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Published June 2005 | Published
Journal Article Open

Feedback control of quantum state reduction

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.

Additional Information

© 2005 IEEE. Reprinted with permission. Manuscript received February 20, 2004; revised December 15, 2004. Recommended by Associate Editor A. Garulli. This work was supported by the Army Research Office under Grant DAAD19-03-1-0073 and by the Caltech MURI Center for Quantum Networks under Grant DAAD19-00-1-0374. J. K. Stockton acknowledges a Hertz fellowship.

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