Network nonlocality sharing via weak measurements in the extended bilocal scenario

Quantum network correlations have attracted strong interest because they may reveal new types of locality violations. Here we investigated network nonlocality sharing in the extended bilocal scenario via weak measurements, which adds one more observer to either end of the well-known entanglement-swapping scenario. Intriguingly, network nonlocality sharing can be revealed from the multiple violation of the Branciard-Rosset-Gisin-Pironio inequality by considering two contrasting motivations of intermediate observers, which has no counterpart in standard Bell scenarios. In addition, the noise resistance of network nonlocality sharing was also discussed.