Weak Quasi-Factorization for the Belavkin-Staszewski Relative Entropy

被引：2
|
作者：
Bluhm, Andreas [1 ]
Capel, Angela [2 ]
Perez-Hernandez, Antonio [3 ]
机构：
[1] Univ Copenhagen, QMATH, Dept Math Sci, DK-2100 Copenhagen, Denmark
[2] Tech Univ Munich, Zentrum Math, D-85748 Garching, Germany
[3] Univ Nacl Educ Distancia, ETS Ingn Ind, Dept Matemat Aplicada, Madrid 28040, Spain
来源：
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2021年
基金：
欧盟地平线“2020”;
关键词：
INEQUALITIES;
D O I：
10.1109/ISIT45174.2021.9517893
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Quasi-factorization-type inequalities for the relative entropy have recently proven to be fundamental in modern proofs of modified logarithmic Sobolev inequalities for quantum spin systems. In this paper, we show some results of weak quasi-factorization for the Belavkin-Staszewski relative entropy, i.e. upper bounds for the BS-entropy between two bipartite states in terms of the sum of two conditional BS-entropies, up to some multiplicative and additive factors.
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页码：118 / 123
页数：6
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