Fractional recurrence in discrete-time quantum walk

被引：21
|
作者：
Chandrashekar, C. M. [1 ,2 ]
机构：
[1] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
来源：
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2010年 / 8卷 / 06期
关键词：
quantum walk; recurrence; polya number;
D O I：
10.2478/s11534-010-0023-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quantum recurrence theorem holds for quantum systems with discrete energy eigenvalues and fails to hold in general for systems with continuous energy. We show that during quantum walk process dominated by interference of amplitude corresponding to different paths fail to satisfy the complete quantum recurrence theorem. Due to the revival of the fractional wave packet, a fractional recurrence characterized using quantum Polya number can be seen.
引用
收藏
页码：979 / 988
页数：10
相关论文
共 50 条
  • [31] Quantum percolation and transition point of a directed discrete-time quantum walk
    Chandrashekar, C. M.
    Busch, Th.
    SCIENTIFIC REPORTS, 2014, 4
  • [32] Quantum percolation and transition point of a directed discrete-time quantum walk
    C. M. Chandrashekar
    Th. Busch
    Scientific Reports, 4
  • [33] Quantum network communication: a discrete-time quantum-walk approach
    Yang, Yuguang
    Yang, Jiajie
    Zhou, Yihua
    Shi, Weimin
    Chen, Xiubo
    Li, Jian
    Zuo, Huijuan
    SCIENCE CHINA-INFORMATION SCIENCES, 2018, 61 (04)
  • [34] An image reranking algorithm based on discrete-time quantum walk
    Wei-Min Shi
    Qing-Tian Zhuang
    Yi-Hua Xue-Zhang
    Yu-Guang Zhou
    Multimedia Tools and Applications, 2024, 83 : 34979 - 34994
  • [35] Discrete-time quantum walk algorithm for ranking nodes on a network
    Prateek Chawla
    Roopesh Mangal
    C. M. Chandrashekar
    Quantum Information Processing, 2020, 19
  • [36] Parrondo's game using a discrete-time quantum walk
    Chandrashekar, C. M.
    Banerjee, Subhashish
    PHYSICS LETTERS A, 2011, 375 (14) : 1553 - 1558
  • [37] Properties of distribution and entanglement in discrete-time quantum walk with percolation
    An Zhi-Yun
    Li Zhi-Jian
    ACTA PHYSICA SINICA, 2017, 66 (13)
  • [38] Discrete-time quantum walk on the Cayley graph of the dihedral group
    Wenjing Dai
    Jiabin Yuan
    Dan Li
    Quantum Information Processing, 2018, 17
  • [39] Discrete-time quantum walk on complex networks for community detection
    Mukai, Kanae
    Hatano, Naomichi
    PHYSICAL REVIEW RESEARCH, 2020, 2 (02):
  • [40] On the Relationship Between Continuous- and Discrete-Time Quantum Walk
    Andrew M. Childs
    Communications in Mathematical Physics, 2010, 294 : 581 - 603
12345