Robust Quantum Optimal Control with Trajectory Optimization

Thomas Propson

doi:10.1103/PhysRevApplied.17.014036

Robust Quantum Optimal Control with Trajectory Optimization

2022-01-27

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DOI：10.1103/PhysRevApplied.17.014036

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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 of the order of 1%.

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Robust Quantum Optimal Control with Trajectory Optimization

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