Stabilization via feedback switching for quantum stochastic dynamics

• URL: http://arxiv.org/abs/2012.08712v2
• Date: Wed, 10 Feb 2021 14:14:52 GMT
• Title: Stabilization via feedback switching for quantum stochastic dynamics
• Authors: Tommaso Grigoletto and Francesco Ticozzi
• Abstract summary: 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 speed. We prove that the proposed closed-loop strategy makes the desired target globallyally stable both in mean and almost surely, and we show it compares favorably against a time-based and a state-based switching control law.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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