Sensitivity Bounds for Quantum Control and Time-Domain Performance Guarantees

Autor:	O'Neil, Sean Patrick, Jonckheere, Edmond, Schirmer, Sophie
Rok vydání:	2023
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	Control of quantum systems via time-varying external fields optimized to maximize a fidelity measure at a given time is a mainstay in modern quantum control. However, save for specific systems, current analysis techniques for such quantum controllers provide no analytical robustness guarantees. In this letter we provide analytical bounds on the differential sensitivity of the gate fidelity error to structured uncertainties for a closed quantum system controlled by piecewise-constant, optimal control fields. We additionally determine those uncertainty structures that result in this worst-case maximal sensitivity. We then use these differential sensitivity bounds to provide conditions that guarantee performance, quantified by the fidelity error, in the face of parameter uncertainty. Comment: 6 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.17094 Zobrazit plný text záznamu View this record from Arxiv