Hierarchical Polygamy Inequality for Entanglement of Tsallis q-Entropy

被引：5
作者：
Luo, Yu [1 ,2 ]
Li, Yong-Ming [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Shaanxi, Peoples R China
[2] Univ Technol Sydney, Ctr Quantum Software & Informat UTS Q SI, Fac Engn & Informat Technol, Sydney, NSW, Australia
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2018年 / 69卷 / 05期
基金：
中国国家自然科学基金;
关键词：
polygamy; entanglement; Tsallis q-entropy; MONOGAMY;
D O I：
10.1088/0253-6102/69/5/532
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the polygamy inequality of quantum entanglement in terms of Tsallis q-entropy. We first give a lower bound of Tsallis q-entropy entanglement of assistance (TOA) in the 2 circle times d systems. The relationships between Tsallis q-entropy entanglement (TEE) and TOA are also given. Furthermore, we prove TOA follows a hierarchical polygamy inequality in a 2 circle times 2 circle times 2(N-2) systems.
引用
收藏
页码：532 / 536
页数：5
相关论文
共 53 条
  • [1] Nonadditive conditional entropy and its significance for local realism
    Abe, S
    Rajagopal, AK
    [J]. PHYSICA A, 2001, 289 (1-2): : 157 - 164
  • [2] Strong monogamy of bipartite and genuine multipartite entanglement: The Gaussian case
    Adesso, Gerardo
    Illuminati, Fabrizio
    [J]. PHYSICAL REVIEW LETTERS, 2007, 99 (15)
  • [3] Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
    Adesso, Gerardo
    Illuminati, Fabrizio
    [J]. PHYSICAL REVIEW A, 2008, 78 (04)
  • [4] Entanglement in many-body systems
    Amico, Luigi
    Fazio, Rosario
    Osterloh, Andreas
    Vedral, Vlatko
    [J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (02) : 517 - 576
  • [5] Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
    Bai, Yan-Kui
    Xu, Yuan-Fei
    Wang, Z. D.
    [J]. PHYSICAL REVIEW A, 2014, 90 (06):
  • [6] General Monogamy Relation for the Entanglement of Formation in Multiqubit Systems
    Bai, Yan-Kui
    Xu, Yuan-Fei
    Wang, Z. D.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 113 (10)
  • [7] Exploring multipartite quantum correlations with the square of quantum discord
    Bai, Yan-Kui
    Zhang, Na
    Ye, Ming-Yong
    Wang, Z. D.
    [J]. PHYSICAL REVIEW A, 2013, 88 (01):
  • [8] No signaling and quantum key distribution
    Barrett, J
    Hardy, L
    Kent, A
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (01)
  • [9] Conditional q-entropies and quantum separability:: a numerical exploration
    Batle, J
    Plastino, AR
    Casas, M
    Plastino, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (48): : 10311 - 10324
  • [10] Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
123456