• DocumentCode
    6218
  • Title

    The Gradient Flow for Control of Closed Quantum Systems

  • Author

    Ruixing Long ; Riviello, Gregory ; Rabitz, Hersch

  • Author_Institution
    Dept. of Chem., Princeton Univ., Princeton, NJ, USA
  • Volume
    58
  • Issue
    10
  • fYear
    2013
  • fDate
    Oct. 2013
  • Firstpage
    2665
  • Lastpage
    2669
  • Abstract
    The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.
  • Keywords
    asymptotic stability; closed loop systems; discrete systems; gradient methods; multidimensional systems; optimisation; asymptotic behavior; gradient flow; maximization problem; unite dimensional closed quantum system; Aerospace electronics; Controllability; Equations; Measurement; Optimal control; Space vehicles; Liouville-von Neumann equation; quantum control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2013.2256677
  • Filename
    6493400
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=6218