Published April 27, 2007
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Journal Article
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Stabilizing Feedback Controls for Quantum Systems
- Creators
- Mirrahimi, Mazyar
- van Handel, Ramon
Abstract
No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is necessarily one with partial observations and can generally be converted into a completely observed control problem for an appropriate quantum filter as in classical stochastic control theory. Here we study the properties of controlled quantum filtering equations as classical stochastic differential equations. We then develop methods, using a combination of geometric control and classical probabilistic techniques, for global feedback stabilization of a class of quantum filters around a particular eigenstate of the measurement operator.
Additional Information
©2007 Society for Industrial and Applied Mathematics Received by the editors November 10, 2005; accepted for publication (in revised form) October 22, 2006; published electronically April 27, 2007. This work was supported by the ARO under grant DAAD19-03-1-0073. The authors thank Hideo Mabuchi and Houman Owhadi for helpful discussions.Files
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Additional details
- Eprint ID
- 8423
- Resolver ID
- CaltechAUTHORS:MIRsiamjco07
- Created
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2007-08-03Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field