Stabilization Via Feedback Switching for Quantum Stochastic Dynamics

Tommaso Grigoletto, Francesco Ticozzi · Padua Research Archive (University of Padova) · 2022

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with respect to the initial conditions. In particular, we prove that the proposed closed-loop strategy makes the desired target globally asymptotically stable both in mean and almost surely, and we show it compares favorably against a time-based and a state-based switching control law, with significant improvements in the case of faulty initialization.

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