Bell's theorem for general N-qubit states

Abstract

We derive a single general Bell inequality which is a necessary and sufficient condition for the correlation function for N particles to be describable in a local and realistic picture, for the case in which measurements on each particle can be chosen between two arbitrary dichotomic observables. We also derive a necessary and sufficient condition for an arbitrary N-qubit mixed state to violate this inequality. This condition is a generalization and reformulation of the Horodeccy family condition for two qubits.

4 pages, journal version

References in corpus (7)

• Bell inequalities for arbitrarily high dimensional systems
• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Quantum Communication between N partners and Bell's inequalities
• Four Photon Entanglement from Down Conversion
• New optimal tests of quantum nonlocality
• Spectral decomposition of Bell's operators for qubits
• Do all pure entangled states violate Bell's inequalities for correlation functions?

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