Do all pure entangled states violate Bell's inequalities for correlation functions?

Abstract

Any pure entangled state of two particles violates a Bell inequality for two-particle correlation functions (Gisin's theorem). We show that there exist pure entangled N>2 qubit states that do not violate any Bell inequality for N particle correlation functions for experiments involving two dichotomic observables per local measuring station. We also find that Mermin-Ardehali-Belinskii-Klyshko inequalities may not always be optimal for refutation of local realistic description.

4 pages, journal version

References in corpus (5)

• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Bell's theorem for general N-qubit states
• Quantum Communication between N partners and Bell's inequalities
• Spectral decomposition of Bell's operators for qubits
• Multipartite bound entangled states that violate Bell's inequality

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