Optimal Quantum Filtering and Quantum Feedback Control
Quantum Physics
2007-05-23 v2
Abstract
Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement. Using a quantum noise model to describe the stochastic evolution of the open quantum system and working in parallel with classical indeterministic control theory, we present the theory of nonlinear optimal quantum feedback control. The resulting quantum Bellman equation is then applied to the explicitly solvable quantum linear-quadratic-Gaussian (LQG) problem which emphasizes many similarities with the corresponding classical control problem.
Cite
@article{arxiv.quant-ph/0506018,
title = {Optimal Quantum Filtering and Quantum Feedback Control},
author = {S. C. Edwards and V. P. Belavkin},
journal= {arXiv preprint arXiv:quant-ph/0506018},
year = {2007}
}
Comments
14 pages, extended introduction and free particle example included