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Imperfections from devices can result in the decay or even vanish ofnon-n-local correlations as the number of parties n increases in the polygonand linear quantum networks ([Phys. Rev. A 106, 042206 (2022)] and [Phys. Rev.A 107, 032404 (2023)]). Even so this phenomenon is also for the special kind ofnoises, including consistency noises of a sequence of devices, which means thesequence of devices have the same probability fails to detect. However, in thepaper, we discover that star network quantum non-n-local correlations canresist better consistency noises than these in polygon and linear networks. Wefirst calculate the noisy expected value o f star network non-n-locality andanalyze the persistency conditions theoretically. When assume that congenerdevices have the consistency noise, the persistency number of sources n hasbeen rid of such noises, and approximates to the infinity. Polygon and linearnetwork non-n-local correlations can not meet the requirements. Furthermore, weexplore the change pattern of the maximal number of sources nmax such thatnon-nmax-local correlation can be demonstrated in the star network under theinfluence of partially consistent noises, which is more general than consistentones.

Star network non-n-local correlations can resist consistency noises better