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Representation and network synthesis for a class of mixed quantum-classical linear stochastic systems

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dc.contributor.authorWang, Shi
dc.contributor.authorNurdin, Hendra
dc.contributor.authorZhang, Guofeng
dc.contributor.authorJames, Matthew
dc.date.accessioned2024-05-08T06:44:16Z
dc.date.issued2018
dc.date.updated2023-01-08T07:17:31Z
dc.description.abstractThe purpose of this paper is to present a network realization theory for a class of mixed quantum–classical linear stochastic systems. Two forms, the standard form and the general form, of this class of linear mixed quantum–classical systems are proposed. Necessary and sufficient conditions for their physical realizability are derived. Based on these physical realizability conditions, a network synthesis theory for this class of linear mixed quantum–classical systems is developed, which clearly exhibits the quantum component, the classical component, and their interface. An example is used to illustrate the theory presented in this paper.en_AU
dc.description.sponsorshipThe work was supported by the National Natural Science Foundation of China under Grant No. 61703151, the Natural Science Foundation of Hunan, Province, China (Grant No. 2018JJ3073), Hong Kong RGC Grant (15206915), and the Fundamental Research Funds for the Central Universities (No. 020200-531107050934), AFOSR Grants FA2386-09-1-4089 and FA2386-12-1-4075, the Australian Research Council (DP110102322).en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0005-1098en_AU
dc.identifier.urihttp://hdl.handle.net/1885/317366
dc.language.isoen_AUen_AU
dc.publisherElsevier Ltden_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP110102322en_AU
dc.rights© 2018 Elsevier Ltd.en_AU
dc.sourceAutomaticaen_AU
dc.subjectLinear stochastic systemsen_AU
dc.subjectMixed quantum–classical linear stochastic systemsen_AU
dc.subjectQuantum systemsen_AU
dc.subjectClassical probabilityen_AU
dc.subjectQuantum probabilityen_AU
dc.subjectNetwork synthesis theoryen_AU
dc.subjectPhysical realizability conditionen_AU
dc.titleRepresentation and network synthesis for a class of mixed quantum-classical linear stochastic systemsen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.lastpage97en_AU
local.bibliographicCitation.startpage84en_AU
local.contributor.affiliationWang, Shi, Hunan Universityen_AU
local.contributor.affiliationNurdin, Hendra, University of New South Walesen_AU
local.contributor.affiliationZhang, Guofeng, Hong Kong Polytechnic Universityen_AU
local.contributor.affiliationJames, Matthew, College of Engineering, Computing and Cybernetics, ANUen_AU
local.contributor.authoruidJames, Matthew, u9109947en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor400700 - Control engineering, mechatronics and roboticsen_AU
local.identifier.ariespublicationu4485658xPUB1213en_AU
local.identifier.citationvolume96en_AU
local.identifier.doi10.1016/j.automatica.2018.06.003en_AU
local.identifier.scopusID2-s2.0-85049308667
local.identifier.thomsonIDWOS:000444659500009
local.publisher.urlhttps://www.elsevier.com/en-auen_AU
local.type.statusPublished Versionen_AU

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