论文标题

量子理论中的部分无知沟通任务

Partial ignorance communication tasks in quantum theory

论文作者

Kerppo, Oskari

论文摘要

我们介绍了部分无知的沟通概括,即准备和衡量设置的双方在对测量​​和准备工作中最大程度地提出成功指标之前接收了第三方的输入。使用各种方法来获得成功指标的界限,包括SDP,通信矩阵的超视单单调和量子状态的框架理论。在新的广义准备和测量设置中,最简单的方案,简称为部分无知通信任务,对位和Qudits进行了详尽的分析。最后,新的广义设置允许将操作等价引入到制剂和测量中,从而使我们能够在一项通信任务中分析和观察量子理论的上下文优势。

We introduce a generalization of communication of partial ignorance where both parties of a prepare-and-measure setup receive inputs from a third party before a success metric is maximized over the measurements and preparations. Various methods are used to obtain bounds on the success metrics, including SDPs, ultraweak monotones for communication matrices and frame theory for quantum states. Simplest scenarios in the new generalized prepare-and-measure setting, simply called partial ignorance communication tasks, are analysed exhaustively for bits and qudits. Finally, the new generalized setting allows the introduction of operational equivalences to the preparations and measurements, allowing us to analyse and observe a contextual advantage for quantum theory in one of the communication tasks.

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