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Unbounded Bell violations for quantum genuine multipartite non-locality
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-06-17 , DOI: 10.1088/1751-8121/ab915b
Abderramn Amr 1 , Carlos Palazuelos 1, 2 , Julio I de Vicente 3
Affiliation  

The violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain information-theoretic tasks. The relative degree of quantum violations has been well studied in the bipartite scenario and in the multipartite scenario with respect to fully local behaviours. However, the multipartite setting entails a more complex classification in which different notions on non-locality can be established. In particular, genuine multipartite non-local distributions apprehend truly multipartite effects, given that these behaviours cannot be reproduced by bilocal models that allow correlations among strict subsets of the parties beyond a local common cause. We show here that, while in the so-called correlation scenario the relative violation of bilocal Bell inequalities by quantum resources is bounded, i.e. it does not grow arbitrarily with the number of inpu...

中文翻译:

量子真正的多局部非局部性的无界Bell侵犯

通过对量子态的测量违反了贝尔不等式,引起了量子非局部现象,并表达了在某些信息理论任务中使用量子资源而不是经典资源的优势。在完全局部行为方面,在二分场景和多分场景中,对量子违反的相对程度进行了很好的研究。但是,多部分设置需要更复杂的分类,其中可以建立关于非本地性的不同概念。特别是,真正的多方非本地分布具有真正的多方影响,因为这些行为无法通过双本地模型重现,该模型允许超出本地共同原因的各方严格子集之间的相关性。我们在这里表明,
更新日期:2020-06-18
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