Differential Evolution with Equally-Mixed Strategies for Robust Control of Open Quantum Systems

Robust control of open quantum systems from one state to another is much more difficult than closed quantum systems as a result of system-environment interactions. In this paper, we adopt the sampling-based learning control approach with the motivation of utilizing some artificial samples instead of unknown uncertainties to design an optimal control field against parameter fluctuations. To enhance the learning performance, we introduce an improved differential evolution (DE) algorithm with equally-mixed strategies in the training step of the control design for open quantum systems. Numerical results verify the effectiveness of the proposed equally-mixed strategies DE (EMSDE) algorithm regarding the control design for open quantum systems with uncertainties.