Detecting nontrilocal correlations in a triangle network

Correlations in quantum networks with independent sources exhibit a completely novel form of nonclassicality the sense that nonlocality such correlations can be demonstrated fixed local input scenarios. Before pioneering work Renou et al. [Phys. Rev. Lett. 123, 140401 (2019)], nonlocal feature network was directly attributable to standard Bell nonlocality. In above-mentioned reference, authors provided some first examples triangle correlations, whose cannot deduced from Bell-CHSH To date, complete characterization scenarios has yet provided. The present characterizes arising due measurements under source independence assumption. Precisely speaking, set criteria is framed Bell-type inequalities, each which necessarily satisfied by trilocal correlations. Possible violation at least one criterion analyzed, turn points out utility detect (nontrilocality) networks. Interestingly, measurement on product state basis turns sufficient generate nontrilocal Noise tolerance detection discussed followed generalization framework for demonstrating any $n$-sided polygon where $n$ finite.