An efficient computational method for the optimal control of higher dimensional quantum systems

Srinivas Sridharan*, Mile Gu, Matthew R. James, William M. McEneaney

*Corresponding author for this work

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

    4 Citations (Scopus)

    Abstract

    The process of obtaining solutions to optimal control problems via mesh based techniques suffers from the well known problem of the curse of dimensionality. This issue is especially severe in quantum systems whose dimensions grow exponentially with the number of interacting elements (qubits) that they contain. In this article we develop a modification of recently introduced curse-of-dimensionality-free max-plus techniques, to the control of quantum systems. This method yields a more manageable growth that is related to the cardinality of the control set. Its efficacy is demonstrated by obtaining an approximate solution to a previously intractable problem on a 2 qubit system.

    Original languageEnglish
    Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2996-3001
    Number of pages6
    ISBN (Print)9781424477456
    DOIs
    Publication statusPublished - 2010
    Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
    Duration: 15 Dec 201017 Dec 2010

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference49th IEEE Conference on Decision and Control, CDC 2010
    Country/TerritoryUnited States
    CityAtlanta
    Period15/12/1017/12/10

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