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Lyapunov stability for quantum markov processes

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dc.contributor.authorSomaraju, Ramen
dc.contributor.authorPetersen, Ian R.en
dc.date.accessioned2026-07-03T21:43:22Z
dc.date.available2026-07-03T21:43:22Z
dc.date.issued2009en
dc.description.abstractIn 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.en
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.isbn9781424445240en
dc.identifier.issn0743-1619en
dc.identifier.otherORCID:/0000-0003-4856-9450/work/219177704en
dc.identifier.scopus70449635465en
dc.identifier.urihttps://hdl.handle.net/1885/733812459
dc.language.isoenen
dc.relation.ispartof2009 American Control Conference, ACC 2009en
dc.relation.ispartofseries2009 American Control Conference, ACC 2009en
dc.relation.ispartofseriesProceedings of the American Control Conferenceen
dc.subjectLyapunov stabilityen
dc.subjectQuantum controlen
dc.subjectQuantum markov processesen
dc.titleLyapunov stability for quantum markov processesen
dc.typeConference paperen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage724en
local.bibliographicCitation.startpage719en
local.contributor.affiliationSomaraju, Ram; University of New South Walesen
local.contributor.affiliationPetersen, Ian R.; University of New South Walesen
local.identifier.ariespublicationu6048437xPUB217en
local.identifier.doi10.1109/ACC.2009.5160264en
local.identifier.pure0ee355f2-ca18-485f-8540-cd0b8061615fen
local.identifier.urlhttps://www.scopus.com/pages/publications/70449635465en
local.type.statusPublisheden

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