Robust Stability of Uncertain Quantum Systems
Quantum Physics
2015-06-04 v1 Systems and Control
Optimization and Control
Abstract
This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.
Cite
@article{arxiv.1203.2676,
title = {Robust Stability of Uncertain Quantum Systems},
author = {Ian R. Petersen and Valery Ugrinovskii and Matthew R. James},
journal= {arXiv preprint arXiv:1203.2676},
year = {2015}
}
Comments
A shortened version will appear in the Proceedings of the 2012 American Control Conference