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
  • [21] Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory
    Salimi, S.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (12) : 3298 - 3309
  • [22] Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory
    S. Salimi
    International Journal of Theoretical Physics, 2008, 47 : 3298 - 3309
  • [23] Node Centrality for Continuous-Time Quantum Walks
    Rossi, Luca
    Torsello, Andrea
    Hancock, Edwin R.
    STRUCTURAL, SYNTACTIC, AND STATISTICAL PATTERN RECOGNITION, 2014, 8621 : 103 - 112
  • [24] Continuous-time quantum walks on ultrametric spaces
    Konno, Norio
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2006, 4 (06) : 1023 - 1035
  • [25] Continuous-time quantum walks with defects and disorder
    Izaac, J. A.
    Wang, J. B.
    Li, Z. J.
    PHYSICAL REVIEW A, 2013, 88 (04):
  • [26] Continuous-time quantum walks on the symmetric group
    Gerhardt, H
    Watrous, J
    APPROXIMATION, RANDOMIZATION, AND COMBINATORIAL OPTIMIZATION, 2003, 2764 : 290 - 301
  • [27] Zero transfer in continuous-time quantum walks
    A. Sett
    H. Pan
    P. E. Falloon
    J. B. Wang
    Quantum Information Processing, 2019, 18
  • [28] Convergence of continuous-time quantum walks on the line
    Gottlieb, AD
    PHYSICAL REVIEW E, 2005, 72 (04):
  • [29] Continuous-time quantum walks on a cycle graph
    Solenov, D
    Fedichkin, L
    PHYSICAL REVIEW A, 2006, 73 (01)
  • [30] Continuous-time limit of topological quantum walks
    Balu, Radhakrishnan
    Castillo, Daniel
    Siopsis, George
    Weedbrook, Christian
    ULTRAFAST BANDGAP PHOTONICS II, 2017, 10193
12345