Quantum filter for a class of non-Markovian quantum systems

Shibei Xue, Matthew James, Alireza Shabani, Valery A Ugrinovskii, Ian Petersen

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

    Abstract

    In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.
    Original languageEnglish
    Title of host publication54th IEEE Conference on Decision and Control (CDC)
    EditorsC J Christopher and A Grastien
    Place of PublicationOnline
    PublisherIEEE
    Pages7096-7100pp
    EditionPeer Reviewed
    ISBN (Print)9781479978861
    Publication statusPublished - 2015
    Event54th Conference on Decision and Control, CDC 2015 - Osaka, Japan
    Duration: 1 Jan 2015 → …

    Conference

    Conference54th Conference on Decision and Control, CDC 2015
    Period1/01/15 → …
    OtherDecember 15-18 2015

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