Stabilization via feedback switching for quantum stochastic dynamics

Fuente: arXiv
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Auteurs principaux: Grigoletto, Tommaso, Ticozzi, Francesco
Format: Preprint
Publié: 2020
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author Grigoletto, Tommaso
Ticozzi, Francesco
author_facet Grigoletto, Tommaso
Ticozzi, Francesco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2012_08712
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Stabilization via feedback switching for quantum stochastic dynamics
Grigoletto, Tommaso
Ticozzi, Francesco
Quantum Physics
Optimization and 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.
title Stabilization via feedback switching for quantum stochastic dynamics
topic Quantum Physics
Optimization and Control
url https://arxiv.org/abs/2012.08712