文献类型：期刊文献

英文题名：Fractional revival on quasi-abelian Cayley graphs

作者：Fang, Yi[1]; Huang, Xueyi[1]; Liu, Xiaogang[2,3,4]; Zhan, Xiongfeng[1]

机构：[1] School of Mathematics, East China University of Science and Technology, Shanghai, 200237, China; [2] School of Mathematics and Statistics, Northwestern Polytechnical University, Shaanxi, Xi’an, 710072, China; [3] Research & Development Institute of Northwestern Polytechnical University in Shenzhen, Guangdong, Shenzhen, 518063, China; [4] Xi’an-Budapest Joint Research Center for Combinatorics, Northwestern Polytechnical University, Shaanxi, Xi’an, 710129, China

年份：2025

外文期刊名：arXiv

收录：EI(收录号：20250094598)

语种：英文

外文关键词：Graph theory - Quantum electronics

摘要：Fractional revival, a quantum transport phenomenon critical to entanglement generation in quantum spin networks, generalizes the notion of perfect state transfer on graphs. A Cayley graph Cay(G, S) is called quasi-abelian if its connection set S is a union of conjugacy classes of the group G. In this paper, we establish a necessary and sufficient condition for quasi-abelian Cayley graphs to have fractional revival. This extends a result of Cao and Luo (2022) on the existence of fractional revival in Cayley graphs over abelian groups.MSC Codes 05C50, 81P68 Copyright ? 2025, The Authors. All rights reserved.