AI 中文总结
本文引入新型混合阶Rényi散度，定义对应互信息与条件熵，推导得到α∈[2,∞)夹逼Rényi散度下量子软覆盖与隐私放大的精确可靠性函数，首次完成量子软覆盖可靠性函数的精确表征。
AI 中文摘要
本文引入一种新型混合阶Rényi散度并研究其基本性质，利用该散度定义一族混合阶二阶Rényi互信息和Rényi条件熵。推导得到阶α∈[2,∞)的夹逼Rényi散度下量子软覆盖与隐私放大的精确可靠性函数，前者由夹逼散度与混合阶二阶Rényi互信息共同表征，后者由对应条件熵表征。这些结果为所提混合阶Rényi散度提供了操作层面的解释，据我们所知，这是首次对量子软覆盖可靠性函数的精确表征。
英文摘要
In this paper, we introduce a novel mixed-order Rényi divergence and investigate its fundamental properties. Using this divergence, we define a family of mixed-order order-two Rényi mutual information and Rényi conditional entropy. We derive exact reliability functions of quantum soft covering and privacy amplification under the sandwiched Rényi divergence with order $α\in[2,\infty)$. The former is jointly characterized by the sandwiched and mixed-order order-two Rényi mutual information quantities, while the latter is characterized by the corresponding conditional entropies. These results provide operational interpretations of the proposed mixed-order Rényi divergence. To the best of our knowledge, this is the first exact characterization of the reliability function for quantum soft covering.
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