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

Kentaro Ohki, Shinji Hara, Naoki Yamamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 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 languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages6260-6265
Number of pages6
DOIs
Publication statusPublished - 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 2011 Dec 122011 Dec 15

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period11/12/1211/12/15

Fingerprint

Quantum entanglement
Linear control systems
Quantum Entanglement
Control Problem
Assignment
Linear Systems
Equivalence
Quantum Systems
Quantum Control
Linear Control
Operator
Scalar

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

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

Proceedings of the IEEE Conference on Decision and Control. 2011. p. 6260-6265 6161514.

Research output: Chapter in Book/Report/Conference proceedingConference 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 Proceedings of the IEEE Conference on Decision and Control., 6161514, 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, Kentaro ; Hara, Shinji ; Yamamoto, Naoki. / On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment. Proceedings of the IEEE Conference on Decision and Control. 2011. pp. 6260-6265
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