@inproceedings{87063f151d234a56b48775fe1f0c1f98,
title = "Lyapunov stability analysis for invariant states of quantum systems",
abstract = "In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use weak convergence, in this article we analyze the convergence of density operators by considering the set of density operators as a Banach space. We show that the set of invariant density operators is both closed and convex, which implies the impossibility of having multiple isolated invariant density operators. We then show how to analyze the stability of this set via a candidate Lyapunov operator.",
author = "Emzir, {Muhammad F.} and Petersen, {Ian R.} and Woolley, {Matthew J.}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 56th IEEE Annual Conference on Decision and Control, CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",
year = "2017",
month = jun,
day = "28",
doi = "10.1109/CDC.2017.8264475",
language = "English",
series = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "5505--5510",
booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
address = "United States",
}