Limits of network nonlocality probed by timelike-separated observers

In an entanglement swapping scenario, if two sources distributing entangled states between three parties are independent, local correlations lead to a different kind of inequality than the standard Bell inequalities, known as network models. A highly demanding task is find out way involve many players nontrivially in quantum since measurements, general, disturb system. To this end, we consider here alternative sharing nonlocality when observers initially share maximally entangled, nonmaximally and noisy state. We report that by employing unsharp measurements performed one observers, at most six pairs can sequentially demonstrate violation bilocal while maximum exhibit bi-nonlocality both perform measurements. also critical noise involved each round illustrate for fixed shared state resource. connect content state, quantified via von-Neumann entropy pure formation Werner with number rounds showing inequality. By considering elegant joint measurement node such elements third party gets reduced, observe reduces sequential even settings side taken be fixed.