Lyapunov stability analysis for invariant states of quantum systems

Muhammad F. Emzir, Ian R. Petersen, Matthew J. Woolley

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

    1 Citation (Scopus)

    Abstract

    In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use weak convergence, in this article we analyze the convergence of density operators by considering the set of density operators as a Banach space. We show that the set of invariant density operators is both closed and convex, which implies the impossibility of having multiple isolated invariant density operators. We then show how to analyze the stability of this set via a candidate Lyapunov operator.

    Original languageEnglish
    Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages5505-5510
    Number of pages6
    ISBN (Electronic)9781509028733
    DOIs
    Publication statusPublished - 28 Jun 2017
    Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
    Duration: 12 Dec 201715 Dec 2017

    Publication series

    Name2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
    Volume2018-January

    Conference

    Conference56th IEEE Annual Conference on Decision and Control, CDC 2017
    Country/TerritoryAustralia
    CityMelbourne
    Period12/12/1715/12/17

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