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Feedback control of quantum entanglement in a two-spin system

Yamamoto, Naoki and Tsumura, Koji and Hara, Shinji (2005) Feedback control of quantum entanglement in a two-spin system. In: Proceedings of the 44th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 3182-3187. ISBN 0-7803-9567-0. https://resolver.caltech.edu/CaltechAUTHORS:20170517-171411683

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2005.1582651DOIArticle
http://ieeexplore.ieee.org/document/1582651/PublisherArticle
Additional Information:© 2005 IEEE.
DOI:10.1109/CDC.2005.1582651
Record Number:CaltechAUTHORS:20170517-171411683
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170517-171411683
Official Citation:N. Yamamoto, K. Tsumura and S. Hara, "Feedback control of quantum entanglement in a two-spin system," Proceedings of the 44th IEEE Conference on Decision and Control, 2005, pp. 3182-3187. doi: 10.1109/CDC.2005.1582651
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77540
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:18 May 2017 19:06
Last Modified:15 Nov 2021 17:31

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