Robust Stability of Uncertain Quantum Systems

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.

A shortened version will appear in the Proceedings of the 2012 American Control Conference

References in corpus (3)

• Coherent quantum LQG control
• Linear Quantum Feedback Networks
• Avoiding entanglement sudden-death via measurement feedback control in a quantum network

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• Coherent Robust H-Infinity Control of Uncertain Linear Quantum Stochastic Systems
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