Simplification of additivity conjecture in quantum information theory

被引：14

作者：

Fukuda, Motohisa ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, Stat Lab, Cambridge, England

来源：

QUANTUM INFORMATION PROCESSING | 2007年 / 6卷 / 03期

关键词：

quantum channel; unital quantum channel; additivity; multiplicativity;

D O I：

10.1007/s11128-007-0051-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. In this paper, by using some unital extension of quantum channels, we show that proving one of these conjectures for all unital quantum channels would imply that it is also true for all quantum channels.

引用

页码：179 / 186

页数：8

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