Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties
Abstract
This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian. The nominal system is a linear quantum system defined by a linear vector of coupling operators and a quadratic Hamiltonian. This paper extends previous results on the robust stability of nonlinear quantum systems to allow for quantum systems with dynamic uncertainties. These dynamic uncertainties are required to satisfy a certain quantum stochastic integral quadratic constraint. The robust stability condition is given in terms of a strict bounded real condition. This result is applied to the robust stability analysis of an optical parametric amplifier.
Keywords
Cite
@article{arxiv.1309.0576,
title = {Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties},
author = {Ian R. Petersen},
journal= {arXiv preprint arXiv:1309.0576},
year = {2016}
}
Comments
A shortened version is to appear in the proceedings of the 2013 IEEE Conference on Decision and Control