One sided sequential sharing of tripartite nonlocality for pure and mixed three-qubit states

Tripartite nonlocality holds significant theoretical value and has numerous applications in quantum information and computation. With dichotomic measurement settings, several aspects of tripartite nonlocality are identified by violations of the Svetlichny inequality, Mermin inequality, the 46 facet inequalities of Sliwa, and the inequalities established by Bancal et al. Silva et al. explored the concept of nonlocality sharing among multiple copies of a party. This paper focuses on determining the number of observers who can simultaneously share distinct tripartite nonlocal correlations under a one-sided sequential measurement formalism. Specifically, we examine a scenario where three spatially separated parties-Alice, Bob, and multiple Charlies-share three spin- \(\frac{1}{2}\) $\frac{1}{2}$ particles. For multiple Charlies, we have identified constraints on \(\theta\) $\theta$ (pure state) and p (mixed state), demonstrating the sequential sharing of various forms of tripartite nonlocality with a single Alice and Bob. Notably, under sequential measurement formalism, a non-maximally pure entangled state exhibits the same sharing capacity as a maximally entangled state.