On the duality of quantum filtering and optimal feedback control in quantum open linear dynamical systems

Author

Edwards, Simon C. ; Belavkin, Viacheslav P.

Author_Institution

Sch. of Math. Sci., Nottingham Univ., UK

Volume

3

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

768

Abstract

The multi-dimensional quality open linear dynamical system with observation and feedback along a quantum linear transmission line is studied in discrete time. The linear least squares filtering and optimal control strategies are obtained as quantum analogies of the Kalman filter and Bellman dynamical programming. The duality of quantum filtering and optimal feedback control is observed for this particular case.

Keywords

Hilbert spaces; Kalman filters; Riccati equations; dynamic programming; linear systems; measurement theory; optimal control; quantum noise; quantum theory; state feedback; Bellman dynamical programming; Heisenberg picture; Hilbert space; Kalman filter; discrete observation; duality; linear least squares filtering; matrix Riccati equation; optimal feedback control; quadratic cost; quantum filtering; quantum linear transmission line; quantum open linear dynamical systems; quantum white noises; symmetric conditional covariance; Control systems; Extraterrestrial measurements; Feedback control; Filtering; Hilbert space; Least squares methods; Linear systems; Nonlinear filters; Oscillators; Transmission line theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1237001

Filename

1237001