@inproceedings{51e177d8e2204afa8817fdfc8e394bfb,
title = "A phase-space formulation of the Belavkin-Kushner-Stratonovich filtering equation for nonlinear quantum stochastic systems",
abstract = "This paper is concerned with a filtering problem for a class of nonlinear quantum stochastic systems with multichannel nondemolition measurements. The system-observation dynamics are governed by a Markovian Hudson-Parthasarathy quantum stochastic differential equation driven by quantum Wiener processes of bosonic fields in vacuum state. The Hamiltonian and system-field coupling operators, as functions of the system variables, are represented in a Weyl quantization form. Using the Wigner-Moyal phase-space framework, we obtain a stochastic integro-differential equation for the posterior quasi-characteristic function (QCF) of the system conditioned on the measurements. This equation is a spatial Fourier domain representation of the Belavkin-Kushner- Stratonovich stochastic master equation driven by the innovation process associated with the measurements. We also discuss a more specific form of the posterior QCF dynamics in the case of linear system-field coupling and outline a Gaussian approximation of the posterior quantum state.",
author = "Vladimirov, \{Igor G.\}",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016 ; Conference date: 13-07-2016 Through 16-07-2016",
year = "2016",
month = aug,
day = "18",
doi = "10.1109/NORBERT.2016.7547465",
language = "English",
series = "2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "84--89",
booktitle = "2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016",
address = "United States",
}