Stabilizing control of quantum systems with uncertainties

As compared to the fact that the control laws must be performed on the systems eventually, in the quantum control theory, most of the deliberately designed control laws and their guaranteed satisfactory performances are based on the models of the systems. Therefor, one natural and central problem is how to ensure the satisfactory performances of the designed control laws when they are being performed on the systems. In this paper, we will exhibit one simple yet efficient strategy, the separation principle, by focusing on a state stabilization problem. Specifically, one first designs the control strategy based on a model of the system, and then realizes the control laws to be performed on the real system by open-loop control technology to deal with the differences between the system and the established model. It will be shown that the quantum characteristics, measurement-induced-state-transfer and the tensor product structure of the coupling systems, play essential roles in the total control process.