Generalized nonlocality criteria under the correlation symmetry

Abstract

The class of correlation for the most generalized Bell scenario considering N-partite d-chotomic system with k number of measurements is derived under the constraint of measurement symmetries. The nonlocality criteria for the generalized scenario is obtained using the correlation function, which is derived from Fourier analysis of probability spectrum. The condition under which the local hidden variable model is violated by the multipartite quantum state is found in analytic manner. It is shown that the various types of known Bell inequalities can be derived in our class of correlation.