Entropic relations for indistinguishable quantum particles

被引：0
作者：
Lemm, Marius [1 ]
机构：
[1] Univ Tubingen, Dept Math, D-72076 Tubingen, Germany
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2024年 / 2024卷 / 04期
关键词：
entanglement entropies; entanglement in extended quantum systems; quantum information; rigorous results in statistical mechanics; 2ND-ORDER ASYMPTOTICS; ENTANGLEMENT; STATE;
D O I：
10.1088/1742-5468/ad343a
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The von Neumann entropy of a k-body-reduced density matrix gamma k quantifies the entanglement between k quantum particles and the remaining ones. In this paper, we rigorously prove general properties of this entanglement entropy as a function of k; it is concave for all 1 <= k <= N and non-decreasing until the midpoint k <=(sic)N/2(sic). The results hold for indistinguishable quantum particles and are independent of the statistics.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Abrahamsen N, 2022, Arxiv, DOI arXiv:2203.16012
  • [2] Entanglement in many-body systems
    Amico, Luigi
    Fazio, Rosario
    Osterloh, Andreas
    Vedral, Vlatko
    [J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (02) : 517 - 576
  • [3] An Area Law for 2D Frustration-Free Spin Systems
    Anshu, Anurag
    Arad, Itai
    Gosset, David
    [J]. PROCEEDINGS OF THE 54TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING (STOC '22), 2022, : 12 - 18
  • [4] Entanglement in fermionic systems
    Banuls, Mari-Carmen
    Cirac, J. Ignacio
    Wolf, Michael M.
    [J]. PHYSICAL REVIEW A, 2007, 76 (02):
  • [5] COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES
    BENNETT, CH
    WIESNER, SJ
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (20) : 2881 - 2884
  • [6] Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
  • [7] Purification of noisy entanglement and faithful teleportation via noisy channels
    Bennett, CH
    Brassard, G
    Popescu, S
    Schumacher, B
    Smolin, JA
    Wootters, WK
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (05) : 722 - 725
  • [8] Berta M, 2015, QUANTUM INF COMPUT, V15, P1333
  • [9] Exponential Decay of Correlations Implies Area Law
    Brandao, Fernando G. S. L.
    Horodecki, Michal
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 333 (02) : 761 - 798
  • [10] Entanglement theory and the second law of thermodynamics
    Brandao, Fernando G. S. L.
    Plenio, Martin B.
    [J]. NATURE PHYSICS, 2008, 4 (11) : 873 - 877
12345