Title :
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
fDate :
6/1/2005 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.849193
