Feedback control of quantum state reduction
van Handel, R.; Stockton, J.K.; Mabuchi, H.
Automatic Control, IEEE Transactions on
Volume 50, Issue 6, June 2005 Page(s): 768 - 780
Digital Object Identifier   10.1109/TAC.2005.849193
Summary: 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.

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