Quantum state transfer on integral oriented circulant graphs

被引:0
|
作者
Song, Xingkun [1 ]
机构
[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
关键词
Perfect state transfer; Multiple state transfer; Integral graphs; Oriented circulant graphs;
D O I
10.1016/j.amc.2023.128391
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral oriented circulant graphs. Specifically, a characterization of PST and MST on integral oriented circulant graphs is provided. As an application, we also obtain a closed-form expression for the number of integral oriented circulant graphs having PST and MST.
引用
收藏
页数:11
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