The role of complementarity in nonlocality

Abstract

We investigate and understand nonlocality in terms of complementarity as well as entanglement. Complementarity of local observables and maximal entanglement of quantum state are sufficient conditions for which CHSH inequalities are maximally violated in two-dimensional bipartite systems. High-dimensional systems (qudits) have also been shown to violate the Bell`s inequalities that have recently been proposed. Contrary to CHSH inequality, such inequalities for qudits do not satisfy the condition of local observables being mutually unbiased when they are maximally violated. In this work, we propose a Bell inequality satisfying the criteria of complementarity and entanglement for three-dimensional bipartite system.