Quantum state transfer on integral oriented circulant graphs

被引:0
|
作者
Song, Xingkun [1 ]
机构
[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
关键词
Perfect state transfer; Multiple state transfer; Integral graphs; Oriented circulant graphs;
D O I
10.1016/j.amc.2023.128391
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral oriented circulant graphs. Specifically, a characterization of PST and MST on integral oriented circulant graphs is provided. As an application, we also obtain a closed-form expression for the number of integral oriented circulant graphs having PST and MST.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] Perfect state transfer on abelian Cayley graphs
    Tan, Ying-Ying
    Feng, Keqin
    Cao, Xiwang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 563 : 331 - 352
  • [42] Perfect state transfer in NEPS of complete graphs
    Li, Yipeng
    Liu, Xiaogang
    Zhang, Shenggui
    Zhou, Sanming
    DISCRETE APPLIED MATHEMATICS, 2021, 289 : 98 - 114
  • [43] Perfect state transfer on gcd-graphs
    Pal, Hiranmoy
    Bhattacharjya, Bikash
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (11) : 2245 - 2256
  • [44] On state transfer in Cayley graphs for abelian groups
    Arnadottir, Arnbjorg Soffia
    Godsil, Chris
    QUANTUM INFORMATION PROCESSING, 2022, 22 (01)
  • [45] Perfect state transfer in unitary Cayley graphs and gcd-graphs
    Thongsomnuk, Issaraporn
    Meemark, Yotsanan
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (01) : 39 - 50
  • [46] Perfect state transfer in NEPS of some graphs
    Zheng, Shasha
    Liu, Xiaogang
    Zhang, Shenggui
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (08) : 1518 - 1533
  • [47] Perfect state transfer on weighted graphs of the Johnson scheme
    Luc Vinet
    Hanmeng Zhan
    Letters in Mathematical Physics, 2020, 110 : 2491 - 2504
  • [48] Perfect State Transfer on Weighted Abelian Cayley Graphs
    Cao, Xiwang
    Feng, Keqin
    Tan, Ying-Ying
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2021, 42 (04) : 625 - 642
  • [49] State transfer in strongly regular graphs with an edge perturbation
    Godsil, Chris
    Guo, Krystal
    Kempton, Mark
    Lippner, Gabor
    Muench, Florentin
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 172
  • [50] Perfect State Transfer on Weighted Abelian Cayley Graphs
    Xiwang CAO
    Keqin FENG
    Ying-Ying TAN
    Chinese Annals of Mathematics,Series B, 2021, (04) : 625 - 642