Abstract
Network nonlocality exhibits completely novel quantum correlations compared to standard quantum nonlocality. It has been shown that network nonlocality can be shared in a generalized bilocal scenario via weak measurements [Phys. Rev. A. 105, 042436 (2022)]. In this paper, we investigate network nonlocality sharing via weak measurements in a generalized star-shaped network configuration with arbitrary numbers of unbiased dichotomic input k, which includes n branches and adds (m-1) more parties in each branch to the original star network (n, m=1, k=2) scenario. It is shown that network nonlocality sharing among all observers can be revealed from simultaneous violation of 2ⁿ inequalities in the (n, m=2, k=2) and (n, m=2, k=3) scenarios for any n branches. The noise resistance of network nonlocality sharing with a precise noise model is also analyzed.