Global feedback stabilization of quantum noiseless subsystems

Kazunori Nishio, Kenji Kashima, Jun Ichi Imura

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

    3 Citations (Scopus)

    Abstract

    In this paper, we investigate the state preparation problem of quantum noiselsss subsystems for the quantum Markovian systems via quantum feedback control. The controlled dynamics we consider are given by the so-called stochastic master equation including the coupling terms with the environment. We formulate the problem as a stochastic stabilization problem of an invariant set. This formulation allows us to utilize the stochastic Lyapunov technique and derive a globally stabilizing controller. The effectiveness of this method is evaluated by applying it to the 3-qubit systems subject to the collective noise.

    Original languageEnglish
    Title of host publication2009 American Control Conference, ACC 2009
    Pages1499-1504
    Number of pages6
    DOIs
    Publication statusPublished - 2009 Nov 24
    Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
    Duration: 2009 Jun 102009 Jun 12

    Publication series

    NameProceedings of the American Control Conference
    ISSN (Print)0743-1619

    Other

    Other2009 American Control Conference, ACC 2009
    CountryUnited States
    CitySt. Louis, MO
    Period09/6/1009/6/12

    Keywords

    • Quantum noiseless subsystems
    • Stochastic master equation
    • Stochastic stabilization problem

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

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