Yamamoto, Naoki and Machida, Hiroshi and Tsumura, Koji and Hara, Shinji (2005) Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems. In: Proceedings of the 44th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 8209-8214. ISBN 0-7803-9567-0. https://resolver.caltech.edu/CaltechAUTHORS:20170517-164916330
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Abstract
A quantum state subject to a continuous measurement obeys a nonlinear stochastic differential equation called the stochastic master equation. In this paper, we utilize the technique of local reachability developed in control theory to characterize a class of the measurement and the controller in such a way that the local transition of the controlled quantum state is restricted to a low-dimensional manifold. We examine the proposed controller for single-spin systems with two typical measurements.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2005 IEEE. | |||||||||
| DOI: | 10.1109/CDC.2005.1583491 | |||||||||
| Record Number: | CaltechAUTHORS:20170517-164916330 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170517-164916330 | |||||||||
| Official Citation: | N. Yamamoto, H. Machida, K. Tsumura and S. Hara, "Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems," Proceedings of the 44th IEEE Conference on Decision and Control, 2005, pp. 8209-8214. doi: 10.1109/CDC.2005.1583491 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 77539 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 18 May 2017 16:31 | |||||||||
| Last Modified: | 15 Nov 2021 17:31 |
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