Generic Bell inequalities for multipartite arbitrary dimensional systems

Abstract

We present generic Bell inequalities for multipartite multi-dimensional systems. The inequalities that any local realistic theories must obey are violated by quantum mechanics for even-dimensional multipartite systems. A large set of variants are shown to naturally emerge from the generic Bell inequalities. We discuss particular variants of Bell inequalities, that are violated for all the systems including odd-dimensional systems.

Accepted in Phys. Rev. Lett

References in corpus (10)

• Security of quantum key distribution using d-level systems
• Hidden Variables and the Two Theorems of John Bell
• Bell inequalities for arbitrarily high dimensional systems
• Violations of local realism by two entangled quNits are stronger than for two qubits
• Quantum non-locality in two three-level systems
• Bell Inequalities for Graph States
• Quantum communication complexity protocol with two entangled qutrits
• Greenberger-Horne-Zeilinger paradoxes for many qudits
• Bell's inequality for n spin-s particles
• D-outcome measurement for a nonlocality test

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