In 1991, a new class of information-theoretic divergence measures based on the Shannon entropy was introduced by Lin (1991). In this paper, we discuss the quantum extensions of the Tsallis–Lin relative entropy for two density matrices. Then some properties of Tsallis and Tsallis–Lin quantum relative entropies and their relationship to quantum Tsallis–Jensen–Shannon divergence are studied.

中文翻译：

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Tsallis和Tsallis-Lin量子相对熵的某些性质

1991年，Lin（1991）提出了基于Shannon熵的一类新的信息理论差异度量。在本文中，我们讨论了两个密度矩阵的Tsallis-Lin相对熵的量子扩展。然后研究了Tsallis和Tsallis-Lin量子相对熵的一些性质以及它们与量子Tsallis-Jensen-Shannon发散的关系。