  In the last decade, it was understood that quantum networks involving several
independent sources of entanglement which are distributed and measured by
several parties allowed for completely novel forms of nonclassical quantum
correlations, when entangled measurements are performed. Here, we
experimentally obtain quantum correlations in a triangle network structure, and
provide solid evidence of its nonlocality. Specifically, we first obtain the
elegant distribution proposed in (Entropy 21, 325) by performing a six-photon
experiment. Then, we justify its nonlocality based on machine learning tools to
estimate the distance of the experimentally obtained correlation to the local
set, and through the violation of a family of conjectured inequalities tailored
for the triangle network.
