A GENERALIZED QUANTUM RELATIVE ENTROPY

被引：2

作者：

Andrade, Luiza H. F. ^{[1
]}

Vigelis, Rui F. ^{[2
,3
]}

Cavalcante, Charles C. ^{[2
,3
]}

机构：

[1] Univ Fed Rural Semi Arido, Dept Nat Sci Math & Stat, Mossoro, RN, Brazil

[2] Univ Fed Ceara, Comp Engn, Campus Sobral, Sobral, Ceara, Brazil

[3] Univ Fed Ceara, Dept Teleinformat Engn, Fortaleza, Ceara, Brazil

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2020年 / 14卷 / 03期

关键词：

Quantum relative entropy; quantum information theory; deformed exponential function; phi-families of probablity distributions; UNIQUENESS; FAMILIES;

D O I：

10.3934/amc.2020063

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We propose a generalization of the quantum relative entropy by considering the geodesic on a manifold formed by all the invertible density matrices P. This geodesic is defined from a deformed exponential function phi which allows to work with a wider class of families of probability distributions. Such choice allows important flexibility in the statistical model. We show and discuss some properties of this proposed generalized quantum relative entropy.

引用

页码：413 / 422

页数：10

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