Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices

被引:0
|
作者
Hui Zhao
Yu Yang
Naihuan Jing
Zhi-Xi Wang
Shao-Ming Fei
机构
[1] Faculty of Science,Department of Mathematics
[2] Beijing University of Technology,Department of Mathematics
[3] North Carolina State University,School of Mathematical Sciences
[4] Capital Normal University,undefined
[5] Max-Planck-Institute for Mathematics in the Sciences,undefined
关键词
Heisenberg-Weyl representation; Genuine entanglement; Correlation tensor;
D O I
暂无
中图分类号
学科分类号
摘要
We study entanglement and genuine entanglement of tripartite and four-partite quantum states by using Heisenberg-Weyl (HW) representation of density matrices. Based on the correlation tensors in HW representation, we present criteria to detect entanglement and genuine tripartite and four-partite entanglement. Detailed examples show that our method can detect more entangled states than previous criteria.
引用
收藏
相关论文
共 40 条
  • [1] Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices
    Zhao, Hui
    Yang, Yu
    Jing, Naihuan
    Wang, Zhi-Xi
    Fei, Shao-Ming
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2022, 61 (05)
  • [2] Separability criteria based on Heisenberg-Weyl representation of density matrices
    Chang, Jingmei
    Cui, Meiyu
    Zhang, Tinggui
    Fei, Shao-Ming
    CHINESE PHYSICS B, 2018, 27 (03)
  • [3] Separability criteria based on Heisenberg–Weyl representation of density matrices
    常景美
    崔美钰
    张廷桂
    费少明
    Chinese Physics B, 2018, 27 (03) : 136 - 140
  • [4] Steerability criteria based on Heisenberg-Weyl observables
    Lai, Lemin
    Luo, Shunlong
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (11)
  • [5] Detection of genuine tripartite entanglement based on Bloch representation of density matrices
    Zhao, Hui
    Liu, Yu-Qiu
    Jing, Naihuan
    Wang, Zhi-Xi
    Fei, Shao-Ming
    QUANTUM INFORMATION PROCESSING, 2022, 21 (03)
  • [6] Detection of genuine tripartite entanglement based on Bloch representation of density matrices
    Hui Zhao
    Yu-Qiu Liu
    Naihuan Jing
    Zhi-Xi Wang
    Shao-Ming Fei
    Quantum Information Processing, 2022, 21
  • [7] A multipartite entanglement measure based on coefficient matrices
    Zhao, Chao
    Yang, Guo-wu
    Hung, William N. N.
    Li, Xiao-yu
    QUANTUM INFORMATION PROCESSING, 2015, 14 (08) : 2861 - 2881
  • [8] A multipartite entanglement measure based on coefficient matrices
    Chao Zhao
    Guo-wu Yang
    William N. N. Hung
    Xiao-yu Li
    Quantum Information Processing, 2015, 14 : 2861 - 2881
  • [9] On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group
    Amosov, G. G.
    Mokeev, A. S.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (02) : 457 - 463
  • [10] On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group
    G. G. Amosov
    A. S. Mokeev
    International Journal of Theoretical Physics, 2021, 60 : 457 - 463