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arXiv · 1309.0576

Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties

Ian R. Petersen
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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.

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Ian R. Petersen. 2013-09-03. Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties. https://doi.org/10.1109/cdc.2013.6760165

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