Entanglement swapping is a process by which two initially independent quantum
systems can become entangled and generate nonlocal correlations. To
characterize such correlations, we compare them to those predicted by bilocal
models, where systems that are initially independent are described by
uncorrelated states. We extend in this paper the analysis of bilocal
correlations initiated in [Phys. Rev. Lett. 104, 170401 (2010)]. In particular,
we derive new Bell-type inequalities based on the bilocality assumption in
different scenarios, we study their possible quantum violations, and analyze
their resistance to experimental imperfections. The bilocality assumption,
being stronger than Bell's standard local causality assumption, lowers the
requirements for the demonstration of quantumness in entanglement swapping
experiments
