Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/93313
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorGu, Len_US
dc.creatorWang, Xen_US
dc.creatorZhang, Gen_US
dc.date.accessioned2022-06-15T03:42:42Z-
dc.date.available2022-06-15T03:42:42Z-
dc.identifier.isbn978-1-7281-4569-3 (Electronic ISBN)en_US
dc.identifier.urihttp://hdl.handle.net/10397/93313-
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.rights© 2019 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.en_US
dc.rightsThe following publication Gu, L., Wang, X., & Zhang, G. (2019, October). Quantum higher order singular value decomposition. In 2019 IEEE International Conference on Systems, Man and Cybernetics (SMC) (pp. 1166-1171). IEEE is available at https://doi.org/10.1109/SMC.2019.8914525en_US
dc.subjectHigher order singular value decomposition (HOSVD)en_US
dc.subjectQuantum algorithmen_US
dc.subjectQuantum machine learningen_US
dc.subjectTensoren_US
dc.titleQuantum higher order singular value decompositionen_US
dc.typeConference Paperen_US
dc.identifier.spage1166en_US
dc.identifier.epage1171en_US
dc.identifier.volume2019en_US
dc.identifier.doi10.1109/SMC.2019.8914525en_US
dcterms.abstractHigher order singular value decomposition (HOSVD) is an important tool for analyzing big data in multilinear algebra and machine learning. In this paper, we present a quantum algorithm for higher order singular value decomposition. Our method allows one to decompose a tensor into a core tensor containing tensor singular values and some unitary matrices by quantum computers. Compared to the classical HOSVD algorithm, our quantum algorithm provides an exponential speedup.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationIn Proceedings of 2019 IEEE International Conference on Systems, Man and Cybernetics (SMC), 6-9 October 2019, Bari, Italy, p. 1166-1171en_US
dcterms.issued2019-
dc.identifier.scopus2-s2.0-85076721807-
dc.relation.ispartofbook2019 IEEE International Conference on Systems, Man and Cyberneticsen_US
dc.relation.conferenceIEEE International Conference on Systems, Man and Cybernetics [SMC]en_US
dc.description.validate202206 bcfcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0258-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS23264458-
dc.description.oaCategoryGreen (AAM)en_US
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