We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels—useless channels for communication tasks—are considered as free resources. We find that our theory with such a simple structure is useful to address central problems in quantum Shannon theory—in particular, we provide a converse bound for the one-shot nonsignaling assisted classical capacity that naturally leads to its strong converse property, as well as obtain the one-shot channel simulation cost with nonsignaling assistance. We clarify an intimate connection between the nonsignaling assistance and our formalism by identifying the nonsignaling assisted channel coding with the channel transformation under the maximal set of resource nongenerating superchannels, providing a physical characterization of the latter. Our results provide new perspectives and concise arguments to those problems, connecting the recently developed fields of resource theories to “classic” settings in quantum information theory and shedding light on the validity of resource theories of channels as effective tools to address practical problems.

中文翻译：

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渠道资源理论在通信场景中的应用

我们介绍了与通过量子通道进行通信有关的通道的资源理论，在该理论中，恒定通道集（用于通信任务的无用通道）被视为自由资源。我们发现，具有如此简单结构的理论对于解决量子香农理论中的中心问题很有用，特别是，我们为单发非信号辅助经典能力提供了相反的界线，自然地会导致其强大的逆向特性，以及在无信号协助下获得一次性仿真信道的成本。我们通过在资源非生成超级通道的最大集合下使用通道变换来识别非信令辅助通道编码，从而阐明了非信令辅助通道和形式主义之间的紧密联系，从而提供了后者的物理特征。