Feedback control of quantum entanglement in a two-spin system
- Creators
- Yamamoto, Naoki
- Tsumura, Koji
- Hara, Shinji
Abstract
A pair of spins is the most simple quantum system that can possess entanglement, a non-classical property playing an essential role in quantum information technologies. In this paper, feedback control problems of the two-spin system conditioned on a continuous measurement are considered. In order to make some useful formulas in stochastic control theory directly applicable, we first derive a two-dimensional description of the system. We then prove that a feedback controller stabilizes an entangled state of the two spins almost globally with probability one. Furthermore, it is shown that another entangled state, which corresponds to a non-equilibrium point of the dynamics, is stabilized via feedback in the sense that the expectation of the distance from the target can be made arbitrarily small.
Additional Information
© 2005 IEEE.Attached Files
Published - 01582651.pdf
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Additional details
- Eprint ID
- 77540
- Resolver ID
- CaltechAUTHORS:20170517-171411683
- Created
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2017-05-18Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field