Robust Stability of Quantum Systems with a Nonlinear Coupling Operator

TL;DR

This paper establishes robust stability criteria for uncertain quantum systems with nonlinear coupling operators, including linear systems with nonlinear perturbations, using a scaled bounded real condition.

Contribution

It provides a general stability result for uncertain quantum systems and introduces a specific stability condition for linear systems with nonlinear perturbations.

Findings

Stability results for a class of uncertain quantum systems.

A scaled strict bounded real condition for linear quantum systems with nonlinear perturbations.

Robust stability criteria applicable to quantum control systems.

Abstract

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.