Uniform Additivity in Classical and Quantum Information
Uniform Additivity in Classical and Quantum Information
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DOI：
10.1103/physrevlett.118.040501
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发表时间：
2017-01-27
影响因子：
8.6
通讯作者：
Smith, Graeme
中科院分区：
文献类型：
--
作者：
Cross, Andrew;Li, Ke;Smith, Graeme
信息论通常用熵来量化资源相互转换的最佳速率。然而，不可加性常常使熵公式的计算变得棘手。在少数有利的情况下，可加性允许对最优速率进行完整的表征。我们研究了公式的一致可加性，它很容易被评估并捕获了所有已知的可加性量子公式。我们对一致可加性的完整刻画揭示了一个有趣的新可加量，并确定了一个显著的巧合-具有一个辅助变量的经典和量子一致可加函数是相同的。
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.