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arXiv:2209.11709 · Automatica

Dissipative feedback switching for quantum stabilization

Weichao Liang, Tommaso Grigoletto, Francesco Ticozzi

Published Apr 24, 2024• 13 citations
arXivHTMLPDF
DOI
10.1016/j.automatica.2024.111659

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We consider a class of pure-state preparation problems for stochastic quantum dynamics, by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a Markovian environment. We prove that, whenever suitable dissipative effects are induced either by the unmonitored environment or by continuous-time measurements, open-loop time-invariant control is in principle sufficient to achieve stabilization of the target state (in probability). When this is not sufficient, we show that state stabilization can be attained for a wide class of models by the addition of a switching, filtering-based feedback control Hamiltonian.