Effects of uncertainties and errors on Lyapunov control
X. X. Yi, B. Cui, Chunfeng Wu, and C. H. Oh
TL;DR
This paper investigates how uncertainties and errors impact the robustness of Lyapunov control in quantum systems, providing analytical insights and practical examples to understand their effects on control fidelity.
Contribution
It offers a systematic analysis of the robustness of Lyapunov control against uncertainties and errors in quantum control systems, including general formulations and illustrative examples.
Findings
Uncertainties and errors can significantly affect control fidelity.
The paper provides formulas to evaluate robustness under various uncertainties.
Illustrative examples demonstrate the practical implications of the analysis.
Abstract
Lyapunov control (open-loop) is often confronted with uncertainties and errors in practical applications. In this paper, we analyze the robustness of Lyapunov control against the uncertainties and errors in quantum control systems. The analysis is carried out through examinations of uncertainties and errors, calculations of the control fidelity under influences of the certainties and errors, as well as discussions on the caused effects. Two examples, a closed control system and an open control system, are presented to illustrate the general formulism.
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