The most general class of non-locality criteria for N -partite d-chotomic systems with k number of measurement settings is derived under the constraint of measurement symmetries. It is the complete characterisation of the multi-partite non-locality when the correlation is assumed to be symmetric under the choice of measurement settings. The generalized non-locality condition is obtained using the correlation functions, which are derived from Fourier analysis of probability spectrums. It is found that the condition for the local hidden variable (LHV) model is violated by multipartite quantum states and general constraints for the quantum violation of maximally entangled state has been obtained.
We propose an enhanced discrimination measurement for tripartite 3-dimensional entangled states in order to improve the discernible number of orthogonal entangled states. The scheme suggests 3-dimensional Bell state measurement by exploiting composite two 3-dimensional state measurement setups. The setup relies on state-of-the-art techniques, a multi-port interferometer and nondestructive photon number measurements that are used for the post-selection of suitable ensembles. With this scheme, the sifted signal rate of measurement-device-independent quantum key distribution using 3-dimensional quantum states is improved by up to a factor of three compared with that of the best existing setup.
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.
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