论文标题

Buscemi非局部性量子资源理论的运行意义

The operational significance of the quantum resource theory of Buscemi nonlocality

论文作者

Lipka-Bartosik, Patryk, Ducuara, Andrés, Purves, Tom, Skrzypczyk, Paul

论文摘要

尽管纠缠对于观察贝尔实验中的非局部性是必要的,但是有些纠缠的状态永远无法证明非局部相关性。在开创性的论文[PRL 108,200401(2012)] F. Buscemi通过允许Alice和Bob被问到Quantum而不是经典的问题来扩展标准的Bell实验。这引起了更广泛的非局部性概念,这是每个纠缠状态都可以观察到的。在这项工作中,我们研究了这种非局部性的资源理论,称为Buscemi非局部性。我们提出了一个几何量化器,以测量给定状态和局部测量产生BUSCEMI非本地相关性并确定其操作意义的能力。特别是,我们表明,任何可以证明BUSCEMI非局部相关性的分布式测量值都比任何在分布式状态歧视的任务中都不使用纠缠的分布式测量提供了严格的性能。我们还表明,可以使用给定状态生成的最大buscemi非局部性数量完全等于其纠缠含量。最后,我们证明了:Buscemi非局部性,执行非经典传送和纠缠的能力之间的定量关系。利用这种关系,我们提出了新的歧视任务,非经典传送和纠缠使其优于其经典对应物。

Although entanglement is necessary for observing nonlocality in a Bell experiment, there are entangled states which can never be used to demonstrate nonlocal correlations. In a seminal paper [PRL 108, 200401 (2012)] F. Buscemi extended the standard Bell experiment by allowing Alice and Bob to be asked quantum, instead of classical, questions. This gives rise to a broader notion of nonlocality, one which can be observed for every entangled state. In this work we study a resource theory of this type of nonlocality referred to as Buscemi nonlocality. We propose a geometric quantifier measuring the ability of a given state and local measurements to produce Buscemi nonlocal correlations and establish its operational significance. In particular, we show that any distributed measurement which can demonstrate Buscemi nonlocal correlations provides strictly better performance than any distributed measurement which does not use entanglement in the task of distributed state discrimination. We also show that the maximal amount of Buscemi nonlocality that can be generated using a given state is precisely equal to its entanglement content. Finally, we prove a quantitative relationship between: Buscemi nonlocality, the ability to perform nonclassical teleportation, and entanglement. Using this relationship we propose new discrimination tasks for which nonclassical teleportation and entanglement lead to an advantage over their classical counterparts.

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