Environment-assisted and feedback-assisted stabilization of quantum stochastic evolutions

Francesco Ticozzi, Kazunori Nishio, Claudio Altafini

    Research output: Contribution to journalConference articlepeer-review

    Abstract

    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.

    Original languageEnglish
    Article number6426791
    Pages (from-to)3620-3625
    Number of pages6
    JournalProceedings of the IEEE Conference on Decision and Control
    DOIs
    Publication statusPublished - 2012 Dec 1
    Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
    Duration: 2012 Dec 102012 Dec 13

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Modelling and Simulation
    • Control and Optimization

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