An infinite family of circulant graphs with perfect state transfer in discrete quantum walks

被引：17
|
作者：
Zhan, Hanmeng [1 ,2 ]
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON, Canada
[2] York Univ, Dept Math & Stat, Toronto, ON, Canada
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 12期
关键词：
JOIN;
D O I：
10.1007/s11128-019-2483-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study perfect state transfer in Kendon's model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of 4-regular circulant graphs that admit perfect state transfer. Prior to our work, the only known infinite families of examples were variants of cycles and diamond chains.
引用
收藏
页数：26
相关论文
共 50 条
12345