• DocumentCode
    2149546
  • Title

    Controllability and diameter of single-input quantum systems

  • Author

    AgraChev, Andrei ; Chambrion, Thoamas

  • Author_Institution
    SISSA, Trieste, Italy
  • Volume
    3
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    720
  • Abstract
    Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.
  • Keywords
    Lie groups; controllability; geometry; quantum theory; Killing approximation; Lie group; Riemannian geometry; controllability; left invariant single-input control systems; quantum state; single-input quantum; Algebra; Control systems; Controllability; Differential algebraic equations; Geometry; Schrodinger equation; State estimation; Vents; Wave functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1236994
  • Filename
    1236994