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Two-stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results

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dc.contributor.authorWang, Yuanlong
dc.contributor.authorYokoyama, Shota
dc.contributor.authorDong, Daoyi
dc.contributor.authorPetersen, Ian
dc.contributor.authorHuntington, Elanor
dc.contributor.authorYonezawa, Hidehiro
dc.date.accessioned2023-08-14T23:25:09Z
dc.date.issued2021
dc.date.updated2022-07-24T08:18:34Z
dc.description.abstractIEEE Quantum detector tomography is a fundamental technique for calibrating quantum devices and performing quantum engineering tasks. In this paper, a novel quantum detector tomography method is proposed. First, a series of different probe states are used to generate measurement data. Then, using constrained linear regression estimation, a stage-1 estimation of the detector is obtained. Finally, the positive semidefinite requirement is added to guarantee a physical stage-2 estimation. This Two-stage Estimation (TSE) method has computational complexity O(nd2M), where n is the number of d-dimensional detector matrices and M is the number of different probe states. An error upper bound is established, and optimization on the coherent probe states is investigated. We perform simulation and a quantum optical experiment to testify the effectiveness of the TSE method.en_AU
dc.description.sponsorshipThis work was supported in part by the Australian Research Council’s Discovery Projects funding scheme under Project DP190101566 and Project DP180101805, in part by the Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology under Project CE170100012, and in part by the U.S. Office of Naval Research Global under Grant N62909-19-1-2129. (Corresponding author: Daoyi Dong.)en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0018-9448en_AU
dc.identifier.urihttp://hdl.handle.net/1885/295575
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/3480..."The Accepted Version can be archived in a Non-Commercial Institutional Repository. 24 months embargo" from SHERPA/RoMEO site (as at 16/08/2023). © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP190101566en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP180101805en_AU
dc.relationhttp://purl.org/au-research/grants/arc/CE170100012en_AU
dc.rights© 2021 IEEEen_AU
dc.sourceIEEE Transactions on Information Theoryen_AU
dc.subjectQuantum systemen_AU
dc.subjectquantum detector tomographyen_AU
dc.subjecttwo-stage estimationen_AU
dc.subjectcomputational complexityen_AU
dc.titleTwo-stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Resultsen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage2307en_AU
local.bibliographicCitation.startpage2293en_AU
local.contributor.affiliationWang, Yuanlong, University of New South Walesen_AU
local.contributor.affiliationYokoyama, Shota, University of New South Walesen_AU
local.contributor.affiliationDong, Daoyi, University of New South Walesen_AU
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationHuntington, Elanor, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationYonezawa, Hidehiro, The University of New South Walesen_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.contributor.authoruidHuntington, Elanor, u3565963en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor400705 - Control engineeringen_AU
local.identifier.absseo280110 - Expanding knowledge in engineeringen_AU
local.identifier.ariespublicationa383154xPUB17969en_AU
local.identifier.citationvolume67en_AU
local.identifier.doi10.1109/TIT.2021.3062596en_AU
local.identifier.scopusID2-s2.0-85101841077
local.identifier.thomsonIDWOS:000631200600016
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusAccepted Versionen_AU

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