Robust stabilization of uncertain quantum open systems

We exploit how to overcome phase damping decoherence when the phase damping parameters are uncertain. It is shown that the “relaxed” control goal may be achieved by combing simple open-loop coherent control with periodic projective measurements. Both the sufficient conditions and constructive design procedures are presented. The control design is reduced to selecting the period of projective measurements and fidelity-truncated time based on two lower-bound functions for both probability and fidelity performance. When both probability and fidelity performances are specified, the stabilization time is further maximized by searching the “optimal” period of projective measurements. It is also exemplified that larger uncertainties may lead to shorter stabilization time for the given performance level.