On the preservation of commutation and anticommutation relations of n-level quantum systems

Luis A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii, M. R. James

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

    8 Citations (Scopus)

    Abstract

    The goal of this paper is to provide conditions under which a quantum stochastic differential equation (QSDE) preserves the commutation and anticommutation relations of the SU(n) algebra, and thus describes the evolution of an open n-level quantum system. One of the challenges in the approach lies in the handling of the so-called anomaly coefficients of SU(n). Then, it is shown that the physical realizability conditions recently developed by the authors for open n-level quantum systems also imply preservation of commutation and anticommutation relations.

    Original languageEnglish
    Title of host publication2013 American Control Conference, ACC 2013
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2539-2543
    Number of pages5
    ISBN (Print)9781479901777
    DOIs
    Publication statusPublished - 2013
    Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
    Duration: 17 Jun 201319 Jun 2013

    Publication series

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

    Conference

    Conference2013 1st American Control Conference, ACC 2013
    Country/TerritoryUnited States
    CityWashington, DC
    Period17/06/1319/06/13

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