On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment

Kentaro Ohki; Shinji Hara; Naoki Yamamoto

doi:10.1109/CDC.2011.6161514

On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment

Kentaro Ohki, Shinji Hara, Naoki Yamamoto

Department of Applied Physics and Physico-Informatics

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

4 Citations (Scopus)

Abstract

In this paper we consider general linear quantum systems with operator-valued variables. It is shown that a specific but fairly wide class of linear quantum control problems have exactly the same solutions to the corresponding classical one obtained simply by replacing the operator variables by the scalar variables. Based on this result, an application of the so-called covariance assignment control to the quantum system is given, which is a suitable approach for controlling quantum entanglement.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6260-6265
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161514
Publication status	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 2011 Dec 12 → 2011 Dec 15

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	11/12/12 → 11/12/15

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2011.6161514

Cite this

Ohki, K., Hara, S., & Yamamoto, N. (2011). On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 6260-6265). [6161514] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161514

On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. / Ohki, Kentaro; Hara, Shinji; Yamamoto, Naoki.

2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 6260-6265 6161514 (Proceedings of the IEEE Conference on Decision and Control).

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

Ohki, K, Hara, S & Yamamoto, N 2011, On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161514, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6260-6265, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 11/12/12. https://doi.org/10.1109/CDC.2011.6161514

Ohki K, Hara S, Yamamoto N. On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 6260-6265. 6161514. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161514

Ohki, Kentaro ; Hara, Shinji ; Yamamoto, Naoki. / On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 6260-6265 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{bf314d3f5b8b40ff82a588d2dba1a8d1,

title = "On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment",

abstract = "In this paper we consider general linear quantum systems with operator-valued variables. It is shown that a specific but fairly wide class of linear quantum control problems have exactly the same solutions to the corresponding classical one obtained simply by replacing the operator variables by the scalar variables. Based on this result, an application of the so-called covariance assignment control to the quantum system is given, which is a suitable approach for controlling quantum entanglement.",

author = "Kentaro Ohki and Shinji Hara and Naoki Yamamoto",

year = "2011",

doi = "10.1109/CDC.2011.6161514",

language = "English",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "6260--6265",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

}

TY - GEN

T1 - On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment

AU - Ohki, Kentaro

AU - Hara, Shinji

AU - Yamamoto, Naoki

PY - 2011

Y1 - 2011

N2 - In this paper we consider general linear quantum systems with operator-valued variables. It is shown that a specific but fairly wide class of linear quantum control problems have exactly the same solutions to the corresponding classical one obtained simply by replacing the operator variables by the scalar variables. Based on this result, an application of the so-called covariance assignment control to the quantum system is given, which is a suitable approach for controlling quantum entanglement.

AB - In this paper we consider general linear quantum systems with operator-valued variables. It is shown that a specific but fairly wide class of linear quantum control problems have exactly the same solutions to the corresponding classical one obtained simply by replacing the operator variables by the scalar variables. Based on this result, an application of the so-called covariance assignment control to the quantum system is given, which is a suitable approach for controlling quantum entanglement.

UR - http://www.scopus.com/inward/record.url?scp=84860672194&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860672194&partnerID=8YFLogxK

U2 - 10.1109/CDC.2011.6161514

DO - 10.1109/CDC.2011.6161514

M3 - Conference contribution

AN - SCOPUS:84860672194

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 6260

EP - 6265

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this