Quantum stochastic calculus and quantum nonlinear filtering

  title={Quantum stochastic calculus and quantum nonlinear filtering},
  author={V. Belavkin},
  journal={Journal of Multivariate Analysis},
  • V. Belavkin
  • Published 1992
  • Mathematics
  • Journal of Multivariate Analysis
A *-algebraic indefinite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an infinitely dimensional nuclear space. The class of nondemolition output QS processes in quantum open systems is characterized in terms of the QS calculus, and the problem of QS nonlinear filtering with respect to nondemolition, continuous measurements is investigated. The stochastic… Expand
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