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Lyapunov Stability Analysis for Invariant States of Quantum Systems

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dc.contributor.authorEmzir, Muhammad F
dc.contributor.authorPetersen, Ian
dc.contributor.authorWoolley, Matthew J
dc.coverage.spatialMelbourne, Australia
dc.date.accessioned2020-01-28T01:01:26Z
dc.date.createdDecember 12-15 2017
dc.date.issued2017
dc.date.updated2019-11-25T07:24:24Z
dc.description.abstractIn 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.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn978-1-5090-2873-3en_AU
dc.identifier.urihttp://hdl.handle.net/1885/199974
dc.language.isoen_AUen_AU
dc.publisherIEEEen_AU
dc.relation.ispartofseries56th IEEE Annual Conference on Decision and Control, CDC 2017
dc.rights©2017 IEEEen_AU
dc.source2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017en_AU
dc.titleLyapunov Stability Analysis for Invariant States of Quantum Systemsen_AU
dc.typeConference paperen_AU
local.bibliographicCitation.lastpage5510en_AU
local.bibliographicCitation.startpage5505en_AU
local.contributor.affiliationEmzir, Muhammad F, University of New South Wales, Canberraen_AU
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationWoolley, Matthew J, University of NSWen_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090602 - Control Systems, Robotics and Automationen_AU
local.identifier.absseo970109 - Expanding Knowledge in Engineeringen_AU
local.identifier.ariespublicationa383154xPUB9965en_AU
local.identifier.doi10.1109/CDC.2017.8264475en_AU
local.identifier.scopusID2-s2.0-85046146326
local.publisher.urlhttps://ieeexplore.ieee.org/en_AU
local.type.statusPublished Versionen_AU

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