Tight Multipartite Bell's Inequalities Involving Many Measurement Settings

2004/11/08 by Wieslaw Laskowski, Wiesław Laskowski, Tomasz Paterek +4 · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #Computability, Logic, AI Algorithms #Computer science #Inequality #Local hidden variable theory #Mathematical analysis #Mathematical and Theoretical Analysis #Mathematics #Multipartite #Physics #Quantum #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.200401

published as Phys. Rev. Lett. 93, 200401 (2004) · published version generalizing results of quant-ph/0303187 and quant-ph/0311182

openalex publication_date 2004/11/08 · arxiv created 2004/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive tight Bell's inequalities for N>2 observers involving more than two alternative measurement settings. We give a necessary and sufficient condition for a general quantum state to violate the new inequalities. The inequalities are violated by some classes of states, for which all standard Bell's inequalities with two measurement settings per observer are satisfied.

Citations

• Do all pure entangled states violate Bell's inequalities for correlation functions?
• Bell’s Theorem for GeneralN-Qubit States
• Violation of local realism versus detection efficiency
• All-multipartite Bell-correlation inequalities for two dichotomic observables per site
• Bell inequalities resistant to detector inefficiency

Cited by

• Generalized nonlocality criteria under the correlation symmetry
• Entanglement and communication-reducing properties of noisyN-qubit states
• Multisetting Greenberger-Horne-Zeilinger theorem
• Correlation Complementarity Yields Bell Monogamy Relations
• Classification and monogamy of three-qubit biseparable Bell correlations