Non-locality and entanglement in multi-qubit systems from a unified framework

Non-classical probability is the underlying feature of quantum mechanics. The emergence of Bell-CHSH non-locality for bipartite systems and linear entanglement inequalities for two-qubit systems has been shown in [1], purely as violations of classical probability rules. In this paper, as a direct continuation of [1], we extend the results to non-locality in multi-party systems and entanglement in multi-qubit systems. We show how any number of entanglement witnesses can be obtained, including the ones that have been derived earlier by employing diverse methods.