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Preservation of commutation relations and physical realizability of open two-level quantum systems

Espinosa, Luis A Duffaut; Miao, Zibo; Petersen, Ian; Ugrinovskii, Valery A; James, Matthew

Description

Coherent feedback control considers purely quantum controllers in order to overcome disadvantages such as the acquisition of suitable quantum information, quantum error correction, etc. These approaches lack a systematic characterization of quantum realizability. Recently, a condition characterizing when a system described as a linear stochastic differential equation is quantum was developed. Such condition was named physical realizability, and it was developed for linear quantum systems...[Show more]

dc.contributor.authorEspinosa, Luis A Duffaut
dc.contributor.authorMiao, Zibo
dc.contributor.authorPetersen, Ian
dc.contributor.authorUgrinovskii, Valery A
dc.contributor.authorJames, Matthew
dc.coverage.spatialMaui USA
dc.date.accessioned2015-12-13T22:18:12Z
dc.date.createdDecember 10-13 2012
dc.identifier.isbn9781467320665
dc.identifier.urihttp://hdl.handle.net/1885/71536
dc.description.abstractCoherent feedback control considers purely quantum controllers in order to overcome disadvantages such as the acquisition of suitable quantum information, quantum error correction, etc. These approaches lack a systematic characterization of quantum realizability. Recently, a condition characterizing when a system described as a linear stochastic differential equation is quantum was developed. Such condition was named physical realizability, and it was developed for linear quantum systems satisfying the quantum harmonic oscillator canonical commutation relations. In this context, open two-level quantum systems escape the realm of the current known condition. When compared to linear quantum system, the challenges in obtaining such condition for such systems radicate in that the evolution equation is now a bilinear quantum stochastic differential equation and that the commutation relations for such systems are dependent on the system variables. The goal of this paper is to provide a necessary and sufficient condition for the preservation of the Pauli commutation relations, as well as to make explicit the relationship between this condition and physical realizability.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesIEEE Conference on Decision and Control (CDC 2012)
dc.sourceProceedings of the IEEE Conference on Decision and Control
dc.subjectKeywords: Commutation relation; Evolution equations; Linear quantum systems; Linear stochastic differential equations; Physical realizability; Quantum error corrections; Quantum harmonic oscillators; Quantum Information; Quantum stochastic differential equations; Q
dc.titlePreservation of commutation relations and physical realizability of open two-level quantum systems
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2012
local.identifier.absfor010200 - APPLIED MATHEMATICS
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationf5625xPUB2759
local.type.statusPublished Version
local.contributor.affiliationEspinosa, Luis A Duffaut, University of New South Wales, ADFA
local.contributor.affiliationMiao, Zibo, College of Engineering and Computer Science, ANU
local.contributor.affiliationPetersen, Ian, University of New South Wales, ADFA
local.contributor.affiliationUgrinovskii, Valery A, University of New South Wales, ADFA
local.contributor.affiliationJames, Matthew, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage3019
local.bibliographicCitation.lastpage3023
local.identifier.doi10.1109/CDC.2012.6427023
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2016-02-24T09:02:15Z
local.identifier.scopusID2-s2.0-84874227424
CollectionsANU Research Publications

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