Perfect State Transfer on Weighted Abelian Cayley Graphs

被引：7

作者：

Cao, Xiwang ^{[1
]}

Feng, Keqin ^{[2
]}

Tan, Ying-Ying ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2021年 / 42卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Perfect state transfer; Cayley graph; Eigenvalues of a graph; Weighted graph; Random walk;

D O I：

10.1007/s11401-021-0283-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, there are extensive studies on perfect state transfer (PST for short) on graphs due to their significant applications in quantum information processing and quantum computations. However, there is not any general characterization of graphs that have PST in literature. In this paper, the authors present a depiction on weighted abelian Cayley graphs having PST. They give a unified approach to describe the periodicity and the existence of PST on some specific graphs.

引用

页码：625 / 642

页数：18

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