DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS

被引：12

作者：

Bourin, J-C. ^{[1
]}

Lee, Eun-Young ^{[2
]}

机构：

[1] Univ Franche Comte, Math Lab, F-25000 Besancon, France

[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Positive definite matrices; norm inequalities; partial trace; separable state; STATES;

D O I：

10.1142/S0129167X13500109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H = [A(s, t)] be a positive definite matrix written in beta x beta Hermitian blocks and let Delta = A(1,1) + ... + A(beta, beta) be its partial trace. Assume that beta = 2(p) for some p is an element of N. Then, up to a direct sum operation, H is the average of beta matrices isometrically congruent to Delta. A few corollaries are given, related to important inequalities in quantum information theory such as the Nielsen-Kempe separability criterion.

引用

页数：13

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