• DocumentCode
    434786
  • Title

    Pathwise solution of a class of quantum filtering equations

  • Author

    Kurniawan, Indra ; James, Matthew R.

  • Author_Institution
    Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia
  • Volume
    3
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    3121
  • Abstract
    The purpose of this paper is to apply Clark´s pathwise reformulation of the equations of nonlinear filtering to a class of filtering equations that arise in quantum physics. Specifically, we consider a class of stochastic master equations driven by white noise. We also derive Clark´s robust approximation and illustrate the ideas applying them to an imperfectly observed two-level atom continuously monitored by homodyne photodetection.
  • Keywords
    filtering theory; master equation; nonlinear filters; quantum theory; stochastic processes; white noise; homodyne photodetection; imperfectly observed two-level atom; pathwise solution; quantum filtering equations; quantum physics; robust approximation; stochastic master equations; white noise; Filtering; Integral equations; Monitoring; Nonlinear equations; Physics; Robustness; Sections; Stochastic processes; Stochastic resonance; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428947
  • Filename
    1428947