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Optimal quantum realization of a classical linear system

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dc.contributor.authorThien, Rebbecca T.Y.en
dc.contributor.authorVuglar, Shanon L.en
dc.contributor.authorPetersen, Ian R.en
dc.date.accessioned2026-07-03T21:43:17Z
dc.date.available2026-07-03T21:43:17Z
dc.date.issued2020en
dc.description.abstractAdditional noise in a quantum system can be detrimental to the performance of a quantum coherent feedback control system. This paper proposes a Linear Matrix Inequality (LMI) approach to construct an optimal quantum realization of a given Linear Time Invariant (LTI) system. The quantum realization problem is useful in designing coherent quantum feedback controllers. An optimal method is proposed for solving this problem in terms of a finite horizon quadratic performance index, which is related to the amount of quantum noise appearing at the system's output. This cost function provides a measure of how much the additional quantum noise in the coherent controller will alter the feedback control system.en
dc.description.sponsorshipunder grant DP180101805. It was also supported by the Airforce O★fTficheisofwSocrikentwifaisc RsuepsepaorrcthedanbdythteheOfAfiucestorfalNiaanvaRl ReseesaeracrhchCGoluonbcaill under aggrraenetmDenPt1n8u01m0b1e8r05F.AI2t38w6a-s16a-1ls4o06s5u.pported by the Airforce Office of Scientific Research and the Office of Naval Research Global under agreement number FA2386-16-14065.en
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.issn2405-8963en
dc.identifier.otherORCID:/0000-0002-1065-7597/work/219174524en
dc.identifier.otherORCID:/0000-0003-4856-9450/work/219177674en
dc.identifier.scopus85099881955en
dc.identifier.urihttps://hdl.handle.net/1885/733812456
dc.language.isoenen
dc.relation.ispartofseries21st IFAC World Congress 2020en
dc.rightsPublisher Copyright: Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND licenseen
dc.sourceIFAC-PapersOnLineen
dc.subjectLinear matrix inequalityen
dc.subjectOptimizationen
dc.subjectPhysical realizabilityen
dc.subjectQuadratic performance indexen
dc.subjectQuantum noiseen
dc.subjectQuantum systemen
dc.titleOptimal quantum realization of a classical linear systemen
dc.typeConference paperen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage262en
local.bibliographicCitation.startpage257en
local.contributor.affiliationThien, Rebbecca T.Y.; COVID 19 Extension Scholarship, The Australian National Universityen
local.contributor.affiliationVuglar, Shanon L.; John Brown Universityen
local.contributor.affiliationPetersen, Ian R.; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.identifier.ariespublicationa383154xPUB29718en
local.identifier.citationvolume53en
local.identifier.doi10.1016/j.ifacol.2020.12.132en
local.identifier.purec1635b9a-c771-4b4f-8c71-d2a9a835e581en
local.identifier.urlhttps://www.scopus.com/pages/publications/85099881955en
local.type.statusPublisheden

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