Continuous-time quantum walks on star graphs

被引：30
|
作者：
Salimi, S. [1 ]
机构：
[1] Univ Kurdistan, Dept Phys, Sanandaj, Iran
来源：
ANNALS OF PHYSICS | 2009年 / 324卷 / 06期
关键词：
Continuous-time quantum walk; Star graph; Spectral distribution;
D O I：
10.1016/j.aop.2009.03.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for N-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on K-2 graphs (complete graph with two vertices) and the probability of observing walk tends to the uniform distribution. (c) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1185 / 1193
页数：9
相关论文
共 50 条
  • [41] One-Dimensional Continuous-Time Quantum Walks
    ben-Avraham, D.
    Bollt, E. M.
    Tamon, C.
    QUANTUM INFORMATION PROCESSING, 2004, 3 (1-5) : 295 - 308
  • [42] One-Dimensional Continuous-Time Quantum Walks
    D. ben-Avraham
    E.M. Bollt
    C. Tamon
    Quantum Information Processing, 2004, 3 : 295 - 308
  • [43] Physical realizability of continuous-time quantum stochastic walks
    Taketani, Bruno G.
    Govia, Luke C. G.
    Wilhelm, Frank K.
    PHYSICAL REVIEW A, 2018, 97 (05)
  • [44] Detecting factorization effect in continuous-time quantum walks
    Jin-Hui Zhu
    Li-Hua Lu
    You-Quan Li
    EPJ Quantum Technology, 2021, 8
  • [45] Continuous-time quantum walks on the threshold network model
    Ide, Yusuke
    Konno, Norio
    MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2010, 20 (06) : 1079 - 1090
  • [46] Steady states of continuous-time open quantum walks
    Liu, Chaobin
    Balu, Radhakrishnan
    QUANTUM INFORMATION PROCESSING, 2017, 16 (07)
  • [47] Link Prediction with Continuous-Time Classical and Quantum Walks
    Goldsmith, Mark
    Saarinen, Harto
    Garcia-Perez, Guillermo
    Malmi, Joonas
    Rossi, Matteo A. C.
    Maniscalco, Sabrina
    ENTROPY, 2023, 25 (05)
  • [48] Recurrence and Transience of Continuous-Time Open Quantum Walks
    Bardet, Ivan
    Bringuier, Hugo
    Pautrat, Yan
    Pellegrini, Clement
    SEMINAIRE DE PROBABILITES L, 2019, 2252 : 493 - 518
  • [49] Detecting factorization effect in continuous-time quantum walks
    Zhu, Jin-Hui
    Lu, Li-Hua
    Li, You-Quan
    EPJ QUANTUM TECHNOLOGY, 2021, 8 (01)
  • [50] Selected open problems in continuous-time quantum walks
    Coutinho, Gabriel
    Guo, Krystal
    SPECIAL MATRICES, 2024, 12 (01):
12345