Published March 2009
| Published
Journal Article
Open
The stability of quantum Markov filters
- Creators
- van Handel, Ramon
Abstract
When are quantum filters asymptotically independent of the initial state? We show that this is the case for absolutely continuous initial states when the quantum stochastic model satisfies an observability condition. When the initial system is finite dimensional, this condition can be verified explicitly in terms of a rank condition on the coefficients of the associated quantum stochastic differential equation.
Additional Information
© 2009 World Scientific Publishing Co. Received 29 July 2008. Communicated by V. Belavkin. This work was supported by the ARO under Grant W911NF-06-1-0378. AMSC numbers: 46L53, 81P15, 81S25, 81V80, 93B07, 93E11, 93E15Attached Files
Published - VanHandel2009p5568Infin._Dimens._Anal._Quantum_Probab._Relat._Top-a.pdf
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VanHandel2009p5568Infin._Dimens._Anal._Quantum_Probab._Relat._Top-a.pdf
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Additional details
- Eprint ID
- 15779
- Resolver ID
- CaltechAUTHORS:20090911-121542648
- W911NF-06-1-0378
- Army Research Office
- Created
-
2009-09-11Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field