论文标题

从本地组中激活最强可能的非局部性:消除范式

Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm

论文作者

Ghosh, Subhendu B., Gupta, Tathagata, V., Ardra A., Bhowmik, Anandamay Das, Saha, Sutapa, Guha, Tamal, Mukherjee, Amit

论文摘要

除了处理从局部输入输出统计产生的相关性的钟形非局部性外,量子理论还表现出另一种非局部性,涉及本地准备的一组多部分状态的固定性。尽管贝尔型非局部性不能从给定的局部相关性中提取,但已经报道说,后一种非局部性可以从“局部”(即本地可区分的状态集)中激活。尽管最近表明,这种非局部性的更强烈的概念可以从消除而不是歧视的情况下进行激活,从本地准备的尺寸7 $ \ times $ 8的局部准备的两分状状态进行激活,但目前的工作观察到,即使在较低的维度多方分支机构中,也可以证明相同的概念也可以证明相同的概念。重要的是,此处进一步描述了这种激活的最强大版本,即使当事各方除了汇聚在一起,都无法消除转换的产品状态。

Apart from the Bell nonlocality, which deals with the correlations generated from the local input-output statistics, quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of multipartite states. While Bell-type nonlocality cannot be distilled from a given local correlation, it is already reported that the latter kind of nonlocality can be activated from a "local", i.e., locally distinguishable set of states. Although, recently it is shown that a stronger notion of such a nonlocality, which deals with elimination instead of discrimination, can be activated from locally preparable bipartite states of dimension 7 $\times$ 8, the present work observes that the same notion can be demonstrated even in lower dimensional multipartite systems. Importantly,the strongest possible version of such an activation is further depicted here, where none of the transformed product states can be eliminated, even if all but one of the parties come together.

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