Measurable criteria of generalized non-locality under the correlation symmetry

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.

5 pages; It is updated with the published version

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• Quantum advantage in temporally flat measurement-based quantum computation
• Noise-adaptive test of quantum correlations with quasiprobability functions
• Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
• How Likely Are You to Observe Non-locality with Imperfect Detection Efficiency and Random Measurement Settings?