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
  • [21] PERFECT STATE TRANSFER, INTEGRAL CIRCULANTS, AND JOIN OF GRAPHS
    Angeles-Canul, Ricardo J.
    Norton, Rachael M.
    Opperman, Michael C.
    Paribello, Christopher C.
    Russell, Matthew C.
    Tamon, Christino
    QUANTUM INFORMATION & COMPUTATION, 2010, 10 (3-4) : 325 - 342
  • [22] Integral circulant graphs of prime power order with maximal energy
    Sander, J. W.
    Sander, T.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (12) : 3212 - 3232
  • [23] Quantum State Transfer on Neighborhood Corona of Two Graphs
    Zhang, Xiao-Qin
    Xiong, Qi
    Tian, Gui-Xian
    Cui, Shu-Yu
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (01)
  • [24] QUANTUM PERFECT STATE TRANSFER ON WEIGHTED JOIN GRAPHS
    Javier Angeles-Canul, Ricardo
    Norton, Rachael M.
    Opperman, Michael C.
    Paribello, Christopher C.
    Russell, Matthew C.
    Tamon, Christino
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 (08) : 1429 - 1445
  • [25] Quantum State Transfer on Neighborhood Corona of Two Graphs
    Xiao-Qin Zhang
    Qi Xiong
    Gui-Xian Tian
    Shu-Yu Cui
    Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [26] THE EXACT MAXIMAL ENERGY OF INTEGRAL CIRCULANT GRAPHS WITH PRIME POWER ORDER
    Sander, J. W.
    Sander, T.
    CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2013, 8 (02) : 19 - 40
  • [27] Quantum Simulation of Perfect State Transfer on Weighted Cubelike Graphs
    Mulherkar, Jaideep
    Rajdeepak, Rishikant
    VadivelMurugan, Sunitha
    MATHEMATICS AND COMPUTING, ICMC 2022, 2022, 415 : 117 - 128
  • [28] Perfect quantum state transfer using Hadamard diagonalizable graphs
    Johnston, Nathaniel
    Kirkland, Steve
    Plosker, Sarah
    Storey, Rebecca
    Zhang, Xiaohong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 531 : 375 - 398
  • [29] Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues
    Sander, J. W.
    Sander, T.
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (04) : 993 - 1017
  • [30] Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues
    J. W. Sander
    T. Sander
    Journal of Algebraic Combinatorics, 2023, 58 : 993 - 1017