Feedback control of quantum state reduction

Author

Van Handel, Ramon ; Stockton, John K. ; Mabuchi, Hideo

Author_Institution

Depts. of Phys. & Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA

Volume

50

Issue

6

fYear

2005

fDate

6/1/2005 12:00:00 AM

Firstpage

768

Lastpage

780

Abstract

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

Keywords

Lyapunov methods; filtering theory; nonlinear control systems; quantum theory; spin systems; state feedback; stochastic systems; quantum feedback control; quantum filtering problem; quantum measurement; quantum mechanical systems; quantum spin systems; quantum state reduction; state feedback control problem; stochastic Lyapunov techniques; stochastic nonlinear control; Adaptive control; Feedback control; Filtering; Filters; Mechanical systems; Mechanical variables measurement; Quantum mechanics; State feedback; Stochastic processes; Stochastic systems; Lyapunov functions; quantum filtering; quantum mechanics; quantum probability; stochastic nonlinear control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.849193

Filename

1440563