4.1 Article

Stabilization Via Feedback Switching for Quantum Stochastic Dynamics

Journal

IEEE CONTROL SYSTEMS LETTERS
Volume 6, Issue -, Pages 235-240

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2021.3065603

Keywords

Switches; Control systems; Lyapunov methods; Process control; Convergence; Time measurement; Quantum system; Quantum information and control; switched systems; stochastic systems

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This paper proposes a new method for pure-state and subspace preparation in quantum systems, which improves convergence speed and robustness by utilizing the output of a continuous measurement process and switching dissipative control.
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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