Stability of quantum Markov systems via Lyapunov methods in the Heisenberg picture

Yu Pan, Hadis Amini, Zibo Miao, John Gough, Valery Ugrinovskii, Matthew R. James

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

    Abstract

    Stability of quantum Markov systems is investigated in terms of stability of invariant states. Evolutions of a quantum system in the Heisenberg picture are considered which are modeled in terms of a quantum stochastic differential equation. Using a Markov operator semigroup associated with this quantum stochastic differential equation, we derive sufficient conditions for the existence and stability of a unique and faithful invariant quantum state. The conditions are formulated in terms of algebraic constraints suitable for engineering quantum systems to be used in coherent feedback networks. To derive these conditions, we use quantum analogues of the stochastic Lyapunov stability theory.

    Original languageEnglish
    Title of host publication2013 3rd Australian Control Conference, AUCC 2013
    Pages497-500
    Number of pages4
    DOIs
    Publication statusPublished - 2013
    Event2013 3rd Australian Control Conference, AUCC 2013 - Fremantle, WA, Australia
    Duration: 4 Nov 20135 Nov 2013

    Publication series

    Name2013 3rd Australian Control Conference, AUCC 2013

    Conference

    Conference2013 3rd Australian Control Conference, AUCC 2013
    Country/TerritoryAustralia
    CityFremantle, WA
    Period4/11/135/11/13

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