论文标题
多部分系统中的合作与依赖关系
Cooperation and dependencies in multipartite systems
论文作者
论文摘要
我们为合作中获得的优势提出了一个信息理论量化符，以捕获全球系统子系统之间的依赖程度。尽管与它们共享许多属性，但量词与多方相关性的度量不同。它可以直接适用于经典和量子系统，并减少比较任何两个子系统之间的各个条件相互信息。示例性地表明，使用新量化器进行对称量子秘密共享的好处。我们还证明了一种不平等的表征，表征了当地运营下有条件互信息的单调性，并为其提供了直观的理解。这强调了此处引入的多部分依赖度量与多部分相关性之间的区别。
We propose an information-theoretic quantifier for the advantage gained from cooperation that captures the degree of dependency between subsystems of a global system. The quantifier is distinct from measures of multipartite correlations despite sharing many properties with them. It is directly computable for classical as well as quantum systems and reduces to comparing the respective conditional mutual information between any two subsystems. Exemplarily we show the benefits of using the new quantifier for symmetric quantum secret sharing. We also prove an inequality characterizing the lack of monotonicity of conditional mutual information under local operations and provide intuitive understanding for it. This underlines the distinction between the multipartite dependence measure introduced here and multipartite correlations.
