Interplay of nonlocality and incompatibility breaking qubit channels

Incompatibility and nonlocality are not only of foundational interest but also act as important resources for quantum information theory. In the Clauser-Horne-Shimony-Holt (CHSH) scenario, incompatibility a pair observables is known to be equivalent Bell nonlocality. Here, we investigate these notions in context qubit channels. The Bell-CHSH inequality has greater perspective--compared any genuine tripartite scenario--while determining interplay between breaking channels prove that if conjugate channel breaking, then itself vice versa. However, this equivalence straightforwardly generalized multipartite systems, due absence an relation scenario. We scenario by considering some well-known states like Greenberger-Horne-Zeilinger $W$ using notion Mermin Svetlichny By subjecting parties question unital channels, identify range state parameters which coexists with Further, set or irrespective input state.