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Network synthesis of mixed quantum-classical linear stochastic systems

Nurdin, Hendra

Description

In the last decade, there has been a growing interest in the integration of photonic components into VLSI circuits that in the long term may drive the need for systematic mixed electronic-photonic circuit design methods. On the other hand, theoretical and experimental investigations of coherent-feedback quantum control, the feedback control of a quantum system with another quantum system, have led to the development of a network synthesis theory for linear quantum stochastic models that are...[Show more]

dc.contributor.authorNurdin, Hendra
dc.coverage.spatialMelbourne Australia
dc.date.accessioned2015-12-10T23:11:02Z
dc.date.createdNovember 10-11 2011
dc.identifier.isbn9780858259874
dc.identifier.urihttp://hdl.handle.net/1885/63643
dc.description.abstractIn the last decade, there has been a growing interest in the integration of photonic components into VLSI circuits that in the long term may drive the need for systematic mixed electronic-photonic circuit design methods. On the other hand, theoretical and experimental investigations of coherent-feedback quantum control, the feedback control of a quantum system with another quantum system, have led to the development of a network synthesis theory for linear quantum stochastic models that are commonly employed in (linear) quantum optics, modelling such devices as optical cavities and optical parametric amplifiers. This paper makes theoretical contributions towards connecting these two independent developments, and anticipates potential future interest in systematic design methods for mixed linear electronic-photonic circuits, by establishing a network synthesis theory for linear stochastic systems with mixed quantum and classical degrees of freedom. It is shown how a physically realizable mixed quantum-classical linear stochastic system can be realized as a circuit composed of a feedback interconnection of a fully quantum linear subsystem, that can be implemented by quantum optical devices, and a classical linear sub-system, that can be implemented with standard electrical and electronic devices, together with appropriate interfaces that convert quantum signals to classical signals, and vice-versa. Two feedback architectures are proposed, and a decomposition lemma is derived that shows the structure of linear transformations of bosonic quantum signals into classical signals.
dc.publisherEngineers Australia
dc.relation.ispartofseriesAustralian Control Conference (AUCC 2011)
dc.sourceAustralian Control Conference (AUCC 2011) proceedings
dc.subjectKeywords: Circuit designs; Electronic device; Experimental investigations; Feedback architecture; Feedback interconnection; Linear stochastic system; Linear subsystems; Network synthesis; Optical cavities; Optical parametric amplifiers; Photonic components; Quantum
dc.titleNetwork synthesis of mixed quantum-classical linear stochastic systems
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2011
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationu4334215xPUB831
local.type.statusPublished Version
local.contributor.affiliationNurdin, Hendra, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage68
local.bibliographicCitation.lastpage75
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2016-02-24T11:03:22Z
local.identifier.scopusID2-s2.0-84856100017
CollectionsANU Research Publications

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