Measurable criteria of generalized non-locality under the correlation symmetry

TL;DR

This paper derives comprehensive criteria for detecting non-locality in symmetric multi-partite quantum systems, providing a complete characterization and identifying quantum violations of local hidden variable models.

Contribution

It introduces the first complete set of non-locality criteria for symmetric N-partite d-chotomic systems with multiple measurement settings, based on correlation functions and Fourier analysis.

Findings

Quantum states violate the derived non-locality criteria.

Constraints for quantum violations of maximally entangled states are established.

The criteria are applicable under measurement symmetry assumptions.

Abstract

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.