Perfect edge state transfer on cubelike graphs

被引：6

作者：

Cao, Xiwang ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Nanjing, Jiangsu, Peoples R China

[2] MIIT, Key Lab Math Modeling & High Performance Comp Air, Nanjing 211106, Peoples R China

来源：

QUANTUM INFORMATION PROCESSING | 2021年 / 20卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Perfect (quantum) state transfer; Perfect edge state transfer; Eigenvalues of a graph; Bent function; QUANTUM WALKS;

D O I：

10.1007/s11128-021-03223-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Perfect (quantum) state transfer has been proved to be an effective model for quantum information processing. In this paper, we give a characterization of cubelike graphs having perfect edge state transfer (PEST, in short). By using a lifting technique, we show that every bent function, and some semi-bent functions as well, can produce some graphs having PEST. Some concrete constructions of such graphs are provided. Notably, using our method, one can obtain some classes of infinite graphs possessing PEST.

引用

页数：26

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