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Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems

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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2005.1583491DOIArticle
http://ieeexplore.ieee.org/document/1583491/PublisherArticle
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: Kristin Buxton
Deposited On:18 May 2017 16:31
Last Modified:15 Nov 2021 17:31

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