• DocumentCode
    404393
  • Title

    Quantum Markovian master equation driven by coherent controls: a controllability analysis

  • Author

    Altafini, Claudio

  • Author_Institution
    Int. Sch. for Adv. Studies, SISSA, Trieste, Italy
  • Volume
    1
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    411
  • Abstract
    The behavior of a coherently driven finite dimensional open quantum system (in the Markovian approximation) is studied from a control theoretical perspective. The irreversible character of such a system is formalized by showing that it can be accessible but neither small-time controllable nor controllable in finite time. When the generators of quantum dynamical semigroups are unital, then the reachable sets admit easy characterizations as they monotonically grow in time.
  • Keywords
    Markov processes; controllability; master equation; multidimensional systems; Markovian approximation; coherent controls; finite dimensional open quantum system; quantum Markovian master equation; quantum dynamical semigroups; small time controllability; Character generation; Control system analysis; Control systems; Control theory; Controllability; Equations; H infinity control; Purification; Quantum mechanics; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272597
  • Filename
    1272597