Unbounded recycling of nonlocality in multipartite systems with projective measurements

While the recycling of unbounded sequential nonlocality via projective measurements has been demonstrated in bipartite systems, its feasibility in multipartite systems remains unclear due to the increased complexity of multipartite correlations. In this paper, we investigate the recycling of nonlocality in multipartite systems using projective measurements, by examining violations of the inequality tailored for GHZ states. For any number K of sequential observers, we present analytical relations for the state and measurement parameters, and provide the corresponding parameter ranges that enable sequential nonlocality to be detected. In particular, unbounded sequential nonlocality can be achieved for states that are nearly maximally entangled N-qubit GHZ states.