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arXiv · 2012.08712

Stabilization via feedback switching for quantum stochastic dynamics

Tommaso Grigoletto·Francesco Ticozzi
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Abstract

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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Tommaso Grigoletto, Francesco Ticozzi. 2020-12-16. Stabilization via feedback switching for quantum stochastic dynamics. https://doi.org/10.1109/lcsys.2021.3065603

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