One-dimensional quantum walks with two-step memory

被引：0
|
作者：
Qing Zhou
Songfeng Lu
机构：
[1] Huazhong University of Science and Technology,School of Cyber Science and Engineering
[2] Shenzhen Huazhong University of Science and Technology Research Institute,undefined
来源：
Quantum Information Processing | 2019年 / 18卷
关键词：
Quantum walk with memory; Amplitudes; Hadamard walk;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate one-dimensional quantum walks with two-step memory, which can be viewed as an extension of quantum walks with one-step memory. We develop a general formula for the amplitudes of the two-step memory walk with Hadamard coin by using path integral approach and numerically simulate its process. The simulation shows that the probability distribution of this new walk is different from that of the Hadamard quantum walk with one-step memory, while it presents some similarities with that of the normal Hadamard quantum walk without memory.
引用
收藏
相关论文
共 50 条
  • [41] Multiparticle Quantum Walks and Fisher Information in One-Dimensional Lattices
    Cai, Xiaoming
    Yang, Hongting
    Shi, Hai-Long
    Lee, Chaohong
    Andrei, Natan
    Guan, Xi-Wen
    [J]. PHYSICAL REVIEW LETTERS, 2021, 127 (10)
  • [42] One-dimensional quantum walks with a general perturbation of the radius 1
    Ryazanov, M., V
    Zamyatin, A. A.
    [J]. MARKOV PROCESSES AND RELATED FIELDS, 2018, 24 (02) : 255 - 272
  • [43] One-dimensional quantum walks with a position-dependent coin
    Ahmad, Rashid
    Sajjad, Uzma
    Sajid, Muhammad
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (06)
  • [44] One-dimensional quantum walks with a position-dependent coin
    Rashid Ahmad
    Uzma Sajjad
    Muhammad Sajid
    [J]. Communications in Theoretical Physics, 2020, 72 (06) : 20 - 30
  • [45] Unitary equivalence classes of one-dimensional quantum walks II
    Hiromichi Ohno
    [J]. Quantum Information Processing, 2017, 16
  • [46] Discrete-time quantum walks on one-dimensional lattices
    X.-P. Xu
    [J]. The European Physical Journal B, 2010, 77 : 479 - 488
  • [47] Discrete-time quantum walks on one-dimensional lattices
    Xu, X. -P.
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2010, 77 (04): : 479 - 488
  • [48] Electrochemical Reduction of Hexavalent Chromium on Two-step Electrosynthesized One-dimensional Polyaniline Nanowire
    Fang, Xiaohong
    Zhang, Guoquan
    Chen, Jie
    Wang, Dong
    Yang, Fenglin
    [J]. INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE, 2012, 7 (12): : 11847 - 11858
  • [49] Two-step Dirichlet random walks
    Le Caer, Gerard
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 430 : 201 - 215
  • [50] The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition
    Matsuzawa, Yasumichi
    Suzuki, Akito
    Tanaka, Yohei
    Teranishi, Noriaki
    Wada, Kazuyuki
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2023,
12345