Subadditivity of q-entropies for q>1

被引：60

作者：

Audenaert, Koenraad M. R. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2PG, England

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1063/1.2771542

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

I prove a basic inequality for Schatten q-norms of quantum states on a finite-dimensional bipartite Hilbert space H-1 circle times H-2: 1+parallel to rho parallel to(q)>=parallel to Tr-1 rho parallel to(q)+parallel to Tr-2 rho parallel to(q). This leads to a proof-in the finite-dimensional case-of Raggio's conjecture [G. A. Raggio, J. Math. Phys. 36, 4785 (1995)] that the q-entropies S-q(rho)=(1-Tr[rho(q)])/(q-1) are subadditive for q>1; that is, for any state rho, S-q(rho) is not greater than the sum of the S-q of its reductions, S-q(rho)<= S-q(Tr-1 rho)+S-q(Tr-2 rho).

引用

页数：3

Subadditivity of q-entropies for q&gt;1

Subadditivity of q-entropies for q>1