Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States

被引：8
|
作者：
Carlen, Eric A. [1 ]
Lieb, Elliott H. [2 ]
Reuvers, Robin [3 ]
机构：
[1] Rutgers State Univ, Hill Ctr, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA
[2] Princeton Univ, Dept Math & Phys, Jadwin Hall,Washington Rd, Princeton, NJ 08544 USA
[3] Princeton Univ, Dept Phys, Jadwin Hall,Washington Rd, Princeton, NJ 08544 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2016年 / 344卷 / 03期
基金：
美国国家科学基金会; 欧洲研究理事会;
关键词：
Entropy; Density Matrix; Mutual Information; Reduce Density Matrix; Fermionic State;
D O I：
10.1007/s00220-016-2651-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states.
引用
收藏
页码：655 / 671
页数：17
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