Wiener filtering for passive linear quantum systems

V. Ugrinovskii, M. R. James

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

    3 Citations (Scopus)

    Abstract

    This paper considers a version of the Wiener filtering problem for equalization of passive linear quantum systems. We demonstrate that taking into consideration the quantum nature of the signals involved leads to features typically not encountered in classical equalization problems. Most significantly, finding a mean-square optimal quantum equalizing filter amounts to solving a nonconvex constrained optimization problem. We discuss two approaches to solving this problem, both involving a relaxation of the constraint. In both cases, unlike classical equalization, there is a threshold on the variance of the noise below which an improvement of the mean-square error cannot be guaranteed.

    Original languageEnglish
    Title of host publication2019 American Control Conference, ACC 2019
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages5372-5377
    Number of pages6
    ISBN (Electronic)9781538679265
    DOIs
    Publication statusPublished - Jul 2019
    Event2019 American Control Conference, ACC 2019 - Philadelphia, United States
    Duration: 10 Jul 201912 Jul 2019

    Publication series

    NameProceedings of the American Control Conference
    Volume2019-July
    ISSN (Print)0743-1619

    Conference

    Conference2019 American Control Conference, ACC 2019
    Country/TerritoryUnited States
    CityPhiladelphia
    Period10/07/1912/07/19

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