Abstract
We investigate optimization of dichotomic local phase measurement settings for multipartite quantum systems. We first describe a method of constructing a single multipartite Bell inequality by treating the correlation function as an n-index tensor. Under a set of local phase measurement settings, we calculate the quantum prediction of the generalized Greenberger–Horne–Zeilinger state and show the exact relationship between quantum prediction and the phase factors. We show that there exists a set of optimal measurement settings relevant to maximal quantum prediction, which can contribute to testing multipartite Bell inequality in a straightforward manner. Also, we provide quantum simulation and numerical analysis with these optimal measurement settings.
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