Robustness Properties of a Class of Optimal Risk-Sensitive Controllers for Quantum Systems

Authors:	James Matthew, Australian National University, Australia Petersen Ian, University of New South Wales at ADFA, Australia
Topic:	1.4 Stochastic Systems
Session:	Control of Stochastic Systems
Keywords:	Quantum control, robust control, risk-sensitive stochasticcontrol.

Abstract

In this note we described the robustness properties of optimalrisk-sensitive controllers for quantum systems. We consider aquantum generalization of risk-sensitive criteria using theframework of James 2004. The robustness properties are derived byevaluating certain Radon-Nikodym derivatives of the quantum modelsand of the cost criteria. In addition to induced perturbations inthe quantum statistics, perturbations in the cost function areallowed---evidently a non-classical feature.