LQG feedback control of a class of linear non-Markovian quantum systems

Shibei Xue, Matthew R. James, Valery Ugrinovskii, Ian R. Petersen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    2 Citations (Scopus)

    Abstract

    In this paper we present a linear quadratic Gaussian (LQG) feedback control strategy for a class of linear non-Markovian quantum systems disturbed by Lorentzian noise. The feedback control law is designed based on the estimated dynamical variables of a whitening quantum filter for an augmented Markovian model of the non-Markovian quantum system. In this augmented Markovian model, an ancillary system plays the role of internal modes of the environment converting white noise into Lorentzian noise and a principal system obeys non-Markovian dynamics due to the direct interaction with the ancillary system. The simulation results show the LQG controller with the whitening filter obtains a better control performance than that with a Markovian filter in the problem of cooling the principal system when the ancillary system is driven by thermal noise.

    Original languageEnglish
    Title of host publication2016 American Control Conference, ACC 2016
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages4775-4778
    Number of pages4
    ISBN (Electronic)9781467386821
    DOIs
    Publication statusPublished - 28 Jul 2016
    Event2016 American Control Conference, ACC 2016 - Boston, United States
    Duration: 6 Jul 20168 Jul 2016

    Publication series

    NameProceedings of the American Control Conference
    Volume2016-July
    ISSN (Print)0743-1619

    Conference

    Conference2016 American Control Conference, ACC 2016
    Country/TerritoryUnited States
    CityBoston
    Period6/07/168/07/16

    Fingerprint

    Dive into the research topics of 'LQG feedback control of a class of linear non-Markovian quantum systems'. Together they form a unique fingerprint.

    Cite this