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|Title:||Perfect quantum state transfer on Cayley graphs over semi-dihedral groups||Authors:||Luo, Gaojun
|Keywords:||Science::Mathematics::Algebra||Issue Date:||2021||Source:||Luo, 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/10.1080/03081087.2021.1954585||Project:||4INS000047C230GRT01||Journal:||Linear and Multilinear Algebra||Abstract:||Perfect 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.||URI:||https://hdl.handle.net/10356/156041||ISSN:||0308-1087||DOI:||10.1080/03081087.2021.1954585||Rights:||This 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/10.1080/03081087.2021.1954585||Fulltext Permission:||embargo_20220722||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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Updated on Jun 26, 2022
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