Perfect state transfer on weighted bi-Cayley graphs over abelian groups

Shixin Wang and Tao Feng

Applied Mathematics and Computation, 2023, vol. 451, issue C

Abstract: The study of perfect state transfer on graphs has attracted extensive attention because of its application in quantum information and computation. This paper establishes necessary and sufficient conditions for a weighted bi-Cayley graph having perfect state transfer over any given finite abelian group. As special cases of weighted bi-Cayley graphs, the results in this paper can apply to examine weighted Cayley graphs having perfect state transfer over dihedral groups, generalized dihedral groups, semi-dihedral groups and dicyclic groups.

Keywords: Perfect state transfer; Bi-Cayley graph; Weighted graph; Integral graph; Quantum random walk (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001753

DOI: 10.1016/j.amc.2023.128006

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