Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and beyond

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dc.contributor.authorWang, Yuanlong
dc.contributor.authorDong, Daoyi
dc.contributor.authorSone, Akira
dc.contributor.authorPetersen, Ian
dc.contributor.authorYonezawa, Hidehiro
dc.contributor.authorCappellaro, Paola
dc.date.accessioned2023-08-09T22:48:13Z
dc.date.available2023-08-09T22:48:13Z
dc.date.issued2020
dc.date.updated2022-07-24T08:18:04Z
dc.description.abstractThe identifiability of a system is concerned with whether the unknown parameters in the system can be uniquely determined with all the possible data generated by a certain experimental setting. A test of quantum Hamiltonian identifiability is an important tool to save time and cost when exploring the identification capability of quantum probes and experimentally implementing quantum identification schemes. In this article, we generalize the identifiability test based on the similarity transformation approach (STA) in classical control theory and extend it to the domain of quantum Hamiltonian identification. We employ the STA to prove the identifiability of spin-1/2 chain systems with arbitrary dimension assisted by singlequbit probes. We further extend the traditional STA method by proposing a structure preserving transformation (SPT method for nonminimal systems. We use the SPT method to introduce an indicator for the existence of economic quantum Hamiltonian identification algorithms, whose computational complexity directly depends on the number of unknown parameters (which could be much smaller than the system dimension). Finally, we give an example of such an economic Hamiltonian identification algorithm and perform simulations to demonstrate its effectiveness.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0018-9286en_AU
dc.identifier.urihttp://hdl.handle.net/1885/295477
dc.language.isoen_AUen_AU
dc.provenanceThis work is licensed under a Creative Commons Attribution 4.0 License. For more information, see http://creativecommons.org/licenses/by/4.0/en_AU
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)en_AU
dc.rights© 2020 IEEEen_AU
dc.rights.licenseCreative Commons Attribution License 4.0en_AU
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_AU
dc.sourceIEEE Transactions on Automatic Controlen_AU
dc.subjectHamiltonian identifiabilityen_AU
dc.subjectquantum Hamiltonian identificationen_AU
dc.subjectquantum systemen_AU
dc.subjectsimilarity transformation approach (STA)en_AU
dc.titleQuantum Hamiltonian Identifiability via a Similarity Transformation Approach and beyonden_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue11en_AU
local.bibliographicCitation.lastpage4647en_AU
local.bibliographicCitation.startpage4632en_AU
local.contributor.affiliationWang, Yuanlong, University of New South Walesen_AU
local.contributor.affiliationDong, Daoyi, University of New South Walesen_AU
local.contributor.affiliationSone, Akira, Research Laboratory of Electronicsen_AU
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationYonezawa, Hidehiro, The University of New South Walesen_AU
local.contributor.affiliationCappellaro, Paola, Research Laboratory of Electronics and the Department of Nuclear Science and Engineeringen_AU
local.contributor.authoremailu4036493@anu.edu.auen_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor400705 - Control engineeringen_AU
local.identifier.absseo280110 - Expanding knowledge in engineeringen_AU
local.identifier.ariespublicationa383154xPUB16186en_AU
local.identifier.citationvolume65en_AU
local.identifier.doi10.1109/TAC.2020.2973582en_AU
local.identifier.scopusID2-s2.0-85094695813
local.identifier.thomsonIDWOS:000583711500011
local.identifier.uidSubmittedBya383154en_AU
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusPublished Versionen_AU

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