Feedback control of quantum state reduction

2004/02/29 by Ramon van Handel, John K. Stockton, Hideo Mabuchi · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP #math.OC

paper · pdf · doi:10.1109/tac.2005.849193

published as IEEE Trans. Automat. Control 50 (6), 768-780, 2005. · 12 pages, 4 figures. Expanded discussion of quantum probability and filtering, added new results

arxiv created 2004/12/14 · arxiv updated 2009/12/01

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.

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