Feedback control of a non-Markovian single qubit system

Shibei Xue, Thien Nguyen, Ian R. Petersen

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

    Abstract

    In this paper, we utilize a feedback strategy to stabilize a single qubit in a non-Markovian environment with a Lorentzian spectrum. The non-Markovian single qubit is represented in an augmented system model, where an ancillary system is introduced as the internal mode of the environment to generate Lorentzian noise. The density matrix of the single qubit can be estimated by using an augmented-system-based quantum stochastic master equation. Then a feedback controller can be driven by the estimates to stabilize the qubit in a target state. Simulations show the feedback strategy can provide effective control of the non-Markovian single qubit.

    Original languageEnglish
    Title of host publication2017 Asian Control Conference, ASCC 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages807-811
    Number of pages5
    ISBN (Electronic)9781509015733
    DOIs
    Publication statusPublished - 7 Feb 2018
    Event2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia
    Duration: 17 Dec 201720 Dec 2017

    Publication series

    Name2017 Asian Control Conference, ASCC 2017
    Volume2018-January

    Conference

    Conference2017 11th Asian Control Conference, ASCC 2017
    Country/TerritoryAustralia
    CityGold Coast
    Period17/12/1720/12/17

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