Stability of quantum Markov systems via Lyapunov methods in the Heisenberg picture

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

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.
Original languageEnglish
Title of host publicationControl Conference (AUCC), 2013 3rd Australian, 2013
PublisherIEEE Press
ISBN (Print)9781479924998
DOIs
Publication statusPublished - 2013
Event2013 3rd Australian Control Conference (AUCC 2013) - , United Kingdom of Great Britain and Northern Ireland
Duration: 04 Nov 201305 Nov 2013

Conference

Conference2013 3rd Australian Control Conference (AUCC 2013)
Country/TerritoryUnited Kingdom of Great Britain and Northern Ireland
Period04 Nov 201305 Nov 2013

Fingerprint

Dive into the research topics of 'Stability of quantum Markov systems via Lyapunov methods in the Heisenberg picture'. Together they form a unique fingerprint.

Cite this