Control of Quantum Systems Despite Feedback Delay
Quantum Physics
2011-12-05 v2
Abstract
Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.
Cite
@article{arxiv.0709.1339,
title = {Control of Quantum Systems Despite Feedback Delay},
author = {Kenji Kashima and Naoki Yamamoto},
journal= {arXiv preprint arXiv:0709.1339},
year = {2011}
}
Comments
12 pages, 2 figures