Feedback control of quantum state reduction

Details Feedback control of quantum state reduction Feedback control of quantum state reduction

2004-02-19

arxiv.org/abs/quant-ph/0402136v2

IEEE Trans. Automat. Control 50 (6), 768-780, 2005.

Physics

Quantum Physics

12 pages, 4 figures. Expanded discussion of quantum probability and filtering, added new results

Scientific paper

10.1109/TAC.2005.849193

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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