论文标题

古典和量子纠缠的通信方案之间的相互作用

Interplays between classical and quantum entanglement-assisted communication scenarios

论文作者

Vieira, Carlos, de Gois, Carlos, Pollyceno, Lucas, Rabelo, Rafael

论文摘要

以多种形式的准备和测量场景可以看作是通信任务的基本构建块。因此,它们可用于分析各种经典和量子协议(其中密集的编码和随机访问代码是关键示例)以统一的方式进行分析。特别是,将纠缠用作准备和衡量场景中的资源,直到最近才开始系统地研究,许多关键问题仍然开放。在这项工作中,我们探讨了这种情况并为一些开创性问题提供答案。更具体地说,我们表明,在纠缠是免费资源的情况下,量子消息等同于具有容量两倍的经典消息。我们还证明,在这种情况下,当事方共享比传输消息的纠缠状态始终是有利的。最后,我们表明,不可行动的状态无法在经典的通信任务中提供优势,因此证明并非所有纠缠状态都是在这些情况下都是有用的资源。

Prepare-and-measure scenarios, in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols -- of which dense coding and random access codes are key examples -- in a unified manner. In particular, the use of entanglement as a resource in prepare-and-measure scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios.

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