4.6 Article

A limit of the quantum Renyi divergence

出版社

IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/4/045304

关键词

quantum Renyi divergence; one-shot information theory; 0-relative Renyi entropy

资金

  1. Engineering and Physical Sciences Research Council [1360752] Funding Source: researchfish

向作者/读者索取更多资源

Recently, an interesting quantity called the quantum Renyi divergence (or 'sandwiched' Renyi relative entropy) was defined for pairs of positive semidefinite operators rho and sigma. It depends on a parameter alpha and acts as a parent quantity for other relative entropies which have important operational significance in quantum information theory: the quantum relative entropy and the min- and max-relative entropies. There is, however, another relative entropy, called the 0-relative Renyi entropy, which plays a key role in the analysis of various quantum information-processing tasks in the one-shot setting. We prove that the 0-relative Renyi entropy is obtainable from the quantum Renyi divergence only if rho and sigma have equal supports. This, along with existing results in the literature, suggests that it suffices to consider two essential parent quantities from which operationally relevant entropic quantities can be derived-the quantum Renyi divergence with parameter alpha >= 1/2, and the alpha-relative Renyi entropy with alpha is an element of [0, 1).

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.6
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据