Robust Quantum Optimal Control with Trajectory Optimization

• URL: http://arxiv.org/abs/2103.15716v1
• Date: Mon, 29 Mar 2021 15:58:16 GMT
• Title: Robust Quantum Optimal Control with Trajectory Optimization
• Authors: Thomas Propson, Brian E. Jackson, Jens Koch, Zachary Manchester, David I. Schuster
• Abstract summary: We propose a derivative-based approach to suppress gate errors arising from system parameter uncertainty. We employ a computationally efficient model and utilize time-optimal control to achieve high-fidelity gates in the presence of depolarization.
• Score: 5.042313273982193
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The ability to engineer high-fidelity gates on quantum processors in the presence of systematic errors remains the primary barrier to achieving quantum advantage. Quantum optimal control methods have proven effective in experimentally realizing high-fidelity gates, but they require exquisite calibration to be performant. We apply robust trajectory optimization techniques to suppress gate errors arising from system parameter uncertainty. We propose a derivative-based approach that maintains computational efficiency by using forward-mode differentiation. Additionally, the effect of depolarization on a gate is typically modeled by integrating the Lindblad master equation, which is computationally expensive. We employ a computationally efficient model and utilize time-optimal control to achieve high-fidelity gates in the presence of depolarization. We apply these techniques to a fluxonium qubit and suppress simulated gate errors due to parameter uncertainty below $10^{-7}$ for static parameter deviations on the order of $1\%$.

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