© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

De Gruyter eBooks

Stochastic posterior equations for quantum nonlinear filtering

V. P. Belavkin

Published Dec 31, 1990• 4 citations

DOI: 10.1515/9783112314197-009

Related papers

A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems

Igor G. Vladimirov

Control Theory and Technology•Aug 1, 2017•2 citations

A posterior stochastic equation for quantum Brownian motion

V. P. Belavkin

Unknown eBooks•Dec 1, 1989•0 citations

Quantum stochastic calculus and quantum nonlinear filtering

V. P. Belavkin

arXiv:math/0512362•Journal of Multivariate Analysis•Aug 1, 1992•346 citations

Stochastic Positive Flows and Quantum Filtering Equations

V. P. Belavkin

Lecture notes in statistics•Jan 1, 1998•0 citations

Quantum-mechanical representations of nonlinear filtering and stochastic optimal control

Akira Ohsumi

Systems & Control Letters•Feb 1, 1989•3 citations

Filtering equation for measurement of a coherent channel

Anita Magdalena Dąbrowska, P. Staszewski

We propose a stochastic model for continuous photon counting and heterodyne measurement of a coherent source. A nonlinear filtering equation for the posterior state of a single-mode field in a cavity is derived by using the methods of the quantum stochastic calculus. The posterior dynamics is found for the observation of a Bose field being initially in a coherent state. The filtering equations for the counting and diffusion processes are given.

arXiv:1207.1196•Journal of the Optical Society of America B•Apr 25, 2011•3 citations