Network nonlocality sharing via weak measurements in the extended bilocal scenario

Abstract

Quantum network correlations have attracted strong interest as the emergency of the new types of violations of locality. Here we investigated network nonlocal sharing in the extended bilocal scenario via weak measurements. Interestingly, network nonlocal sharing can be revealed from the multiple violation of BRGP inequalities of any Alice_{n}-Bob-Charlie_{m}, which has no counterpart in the case of Bell nonlocal sharing scenario. Such discrepancy may imply an intrinsic difference between network nonlocality and Bell nonlocality. Passive and active network nonlocal sharing as two distinct types of nonlocality sharing have been completely analyzed. In addition, noise resistance of network nonlocal sharing were also discussed.

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• Limits of network nonlocality probed by time-like separated observers
• $(n,m,p)$-type quantum network configuration and its nonlocality
• Sharing nonlocality in a network using the quantum violation of chain network inequality