Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156041
Title: Perfect quantum state transfer on Cayley graphs over semi-dihedral groups
Authors: Luo, Gaojun
Cao, Xiwang
Wang, Dandan
Wu, Xia
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: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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