Parameterization of Translation-Invariant Two-Dimensional Two-State Quantum Walks

被引:2
|
作者
Ohno H. [1 ]
机构
[1] Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano
基金
日本学术振兴会;
关键词
Quantum walks; Translation-invariant quantum walks; Two-dimensional two-state quantum walks; Unitary equivalence;
D O I
10.1007/s40306-018-0278-8
中图分类号
学科分类号
摘要
This study investigates unitary equivalence classes of translation-invariant two-dimensional two-state quantum walks. We show that unitary equivalence classes of such quantum walks are essentially parameterized by two real parameters. © 2018, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
引用
收藏
页码:737 / 747
页数:10
相关论文
共 50 条
  • [21] Mixing times in quantum walks on two-dimensional grids
    Marquezino, F. L.
    Portugal, R.
    Abal, G.
    PHYSICAL REVIEW A, 2010, 82 (04):
  • [22] OPERATORS IN A TRANSLATION INVARIANT TWO-DIMENSIONAL BAG MODEL
    JAFFE, RL
    ANNALS OF PHYSICS, 1981, 132 (01) : 32 - 52
  • [23] Quantum two-state sharing
    Ma, Peng-Cheng
    Chen, Gui-Bin
    Li, Xiao-Wei
    Zhan, You-Bang
    MODERN PHYSICS LETTERS B, 2021, 35 (17):
  • [24] On limit set of two-dimensional two-state linear cellular automaton rules
    Takada, Koichi
    Namiki, Takao
    2014 SECOND INTERNATIONAL SYMPOSIUM ON COMPUTING AND NETWORKING (CANDAR), 2014, : 470 - 475
  • [25] Fractional scaling of quantum walks on two-dimensional percolation lattices
    Kendon, Viv
    Leung, Godfrey
    Knott, Paul
    Bailey, Joe
    QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC): THE TENTH INTERNATIONAL CONFERENCE, 2011, 1363
  • [26] Geometrical aspects of quantum walks on random two-dimensional structures
    Anishchenko, Anastasiia
    Blumen, Alexander
    Muelken, Oliver
    PHYSICAL REVIEW E, 2013, 88 (06):
  • [27] Quantum Walks on Two-Dimensional Grids with Multiple Marked Locations
    Nahimovs, Nikolajs
    Rivosh, Alexander
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2018, 29 (04) : 687 - 700
  • [28] A GAUGE INVARIANT APPROACH TO TWO-DIMENSIONAL QUANTUM CHROMODYNAMICS
    KIKKAWA, K
    ANNALS OF PHYSICS, 1981, 135 (02) : 222 - 236
  • [29] LIMIT DISTRIBUTIONS FOR DIFFERENT FORMS OF FOUR-STATE QUANTUM WALKS ON A TWO-DIMENSIONAL LATTICE
    Machida, Takuya
    Chandrashekar, C. M.
    Konno, Norio
    Busch, Thomas
    QUANTUM INFORMATION & COMPUTATION, 2015, 15 (13-14) : 1248 - 1258
  • [30] Generation of high-dimensional qudit quantum states via two-dimensional quantum walks
    Esposito, Chiara
    Di Colandrea, Francesco
    Hoch, Francesco
    Carvacho, Gonzalo
    Cardano, Filippo
    Spagnolo, Nicole
    Marrucci, Lorenzo
    Sciarrino, Fabio
    PHYSICAL REVIEW RESEARCH, 2023, 5 (04):