论文标题

关于可区分性蒸馏和稀释指数

On distinguishability distillation and dilution exponents

论文作者

Wilde, Mark M.

论文摘要

在本说明中,我为可区分性蒸馏和稀释的任务定义了误差指数和强匡威指数。这些是一声可蒸馏的可区分性和一声可区分性成本的对应物,如先前在不对称区分性的资源理论中所定义的。我表明,可以通过半定义编程来评估它们,建立许多属性,使用Renyi相对熵绑定它们,并将它们相互关联。

In this note, I define error exponents and strong converse exponents for the tasks of distinguishability distillation and dilution. These are counterparts to the one-shot distillable distinguishability and the one-shot distinguishability cost, as previously defined in the resource theory of asymmetric distinguishability. I show that they can be evaluated by semi-definite programming, establish a number of their properties, bound them using Renyi relative entropies, and relate them to each other.

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