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Joint measurement of multiple noncommuting parameters

Li, Jiamin; Liu, Yuhong; Cui, Liang; Huo, Nan; Assad, Syed; Li, Xiaoying; Ou, Zhe Yu Jeff

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Although quantum metrology allows us to make precision measurements beyond the standard quantum limit, it mostly works on the measurement of only one observable due to the Heisenberg uncertainty relation on the measurement precision of noncommuting observables for one system. In this paper, we study the schemes of joint measurement of multiple observables which do not commute with each other using the quantum entanglement between two systems. We focus on analyzing the performance of a SU(1,1)...[Show more]

dc.contributor.authorLi, Jiamin
dc.contributor.authorLiu, Yuhong
dc.contributor.authorCui, Liang
dc.contributor.authorHuo, Nan
dc.contributor.authorAssad, Syed
dc.contributor.authorLi, Xiaoying
dc.contributor.authorOu, Zhe Yu Jeff
dc.date.accessioned2019-07-02T06:02:42Z
dc.date.available2019-07-02T06:02:42Z
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/1885/164317
dc.description.abstractAlthough quantum metrology allows us to make precision measurements beyond the standard quantum limit, it mostly works on the measurement of only one observable due to the Heisenberg uncertainty relation on the measurement precision of noncommuting observables for one system. In this paper, we study the schemes of joint measurement of multiple observables which do not commute with each other using the quantum entanglement between two systems. We focus on analyzing the performance of a SU(1,1) nonlinear interferometer on fulfilling the task of joint measurement. The results show that the information encoded in multiple noncommuting observables on an optical field can be simultaneously measured with a signal-to-noise ratio higher than the standard quantum limit, and the ultimate limit of each observable is still the Heisenberg limit. Moreover, we find a resource conservation rule for the joint measurement.
dc.description.sponsorshipThe work is supported in part by the National Key Research and Development Program of China (2016YFA0301403), the 973 program of China (2014CB340103), the National Natural Science Foundation of China (91736105, 11527808), and the 111 project (B07014).
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherAmerican Physical Society
dc.rights© 2018 American Physical Society
dc.sourcePhysical Review A
dc.titleJoint measurement of multiple noncommuting parameters
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume97
dc.date.issued2018
local.identifier.absfor020603 - Quantum Information, Computation and Communication
local.identifier.ariespublicationa383154xPUB10106
local.publisher.urlhttp://www.aps.org/
local.type.statusPublished Version
local.contributor.affiliationLi, Jiamin, Tianjin University
local.contributor.affiliationLiu, Yuhong, Tianjin University
local.contributor.affiliationCui, Liang, Tianjin University
local.contributor.affiliationHuo, Nan, Tianjin University
local.contributor.affiliationAssad, Syed, College of Science, ANU
local.contributor.affiliationLi, Xiaoying, Tianjin University
local.contributor.affiliationOu, Zhe Yu Jeff, Tianjin University
local.bibliographicCitation.issue5
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage11
local.identifier.doi10.1103/PhysRevA.97.052127
dc.date.updated2019-03-31T07:17:21Z
local.identifier.scopusID2-s2.0-85047745991
dcterms.accessRightsOpen Access
dc.provenancehttp://sherpa.ac.uk/romeo/issn/2469-9926/..."Publisher's version/PDF may be used" from SHERPA/RoMEO site (as at 2/07/19).
CollectionsANU Research Publications

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