论文标题

量子通道的链条规则

Chain rules for quantum channels

论文作者

Berta, Mario, Tomamichel, Marco

论文摘要

通道的发散链规则将一对通道输入的差异与相应通道输出的差异联系起来。这种规则的一个重要特殊情况是数据处理不平等,这告诉我们,如果将同一渠道应用于两个输入,那么差异就不会增加。基于直接矩阵分析方法,我们得出了量子设置中通道的几个rényi发散链规则。我们的结果简化了,在某些情况下可以推广文献中的先前推导。

Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a rule is the data-processing inequality, which tells us that if the same channel is applied to both inputs then the divergence cannot increase. Based on direct matrix analysis methods, we derive several Rényi divergence chain rules for channels in the quantum setting. Our results simplify and in some cases generalise previous derivations in the literature.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源