Bell-type inequalities for arbitrary noncyclic networks
Bell-type inequalities for arbitrary noncyclic networks
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DOI：
10.1103/physreva.93.030101
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发表时间：
2015-10
影响因子：
2.9
通讯作者：
A. Tavakoli
中科院分区：
文献类型：
--
作者：
A. Tavakoli
贝尔不等式约束了在共享物理系统上测量的观测者之间的经典相关性的强度。然而，物理相关性的研究可以被认为超出了标准的贝尔方案，通过观察者网络共享许多独立的物理系统的一些配置。在这里，我们展示了如何为任何树结构网络中出现的相关性构造Bell型不等式，即，没有循环的网络这是通过一个迭代过程来实现的，在每一步中，允许一个添加一个分支到树结构的网络，并构造相应的贝尔型不等式。我们探讨我们的不等式在几个例子中，在所有这些例子中，我们表现出强烈的违反量子理论。
Bell inequalities bound the strength of classical correlations between observers measuring on a shared physical system. However, studies of physical correlations can be considered beyond the standard Bell scenario by networks of observers sharing some configuration of many independent physical systems. Here, we show how to construct Bell-type inequalities for correlations arising in any tree-structured network, i.e., networks without cycles. This is achieved by an iteration procedure that in each step allows one to add a branch to the tree-structured network and construct a corresponding Bell-type inequality. We explore our inequalities in several examples, in all of which we demonstrate strong violations from quantum theory.