Nonlinear effect on quantum control for two-level systems
W. Wang, J. Shen, and X. X. Yi
TL;DR
This paper investigates how nonlinearity influences the controllability of two-level quantum systems and demonstrates that Lyapunov control can mitigate nonlinear-induced uncontrollability.
Contribution
It reveals the impact of nonlinearity on quantum control and proposes Lyapunov control as a solution to nonlinear-induced controllability issues.
Findings
Nonlinearity can alter the controllability of two-level quantum systems.
Lyapunov control can restore controllability in nonlinear quantum systems.
Nonlinear effects need to be considered in quantum control design.
Abstract
The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system. Furthermore, we demonstrate that the Lyapunov control can be used to overcome this uncontrollability induced by the nonlinear effect.
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