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.
 Publication:

arXiv eprints
 Pub Date:
 February 2004
 DOI:
 10.48550/arXiv.quantph/0402136
 arXiv:
 arXiv:quantph/0402136
 Bibcode:
 2004quant.ph..2136V
 Keywords:

 Quantum Physics;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 Mathematics  Optimization and Control
 EPrint:
 12 pages, 4 figures. Expanded discussion of quantum probability and filtering, added new results