Network nonlocality sharing via weak measurements in the extended bilocal scenario

TL;DR

This paper explores how network nonlocality can be shared using weak measurements in quantum networks, revealing multiple violations of inequalities and highlighting differences from Bell nonlocality, with analysis of noise resistance.

Contribution

It introduces the concept of network nonlocal sharing via weak measurements in the extended bilocal scenario, showing multiple inequality violations and analyzing noise robustness.

Findings

Network nonlocal sharing can be demonstrated through multiple violations of BRGP inequalities.

A distinction between network nonlocality and Bell nonlocality is suggested.

Noise resistance of network nonlocal sharing is analyzed.

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.