Perfect State Transfer on Weighted Abelian Cayley Graphs

• 作者: Xiwang CAO Keqin FENG Ying-Ying TAN
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 625-642
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11401-021-0283-4

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.