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
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;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428947