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An approximate quantum Hamiltonian identification algorithm using a Taylor expansion of the matrix exponential function

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dc.contributor.authorWang, Yuanlong
dc.contributor.authorDong, Daoyi
dc.contributor.authorPetersen, Ian
dc.coverage.spatialMelbourne, Australia
dc.date.accessioned2020-01-28T01:00:17Z
dc.date.createdDecember 12-15 2017
dc.date.issued2017
dc.date.updated2019-11-25T07:24:21Z
dc.description.abstractAn approximate quantum Hamiltonian identification algorithm is presented with the assumption that the system initial state and observation matrix can be set appropriately. We sample the system with a fixed period and using the sampled data we estimate the Hamiltonian based on a Taylor expansion of the matrix exponential function. We prove the estimation error is linear in the variance of the additive Gaussian noise. We also propose a heuristic formula to find the order of magnitude of the optimal sampling period. Two numerical examples are presented to validate the theoretical results.en_AU
dc.description.sponsorshipThis work was supported by the Australian Research Council’s Discovery Projects funding scheme under Project DP130101658 and Laureate Fellowship FL110100020, and the AFOSR under grant FA2386-16-1-4065.en_AU
dc.format.extent6 pagesen_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn978-1-5090-2873-3en_AU
dc.identifier.urihttp://hdl.handle.net/1885/199973
dc.language.isoen_AUen_AU
dc.publisherIEEEen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP130101658en_AU
dc.relationhttp://purl.org/au-research/grants/arc/FL110100020en_AU
dc.relation.ispartofseries56th IEEE Annual Conference on Decision and Control, CDC 2017
dc.rightshttp://www.ieee.org/publications_standards/publications/rights/rights_policies.html © 2017 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. http://www.ieee.org/publications_standards/publications/rights/announcement_author_posting_updated.pdf The policy reaffirms the principle that authors are free to post the accepted version of their article on their personal Web sites or those of their employers. Posting of the final, published PDF continues to be prohibited, except for open access articles, whose authors may freely post the final version. Publisher Permission Email reply 2/5/2014 can archive accepted version of IEEE conference papers.en_AU
dc.source2017 IEEE 56th Annual Conference on Decision and Control, (CDC) 2017en_AU
dc.subjectAlgorithm design and analysisen_AU
dc.subjectTomographyen_AU
dc.subjectCouplingsen_AU
dc.subjectAustraliaen_AU
dc.subjectEstimation erroren_AU
dc.subjectApproximation algorithmsen_AU
dc.subjectTaylor seriesen_AU
dc.titleAn approximate quantum Hamiltonian identification algorithm using a Taylor expansion of the matrix exponential functionen_AU
dc.typeConference paperen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.lastpage5528en_AU
local.bibliographicCitation.startpage5523en_AU
local.contributor.affiliationWang, Yuanlong, 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, The Australian National Universityen_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.description.notesImported from ARIES. This paper was presented at the 2017 IEEE 56th Annual Conference on Decision and Control (CDC) on 12-15 Dec. 2017 in Melbourne, VIC, Australia.en_AU
local.description.refereedYes
local.identifier.absfor090602 - Control Systems, Robotics and Automationen_AU
local.identifier.absseo970109 - Expanding Knowledge in Engineeringen_AU
local.identifier.ariespublicationa383154xPUB9947en_AU
local.identifier.doi10.1109/CDC.2017.8264478en_AU
local.identifier.scopusID2-s2.0-85046139728
local.publisher.urlhttps://ieeexplore.ieee.org/en_AU
local.type.statusAccepted Versionen_AU

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