In linear quantum networks with more than two independent sources, nonlocal correlations can appear even when all parties use compatible measurements, so measurement incompatibility is not always necessary for network nonlocality.
Bilocal versus non-bilocal correlations in entanglement swapping experiments
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Measurement Incompatibility Based In-equivalence Between Bell and Network Nonlocality
In linear quantum networks with more than two independent sources, nonlocal correlations can appear even when all parties use compatible measurements, so measurement incompatibility is not always necessary for network nonlocality.