Robust Quantum Optimal Control with Trajectory Optimization

Thomas Propson*, Brian E. Jackson, Jens Koch, Zachary Manchester, David I. Schuster

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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%.

Original languageEnglish (US)
Article number014036
JournalPhysical Review Applied
Issue number1
StatePublished - Jan 2022

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Robust Quantum Optimal Control with Trajectory Optimization'. Together they form a unique fingerprint.

Cite this