• DocumentCode
    1418634
  • Title

    Constructive Decomposition of the Controllability Lie Algebra for Quantum Systems

  • Author

    D´Alessandro, Domenico

  • Author_Institution
    Dept. of Math., Iowa State Univ., Ames, IA, USA
  • Volume
    55
  • Issue
    6
  • fYear
    2010
  • fDate
    6/1/2010 12:00:00 AM
  • Firstpage
    1416
  • Lastpage
    1421
  • Abstract
    In this technical note, we show how to use the analysis of the controllability Lie algebra of a quantum mechanical system to study its dynamics and facilitate the design of controls. We give algorithms to decompose the dynamics and describe an example of application to two coupled spin 1/2´s.
  • Keywords
    Lie algebras; control system synthesis; discrete time systems; constructive decomposition; controllability lie algebra; quantum mechanical system; Computational algorithms; control of quantum mechanical systems; lie algebras;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2010.2043286
  • Filename
    5415549
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1418634