## Filtering equation for measurement of a coherent channel |

JOSA B, Vol. 28, Issue 5, pp. 1238-1244 (2011)

http://dx.doi.org/10.1364/JOSAB.28.001238

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### Abstract

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.

© 2011 Optical Society of America

**OCIS Codes**

(000.5490) General : Probability theory, stochastic processes, and statistics

(270.0270) Quantum optics : Quantum optics

(270.2500) Quantum optics : Fluctuations, relaxations, and noise

(270.5290) Quantum optics : Photon statistics

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: September 28, 2010

Manuscript Accepted: February 23, 2011

Published: April 25, 2011

**Citation**

Anita Dąbrowska and Przemysław Staszewski, "Filtering equation for measurement of a coherent channel," J. Opt. Soc. Am. B **28**, 1238-1244 (2011)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-5-1238

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