James, Matthew (Australian National Univ.), Petersen, Ian (UNSW at ADFA)

Algebraic Characterizations of Dissipativity for Linear Quantum Stochastic Systems

Scheduled for presentation during the Regular Session "Quantum Systems" (ThP04), Thursday, July 27, 2006, 16:10−16:35, Room K

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

In this paper we consider a quantum system that is subject to external influences and noise. We describe the resulting behavior in a manner that generalizes Willem's 1972 theory of dissipative systems, originally developed for nonlinear deterministic classical systems. The aim of this paper is to characterize this dissipation property in algebraic terms. This will provide a basis for robust design and analysis methods for quantum systems, in the framework of D'Helon and James, 2005.