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

Naoki Yamamoto; Hiroshi Machida; Koji Tsumura; Shinji Hara

doi:10.1109/CDC.2005.1583491

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

Naoki Yamamoto, Hiroshi Machida, Koji Tsumura, Shinji Hara

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	8209-8214
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583491
Publication status	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 2005 Dec 12 → 2005 Dec 15

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Other

Other	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	05/12/12 → 05/12/15

ASJC Scopus subject areas

Engineering(all)

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10.1109/CDC.2005.1583491

Cite this

Yamamoto, N., Machida, H., Tsumura, K., & Hara, S. (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, and the European Control Conference, CDC-ECC '05 (pp. 8209-8214). [1583491] (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583491

Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems. / Yamamoto, Naoki; Machida, Hiroshi; Tsumura, Koji et al.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 8209-8214 1583491 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yamamoto, N, Machida, H, Tsumura, K & Hara, S 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, and the European Control Conference, CDC-ECC '05., 1583491, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 8209-8214, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 05/12/12. https://doi.org/10.1109/CDC.2005.1583491

Yamamoto N, Machida H, Tsumura K, Hara S. 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, and the European Control Conference, CDC-ECC '05. 2005. p. 8209-8214. 1583491. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583491

Yamamoto, Naoki ; Machida, Hiroshi ; Tsumura, Koji et al. / 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, and the European Control Conference, CDC-ECC '05. 2005. pp. 8209-8214 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

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

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