Perfect State Transfer on Weighted Abelian Cayley Graphs*


Xiwang CAO,Keqin FENG,Ying-Ying TAN.Perfect State Transfer on Weighted Abelian Cayley Graphs*[J].Chinese Annals of Mathematics B,2021,42(4):625~642
Page view: 57        Net amount: 47


Xiwang CAO; Keqin FENG;Ying-Ying TAN


National Natural Science Foundation of China (Nos. 11771007,11601003, 11801007, 12031011) and Natural Science Foundation of Anhui Province (No. 1808085MA17).
Abstract: 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.


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


05C25, 81P45, 81Q35
Download PDF Full-Text

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China
Designed by Beijing E-Tiller Co.,Ltd.