@inproceedings{0ee355f2ca18485f8540cd0b8061615f,
title = "Lyapunov stability for quantum markov processes",
abstract = "In this paper we prove some Lyapunov stability results for Quantum systems. The evolution of open quantum systems can be described using a one parameter semigroup of completely positive operators with which we can associate a minimal quantum Markov dilation. Analogous to Lyapunov stability theorems of classical Markov processes, we develop Lyapunov stability theorems for minimal Markov dilations of quantum systems. This theory depends on a quantum version of Dynkin's formula.",
keywords = "Lyapunov stability, Quantum control, Quantum markov processes",
author = "Ram Somaraju and Petersen, \{Ian R.\}",
year = "2009",
doi = "10.1109/ACC.2009.5160264",
language = "English",
isbn = "9781424445240",
series = "Proceedings of the American Control Conference",
pages = "719--724",
booktitle = "2009 American Control Conference, ACC 2009",
note = "2009 American Control Conference, ACC 2009 ; Conference date: 10-06-2009 Through 12-06-2009",
}