论文标题
Mermin和Svetlichny的不平等现象，用于非注射测量值
Mermin and Svetlichny inequalities for non-projective measurement observables
论文作者
论文摘要
提出了违反三分之一国家的违反Mermin和Svetlichny不平等现象的必要标准。早些时候，已经进行了几次尝试以找到此类标准，但是，在大多数情况下，这些现存的标准既不紧密，也不是完全笼统的。我们概括了Mermin和Svetlichny不平等现有标准，这些标准适用于本地投射测量可观察到的以及对任意的测量值有效的。我们获得了Mermin和Svetlichny运算符的最大可实现界限，具有无偏见的测量值，可观察到任意三分之三状态，并且具有最大混合边缘的三量态状态的任意可观测值。我们发现，对于某些测量强度的范围，只有通过有偏见的测量可观察到，才有可能违反Mermin和Svetlichny的不平等。还提出了违反六个可能的Mermin和Svetlichny不平等中任何一个的必要标准。
The necessary and sufficient criteria for violating the Mermin and Svetlichny inequalities by arbitrary three-qubit states are presented. Several attempts have been made, earlier, to find such criteria, however, those extant criteria are neither tight for most of the instances, nor fully general. We generalize the existing criteria for Mermin and Svetlichny inequalities which are valid for the local projective measurement observables as well as for the arbitrary ones. We obtain the maximal achievable bounds of the Mermin and Svetlichny operators with unbiased measurement observables for arbitrary three-qubit states and with arbitrary observables for three-qubit states having maximally mixed marginals. We find that for certain ranges of measurement strengths, it is possible to violate Mermin and Svetlichny inequalities only by biased measurement observables. The necessary and sufficient criteria of violating any one of the six possible Mermin and Svetlichny inequalities are also derived.
