Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156041
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dc.contributor.authorLuo, Gaojunen_US
dc.contributor.authorCao, Xiwangen_US
dc.contributor.authorWang, Dandanen_US
dc.contributor.authorWu, Xiaen_US
dc.date.accessioned2022-03-31T08:42:09Z-
dc.date.available2022-03-31T08:42:09Z-
dc.date.issued2021-
dc.identifier.citationLuo, G., Cao, X., Wang, D. & Wu, X. (2021). Perfect quantum state transfer on Cayley graphs over semi-dihedral groups. Linear and Multilinear Algebra. https://dx.doi.org/10.1080/03081087.2021.1954585en_US
dc.identifier.issn0308-1087en_US
dc.identifier.urihttps://hdl.handle.net/10356/156041-
dc.description.abstractPerfect quantum state transfer plays a crucial role in quantum information processing and quantum computation. There has been extensive study of perfect quantum state transfer on Cayley graphs over abelian groups. In this paper, we consider the existence of perfect quantum state transfer on Cayley graphs over semi-dihedral groups which are non-abelian groups. Using the representations of semi-dihedral groups, we provide some necessary and sufficient conditions for Cayley graphs over semi-dihedral groups admitting perfect quantum state transfer. By those conditions, we present examples of perfect quantum state transfer on Cayley graphs over semi-dihedral groups. In addition, we propose results about whether some new Cayley graphs over non-abelian groups admit perfect quantum state transfer.en_US
dc.language.isoenen_US
dc.relation4INS000047C230GRT01en_US
dc.relation.ispartofLinear and Multilinear Algebraen_US
dc.rightsThis is an Accepted Manuscript of an article published by Taylor & Francis in Linear and Multilinear Algebra on 15 Jul 2021, available online: http://www.tandfonline.com/10.1080/03081087.2021.1954585en_US
dc.subjectScience::Mathematics::Algebraen_US
dc.titlePerfect quantum state transfer on Cayley graphs over semi-dihedral groupsen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.identifier.doi10.1080/03081087.2021.1954585-
dc.description.versionSubmitted/Accepted versionen_US
dc.identifier.scopus2-s2.0-85110911509-
dc.subject.keywordsPerfect Quantum State Transferen_US
dc.subject.keywordsCayley Graphen_US
dc.description.acknowledgementThis work was supported by the NTU Research Grant 04INS000047C230GRT01 and the National Natural Science Foundation of China [grant numbers 11771007, 11971102, 11801070 and 61572027].en_US
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