50a5ae0496d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gate infidelity: 8.7864e-04\n", "Gate infidelity (no decay): 7.5724e-06\n", "Rydberg time: 8.7149\n" ] } ], "source": [ "optimized_params = opt_result.params[0]\n", "\n", "infidelity, infidelity_nodecay, ryd_time = ro.characterization.analyze_gate(\n", " gate,\n", " pulse_ansatz,\n", " optimized_params,\n", " tol=1e-8,\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}\")" ] }, { "cell_type": "markdown", "id": "ac90dfea-6b2d-4a7f-9956-f08d38b815ae", "metadata": {}, "source": [ "Finally, we plot the optimal pulse and its spectrum." ] }, { "cell_type": "code", "execution_count": 6, "id": "3f7f223e-bbd4-453b-a4c2-52bce1ad267a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ro.characterization.plot_spectrum(pulse_ansatz, optimized_params)\n", "fig, ax = ro.characterization.plot_pulse(pulse_ansatz, optimized_params)" ] }, { "cell_type": "markdown", "id": "ea77f172-ae4a-44b9-8694-e8256332ed39", "metadata": {}, "source": [ "## Parity gate family" ] }, { "cell_type": "markdown", "id": "41e3507a-9d17-45af-9309-85b3c0d39348", "metadata": {}, "source": [ "Here, we aim to optimize the parity gate over a range of target gate phases. To this end, we express the trainable parameters of the laser phase ansatz as polynomial functions of $\\theta=4\\gamma$. We begin by defining a gate family with a list of target phases and a corresponding pulse family using a polynomial map. Duration and other pulse parameters can be treated analogously by assigning them nonzero polynomial degrees." ] }, { "cell_type": "code", "execution_count": null, "id": "d200d614-9345-4318-bd2f-67cb5d749744", "metadata": {}, "outputs": [], "source": [ "target_phases = np.linspace(0.05, 0.25, 5) * np.pi\n", "\n", "sampled_gates = [\n", " ro.gates.ThreeQubitGateIsosceles(\n", " phi=None,\n", " theta=4 * phase,\n", " theta_prime=4 * phase,\n", " lamb=-8 * phase,\n", " Vnn=32,\n", " Vnnn=32,\n", " decay=0.0001,\n", " )\n", " for phase in target_phases\n", "]\n", "\n", "gate_family = ro.gates.GateFamily(\n", " fixed_argument_gates=sampled_gates,\n", " argument_values=target_phases,\n", ")\n", "\n", "\n", "# Family pulse ansatz (pulse ansatze + polynomial mapping)\n", "degrees = [1, 0, 3, 0]\n", "pulse_mal = ro.pulses.PolynomialPulseMap(degrees=degrees)\n", "pulse_family = ro.pulses.PulseFamilyAnsatz(\n", " detuning_ansatz=ro.pulses.Const(),\n", " phase_ansatz=ro.pulses.SinCrab(n_params),\n", " pulse_map=pulse_mal,\n", ")" ] }, { "cell_type": "markdown", "id": "2942af05-ee96-4ecb-9e09-c2d6f537095a", "metadata": {}, "source": [ "With all components in place, we proceed to the optimization stage. We then assess the individual properties of each optimal pulse in the pulse family and visualize them." ] }, { "cell_type": "code", "execution_count": null, "id": "62115542-0367-4a8c-82fe-5d87b24533ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Started optimization using 4 processes\n", "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "13e4ec1465db4904a9f24b5ce1ecfad2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "proc02: 0%| | 0/150 [00:00 infidelity = 2.732546e-03\n", "PulseFamilyParams(\n", " duration_params = [12.84145951, 34.47266429],\n", " detuning_params = [-0.05502751],\n", " phase_params = [[-5.47386302e-01, -2.29527937e+00, -1.58147493e+00, -3.15964634e+00],\n", " [ 6.77653106e-03, -3.33171846e-02, 1.87366803e+00, 8.05054874e-01],\n", " [-6.73267840e-01, -3.07006390e+00, -2.10001072e+00, -2.29809882e+00],\n", " [ 6.45083313e-01, -3.82129397e+00, -5.50096907e+00, -4.37885098e+00],\n", " [-1.85643027e+00, -1.56008148e+00, -2.18351522e+00, -2.53363948e+00],\n", " [ 1.69460568e+00, -1.83068212e+00, -1.54980447e+00, -5.69337972e+00],\n", " [-2.73743996e+00, 6.78249197e-01, -2.94002464e-03, -1.05033156e+00],\n", " [ 2.42528651e-01, -3.35988491e+00, -1.41548146e+00, -4.81971892e+00],\n", " [-3.86351009e-01, -2.85876933e-01, -1.06333581e-01, -1.61964379e+00],\n", " [-5.05386413e-01, 1.70948026e+00, 3.53570634e+00, 2.55074031e+00],\n", " [ 4.90904401e-01, 6.65822663e-01, 9.46753687e-01, 2.17052155e-01],\n", " [-1.27182955e-01, 2.23905222e+00, 3.03157212e+00, 5.24091678e+00]],\n", " rabi_params = []\n", ")\n", "\n", "=== Performance analysis of the best/fastest optimized gate pulse ===\n", "\n", "Target phase: 0.05\n", "Gate infidelity: 3.2741e-03\n", "Gate infidelity (no decay): 2.7420e-03\n", "Rydberg time: 5.3374\n", "\n", "Target phase: 0.10\n", "Gate infidelity: 9.4576e-04\n", "Gate infidelity (no decay): 3.9159e-04\n", "Rydberg time: 5.5464\n", "\n", "Target phase: 0.15\n", "Gate infidelity: 3.0473e-03\n", "Gate infidelity (no decay): 2.4631e-03\n", "Rydberg time: 5.8609\n", "\n", "Target phase: 0.20\n", "Gate infidelity: 2.5053e-03\n", "Gate infidelity (no decay): 1.8813e-03\n", "Rydberg time: 6.2547\n", "\n", "Target phase: 0.25\n", "Gate infidelity: 3.8902e-03\n", "Gate infidelity (no decay): 3.2233e-03\n", "Rydberg time: 6.6996\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "min_initial_params = ro.pulses.PulseFamilyParams(\n", " [10.0, *[0.0] * degrees[0]],\n", " -1.0 * np.ones(degrees[1] + 1),\n", " -2 * np.ones((n_params, degrees[2] + 1)),\n", " [],\n", ")\n", "\n", "max_initial_params = ro.pulses.PulseFamilyParams(\n", " [20.0, *[34.0] * degrees[0]],\n", " 1.0 * np.ones(degrees[1] + 1),\n", " 2 * np.ones((n_params, degrees[2] + 1)),\n", " [],\n", ")\n", "\n", "opt_result_gate_family = ro.optimization.multi_start_optimize(\n", " gate_family,\n", " pulse_family,\n", " min_initial_params,\n", " max_initial_params,\n", " tol=1e-8,\n", " num_initializations=200,\n", " num_steps=150,\n", " num_processes=4,\n", " return_history=False,\n", ")\n", "\n", "optimized_params_gate_family = opt_result_gate_family.params\n", "\n", "# Print the gate family performance measures\n", "print(\"\\n=== Performance analysis of the best/fastest optimized gate pulse ===\\n\")\n", "pulse = pulse_family.pulse_ansatz\n", "for gate, value in zip(gate_family.gates, gate_family.argument_values):\n", " params = pulse_family.generate_pulse_params(optimized_params_gate_family, value)\n", " infidelity, infidelity_nodecay, ryd_time = ro.characterization.analyze_gate(\n", " gate,\n", " pulse,\n", " params,\n", " tol=1e-8,\n", " )\n", " print(f\"Target phase: {value / np.pi:.2f}\")\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}\\n\")\n", "\n", "\n", "# plot the optimal pulse family\n", "ro.characterization.plot_pulse_family(\n", " pulse_family,\n", " optimized_params_gate_family,\n", " gate_family,\n", " plot_detuning=False,\n", " plot_rabi=False,\n", ");" ] } ], "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }