Entangled three-state systems violate local realism more strongly than qubits: An analytical proof

Abstract

An analysis for the violation of local realism for two maximally entangled N-dimensional quantum objects was presented. The analysis was performed using two unbiased three input and three output beam splitters. It was proved that the violation of local realism for two maximally entangled N-dimensional quantum object was stronger than for two maximally entangled qubits. The explicit expression for the minimal noise admixture was also proved analytically.