Perfect State Transfer on Weighted Abelian Cayley Graphs  

作　　者：Xiwang CAO Keqin FENG Ying-Ying TAN 

机构地区：[1]Department of Mathematics,Nanjing University of Aeronautics and Astronau-tics,Nanjing 210016,China [2]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China [3]School of Mathematics and Physics,Anhui Jianzhu University,Hefei 230601,China

出　　处：《Chinese Annals of Mathematics,Series B》2021年第4期625-642,共18页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11771007,11601003,11801007,12031011);Natural Science Foundation of Anhui Province(No.1808085MA17)。

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.

关 键 词：Perfect state transfer Cayley graph Eigenvalues of a graph Weighted graph Random walk 

分 类 号：O157.5[理学—数学]