Quantum state transfer on unsymmetrical graphs via discrete-time quantum walk

被引：7
|
作者：
Cao, Wei-Feng [1 ]
Yang, Yu-Guang [2 ]
Li, Dan [3 ]
Dong, Jing-Ru [2 ]
Zhou, Yi-Hua [2 ]
Shi, Wei-Min [2 ]
机构：
[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Henan, Peoples R China
[2] Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing 210016, Jiangsu, Peoples R China
来源：
MODERN PHYSICS LETTERS A | 2019年 / 34卷 / 38期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Quantum state transfer; quantum walk; butterfly network; NETWORK;
D O I：
10.1142/S0217732319503176
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Perfect state transfer can be achieved between two marked vertices of graphs like a star graph, a complete graph with self-loops and a complete bipartite graph, and two-dimensional Lattice by means of discrete-time quantum walk. In this paper, we investigate the quality of quantum state transfer between two marked vertices of an unsymmetrical graph like the butterfly network. Our numerical results support the conjecture that the fidelity of state transfer depends on the quantum state to be transferred dynamically. The butterfly network is a typical example studied in networking coding. Therefore, these results can provide a clue to the construction of quantum network coding schemes.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Mimicking the Hadamard discrete-time quantum walk with a time-independent Hamiltonian
    Moqadam, Jalil Khatibi
    de Oliveira, M. C.
    QUANTUM INFORMATION PROCESSING, 2019, 18 (05)
  • [32] Mimicking the Hadamard discrete-time quantum walk with a time-independent Hamiltonian
    Jalil Khatibi Moqadam
    M. C. de Oliveira
    Quantum Information Processing, 2019, 18
  • [33] Massless Dirac equation from Fibonacci discrete-time quantum walk
    Di Molfetta G.
    Honter L.
    Luo B.B.
    Wada T.
    Shikano Y.
    Quantum Studies: Mathematics and Foundations, 2015, 2 (3) : 243 - 252
  • [34] DISCRETE RANDOMNESS IN DISCRETE TIME QUANTUM WALK: STUDY VIA STOCHASTIC AVERAGING
    Ellinas, D.
    Bracken, A. J.
    Smyrnakis, I.
    REPORTS ON MATHEMATICAL PHYSICS, 2012, 70 (02) : 221 - 227
  • [35] Improving the efficiency of quantum hash function by dense coding of coin operators in discrete-time quantum walk
    YuGuang Yang
    YuChen Zhang
    Gang Xu
    XiuBo Chen
    Yi-Hua Zhou
    WeiMin Shi
    Science China(Physics,Mechanics & Astronomy), 2018, (03) : 22 - 29
  • [36] Improving the efficiency of quantum hash function by dense coding of coin operators in discrete-time quantum walk
    YuGuang Yang
    YuChen Zhang
    Gang Xu
    XiuBo Chen
    Yi-Hua Zhou
    WeiMin Shi
    Science China Physics, Mechanics & Astronomy, 2018, 61
  • [37] Improving the efficiency of quantum hash function by dense coding of coin operators in discrete-time quantum walk
    Yang, YuGuang
    Zhang, YuChen
    Xu, Gang
    Chen, Xiubo
    Zhou, Yi-Hua
    Shi, WeiMin
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2018, 61 (03)
  • [38] Pretty good quantum state transfer in asymmetric graphs via potential
    Eisenberg, Or
    Kempton, Mark
    Lippner, Gabor
    DISCRETE MATHEMATICS, 2019, 342 (10) : 2821 - 2833
  • [39] Disordered discrete-time quantum walk over max-plus algebra
    Firmansyah, Mohamad Ilham Dwi
    Mufid, Muhammad Syifa'ul
    Davvaz, Bijan
    DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2025, : 1 - 21
  • [40] Limitations of discrete-time quantum walk on a one-dimensional infinite chain
    Lin, Jia-Yi
    Zhu, Xuanmin
    Wu, Shengjun
    PHYSICS LETTERS A, 2018, 382 (13) : 899 - 903
12345