Robust Stability of Uncertain Quantum Systems

TL;DR

This paper investigates the robust stability of uncertain quantum systems with unknown Hamiltonian perturbations, providing general stability results and specific conditions for linear quantum systems with quadratic or non-quadratic perturbations.

Contribution

It introduces new stability criteria for uncertain quantum systems, including linear cases with bounded real conditions, advancing the understanding of quantum system robustness.

Findings

General stability results for various perturbations

Robust stability conditions for linear quantum systems

Stability criteria expressed via bounded real conditions

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.