Quantum filter for a non-Markovian single qubit system

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

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

    4 Citations (Scopus)

    Abstract

    In this paper, a quantum filter for estimating the states of a non-Markovian qubit system is presented in an augmented Markovian system framework including both the qubit system of interest and multi-ancillary systems for representing the internal modes of the non-Markovian environment. The colored noise generated by the multi-ancillary systems disturbs the qubit system via a direct interaction. The resulting non-Markovian dynamics of the qubit is determined by a memory kernel function arising from the dynamics of the ancillary system. In principle, colored noise with arbitrary power spectrum can be generated by a combination of Lorentzian noises. Hence, the quantum filter can be constructed for the qubit disturbed by arbitrary colored noise and the conditional state of the qubit system can be obtained by tracing out the multi-ancillary systems.

    Original languageEnglish
    Title of host publication2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages19-23
    Number of pages5
    ISBN (Electronic)9781479977871
    DOIs
    Publication statusPublished - 4 Nov 2015
    EventIEEE Conference on Control and Applications, CCA 2015 - Sydney, Australia
    Duration: 21 Sept 201523 Sept 2015

    Publication series

    Name2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

    Conference

    ConferenceIEEE Conference on Control and Applications, CCA 2015
    Country/TerritoryAustralia
    CitySydney
    Period21/09/1523/09/15

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