@inproceedings{ccdf0ff9c43947e4be2399cceccfd0df,
title = "Stability of quantum Markov systems via Lyapunov methods in the Heisenberg picture",
abstract = "Stability of quantum Markov systems is investigated in terms of stability of invariant states. Evolutions of a quantum system in the Heisenberg picture are considered which are modeled in terms of a quantum stochastic differential equation. Using a Markov operator semigroup associated with this quantum stochastic differential equation, we derive sufficient conditions for the existence and stability of a unique and faithful invariant quantum state. The conditions are formulated in terms of algebraic constraints suitable for engineering quantum systems to be used in coherent feedback networks. To derive these conditions, we use quantum analogues of the stochastic Lyapunov stability theory.",
keywords = "Invariant state, Open quantum systems, Quantum semigroup, Quantum stability, Stochastic Lyapunov techniques",
author = "Yu Pan and Hadis Amini and Zibo Miao and John Gough and Valery Ugrinovskii and James, \{Matthew R.\}",
year = "2013",
doi = "10.1109/AUCC.2013.6697323",
language = "英语",
isbn = "9781479924981",
series = "2013 3rd Australian Control Conference, AUCC 2013",
pages = "497--500",
booktitle = "2013 3rd Australian Control Conference, AUCC 2013",
note = "2013 3rd Australian Control Conference, AUCC 2013 ; Conference date: 04-11-2013 Through 05-11-2013",
}