Uniform Additivity in Classical and Quantum Information

被引：30

作者：

Cross, Andrew ^{[1
]}

Li, Ke ^{[1
,2
,3
]}

Smith, Graeme ^{[4
,5
]}

机构：

[1] IBM TJ Watson Res Ctr, Yorktown Hts, NY 10598 USA

[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[3] CALTECH, IQIM, Pasadena, CA 91125 USA

[4] Univ Colorado, JILA, Boulder, CO 80309 USA

[5] Univ Colorado, Dept Phys, Boulder, CO 80309 USA

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 118卷 / 04期

关键词：

CAPACITY; CHANNEL; SUPERACTIVATION; COMMUNICATION; ENTROPY; STATES;

D O I：

10.1103/PhysRevLett.118.040501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Information theory quantifies the optimal rates of resource interconversions, usually in terms of entropies. However, nonadditivity often makes evaluating entropic formulas intractable. In a few auspicious cases, additivity allows a full characterization of optimal rates. We study uniform additivity of formulas, which is easily evaluated and captures all known additive quantum formulas. Our complete characterization of uniform additivity exposes an intriguing new additive quantity and identifies a remarkable coincidence-the classical and quantum uniformly additive functions with one auxiliary variable are identical.

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页数：5

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