Feedback control of quantum state reduction
Quantum Physics
2007-05-23 v2 Mathematical Physics
math.MP
Optimization and Control
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.
Cite
@article{arxiv.quant-ph/0402136,
title = {Feedback control of quantum state reduction},
author = {Ramon van Handel and John K. Stockton and Hideo Mabuchi},
journal= {arXiv preprint arXiv:quant-ph/0402136},
year = {2007}
}
Comments
12 pages, 4 figures. Expanded discussion of quantum probability and filtering, added new results