One-dimensional quantum walks with two-step memory

被引：0
|
作者：
Zhou, Qing [1 ,2 ]
Lu, Songfeng [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Cyber Sci & Engn, Wuhan 430074, Hubei, Peoples R China
[2] Shenzhen Huazhong Univ Sci & Technol, Res Inst, Shenzhen 518063, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 12期
关键词：
Quantum walk with memory; Amplitudes; Hadamard walk;
D O I：
10.1007/s11128-019-2475-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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
页数：17
相关论文
共 50 条
  • [1] One-dimensional quantum walks with two-step memory
    Qing Zhou
    Songfeng Lu
    [J]. Quantum Information Processing, 2019, 18
  • [2] ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT
    Cantero, M. J.
    Gruenbaum, F. A.
    Moral, L.
    Velazquez, L.
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2012, 24 (02)
  • [3] One-dimensional quantum random walks with two entangled coins
    Liu, Chaobin
    Petulante, Nelson
    [J]. PHYSICAL REVIEW A, 2009, 79 (03):
  • [4] One-dimensional coinless quantum walks
    Portugal, Renato
    Boettcher, Stefan
    Falkner, Stefan
    [J]. PHYSICAL REVIEW A, 2015, 91 (05)
  • [5] One-dimensional lackadaisical quantum walks
    Wang, Kun
    Wu, Nan
    Xu, Ping
    Song, Fangmin
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (50)
  • [6] Quantum walks with a one-dimensional coin
    Bisio, Alessandro
    D'Ariano, Giacomo Mauro
    Erba, Marco
    Perinotti, Paolo
    Tosini, Alessandro
    [J]. PHYSICAL REVIEW A, 2016, 93 (06)
  • [7] ONE DIMENSIONAL QUANTUM WALKS WITH MEMORY
    Mc Gettrick, Michael
    [J]. QUANTUM INFORMATION & COMPUTATION, 2010, 10 (5-6) : 509 - 524
  • [8] Optical realization of one-dimensional generalized split-step quantum walks
    Yasir, P. A. Ameen
    Hegde, Abhaya S.
    Chandrashekar, C. M.
    [J]. OPTICS CONTINUUM, 2023, 2 (01): : 90 - 99
  • [9] Quantum walks of two interacting anyons in one-dimensional optical lattices
    Wang, Limin
    Wang, Li
    Zhang, Yunbo
    [J]. PHYSICAL REVIEW A, 2014, 90 (06):
  • [10] One-dimensional quantum walks with absorbing boundaries
    Bach, E
    Coppersmith, S
    Goldschen, MP
    Joynt, R
    Watrous, J
    [J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2004, 69 (04) : 562 - 592
12345