Global stabilization of two-dimensional quantum spin systems despite estimation delay

Kenji Kashima, Kazunori Nishio

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    5 Citations (Scopus)

    Abstract

    In this paper, feedback control of quantum spin systems is investigated. The quantum control scenario follows the formalism of continuous quantum measurement and quantum state estimation using the so-called stochastic master equation. In quantum feedback control implementations the state estimation is delayed, which is known to degrade the resulting control performance. As yet there are no theoretical means to take such estimation delays into consideration. In this paper we derive a globally stabilizing control law for two-dimensional quantum spin systems taking estimation delays into explicit account. From a control theoretic viewpoint, the obtained result is a delay-dependent stability criterion for a nonlinear stochastic switching system.

    Original languageEnglish
    Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    Pages6352-6357
    Number of pages6
    DOIs
    Publication statusPublished - 2007 Dec 1
    Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
    Duration: 2007 Dec 122007 Dec 14

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0191-2216

    Other

    Other46th IEEE Conference on Decision and Control 2007, CDC
    CountryUnited States
    CityNew Orleans, LA
    Period07/12/1207/12/14

    ASJC Scopus subject areas

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

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  • Cite this

    Kashima, K., & Nishio, K. (2007). Global stabilization of two-dimensional quantum spin systems despite estimation delay. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 6352-6357). [4434611] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2007.4434611