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Generalized nonlocality criteria under the correlation symmetry

2015/09/30 by Kwangil Bae, Wonmin Son, M. S. Kim
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Class (philosophy) #Computer science #Constraint (computer-aided design) #Correlation #Geometry #Hidden variable theory #Homogeneous space #Locality #Mathematics #Multipartite #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Quantum optics and atomic interactions #Quantum state #State (computer science) #Statistical physics #Symmetry (geometry) #quant-ph

paper · pdf · doi:10.1103/physreva.98.022116

published as Phys. Rev. A 98, 022116 (2018) · 5 pages; It is updated with the published version

openalex publication_date 2018/08/13 · arxiv created 2018/10/22 · arxiv updated 2018/10/23 · openalex created_date 2018/10/26 · openalex updated_date 2026/08/05

Abstract

The most general class of nonlocality 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 characterization of the multipartite nonlocality when the correlation is assumed to be symmetric under the choice of measurement settings. The generalized nonlocality 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 model is violated by multipartite quantum states and general constraints for the quantum violation of the maximally entangled state has been obtained.

Citations