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 proceedingConference 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 languageEnglish
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages8209-8214
Number of pages6
Volume2005
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain
Duration: 2005 Dec 122005 Dec 15

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CountrySpain
CitySeville
Period05/12/1205/12/15

Fingerprint

Feedback control
Controllers
Control theory
Differential equations

ASJC Scopus subject areas

  • Engineering(all)

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 (Vol. 2005, pp. 8209-8214). [1583491] 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; Hara, Shinji.

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

Research output: Chapter in Book/Report/Conference proceedingConference 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. vol. 2005, 1583491, 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. Vol. 2005. 2005. p. 8209-8214. 1583491 https://doi.org/10.1109/CDC.2005.1583491
Yamamoto, Naoki ; Machida, Hiroshi ; Tsumura, Koji ; Hara, Shinji. / 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. Vol. 2005 2005. pp. 8209-8214
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