Classification of the entangled states 2 x M x N

被引：3
|
作者：
Li, Jun-Li [1 ]
Qiao, Cong-Feng [1 ,2 ]
机构：
[1] Chinese Acad Sci, Grad Univ, Dept Phys, Beijing 100049, Peoples R China
[2] Chinese Acad Sci, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2013年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Entanglement classification; Matrix decomposition; Tripartite entanglement; QUANTUM; COMMUNICATION;
D O I：
10.1007/s11128-012-0370-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We extend the matrix decomposition method (MDM) in classifying the 2 x N x N truly entangled states to 2 x M x N system under the condition of stochastic local operations and classical communication. It is found that the MDM is quite practical and convenient in operation for the asymmetrical tripartite states, and an explicit example of the classification of 2 x 6 x 7 quantum system is presented.
引用
收藏
页码：251 / 268
页数：18
相关论文
共 50 条
  • [41] On the neutral Hermite product of the distributions x±n and δ(m)(x)
    Shen, Chun
    Sun, Meina
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (06) : 387 - 398
  • [42] Rank classification of 2 x 2 x 2 x 2 x 2 tensors over F2
    Stavrou, Stavros G.
    Low, Richard M.
    Hernandez, Nicholas J.
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (11): : 2297 - 2312
  • [43] SOLUTION OF EQUATION AX + XB = C BY INVERSION OF AN M X M OR N X N MATRIX
    JAMESON, A
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1968, 16 (05) : 1020 - &
  • [44] On the mean value of L(m,X)L(n, X) at positive integers m,n≥1
    Liu, Huaning
    Zhang, Wenpeng
    ACTA ARITHMETICA, 2006, 122 (01) : 51 - 56
  • [45] On the diophantine equation x(2)-p(m)=+/-y(n)
    Bugeaud, Y
    ACTA ARITHMETICA, 1997, 80 (03) : 213 - 223
  • [46] THE DIOPHANTINE EQUATION X(2)+Q(M)=P(N)
    TERAI, N
    ACTA ARITHMETICA, 1993, 63 (04) : 351 - 358
  • [47] Beamlike photon pairs entangled by a 2 x 2 fiber
    Lo, Hsin-Pin
    Yabushita, Atsushi
    Luo, Chih-Wei
    Chen, Pochung
    Kobayashi, Takayoshi
    PHYSICAL REVIEW A, 2011, 84 (02):
  • [48] Typical ranks of m x n x (m - 1)n tensors with 3 ≤ m ≤ n over the real number field
    Sumi, Toshio
    Miyazaki, Mitsuhiro
    Sakata, Toshio
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (05): : 940 - 955
  • [49] Interlayer couplings in homobilayer structures of M Si 2 X 4 (M = Mo, W; X = N, P, As)
    Wang, Qian
    Zhang, Na
    Yu, Hongyi
    PHYSICAL REVIEW B, 2024, 110 (15)
  • [50] Exploring the geometrical structures of X©BnHnm [(X, m) = (B,+1), (C,+2) for n=5; (X, m) = (Be, 0), (B,+1) for n=6] by an electronic method
    Hou, Jianhua
    Chen, Ying
    Duan, Qian
    Liang, Qingcheng
    Jiang, Dayong
    Liu, Wanqiang
    Yan, Bing
    Li, Zhiru
    Gu, Fenglong
    Li, Qianshu
    NEW JOURNAL OF CHEMISTRY, 2015, 39 (11) : 8630 - 8637
12345