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Quantum trajectories for a class of continuous matrix product input states

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Gough, J.E.; James, Matthew; Nurdin, Hendra

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We introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian model, and that input fields in these states lead to master and filtering (quantum trajectory) equations which are matrix-valued. Furthermore, it is shown that this class of CMP states include the...[Show more]

dc.contributor.authorGough, J.E.
dc.contributor.authorJames, Matthew
dc.contributor.authorNurdin, Hendra
dc.date.accessioned2015-12-13T22:27:44Z
dc.identifier.issn1367-2630
dc.identifier.urihttp://hdl.handle.net/1885/74076
dc.description.abstractWe introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian model, and that input fields in these states lead to master and filtering (quantum trajectory) equations which are matrix-valued. Furthermore, it is shown that this class of CMP states include the (continuous-mode) single photon and time-ordered multi-photon states.
dc.publisherInstitute of Physics Publishing
dc.rightsAuthor/s retain copyright
dc.sourceNew Journal of Physics
dc.titleQuantum trajectories for a class of continuous matrix product input states
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume16
dc.date.issued2014
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationU3488905xPUB3954
local.type.statusPublished Version
local.contributor.affiliationGough, J.E., Aberystwyth University
local.contributor.affiliationJames, Matthew, College of Engineering and Computer Science, ANU
local.contributor.affiliationNurdin, Hendra, University of New South Wales
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage17
local.identifier.doi10.1088/1367-2630/16/7/075008
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2015-12-11T08:34:13Z
local.identifier.scopusID2-s2.0-84904175884
local.identifier.thomsonID000339239600002
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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