Quantum control theory and applications: a survey

Author

Dong, Dianbiao ; Petersen, Ian R.

Author_Institution

Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia

Volume

4

Issue

12

fYear

2010

fDate

12/1/2010 12:00:00 AM

Firstpage

2651

Lastpage

2671

Abstract

This study presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are reviewed. In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design strategies including optimal control, Lyapunov-based methodologies, variable structure control and quantum incoherent control. In the area of closed-loop quantum control, this study reviews closed-loop learning control and several important issues related to quantum feedback control including quantum filtering, feedback stabilisation, linear-quadratic-Gaussian control and robust quantum control.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; controllability; discrete systems; feedback; linear quadratic Gaussian control; open loop systems; optimal control; variable structure systems; Lyapunov based methodologies; closed-loop control; control design; control systems; controllability; feedback stabilisation; linear-quadratic-Gaussian control; open-loop control; optimal control; quantum control theory; quantum feedback control; quantum filtering; quantum incoherent control; robust quantum control; variable structure control;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2009.0508

Filename

5676677