Feedback design for quantum state manipulation by measurements

Shuangshuang Fu, Guodong Shi, Alexandre Proutiere, Matthew R. James

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

    Abstract

    In this paper, we propose feedback designs for manipulating a quantum state to a target state by performing sequential measurements. In light of Belavkin's quantum feedback control theory, for a given set of (projective or non-projective) measurements and a given time horizon, we show that finding the measurement selection policy that maximizes the successful manipulation is an optimal control problem for a controlled Markovian process. The optimal policy is Markovian and can be solved by dynamical programming. Numerical examples indicate that making use of feedback information significantly improves the success probability compared to classical scheme without taking feedback.

    Original languageEnglish
    Title of host publicationACC 2015 - 2015 American Control Conference
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages104-107
    Number of pages4
    ISBN (Electronic)9781479986842
    DOIs
    Publication statusPublished - 28 Jul 2015
    Event2015 American Control Conference, ACC 2015 - Chicago, United States
    Duration: 1 Jul 20153 Jul 2015

    Publication series

    NameProceedings of the American Control Conference
    Volume2015-July
    ISSN (Print)0743-1619

    Conference

    Conference2015 American Control Conference, ACC 2015
    Country/TerritoryUnited States
    CityChicago
    Period1/07/153/07/15

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