Distillability, Bell inequalities and multiparticle bound entanglement

Abstract

We study the relation between violation of Bell inequalities and distillability properties of quantum states. Recently, Dür has shown that there are some multiparticle bound entangled states, non-separable and non-distillable, that violate a Bell inequality. We prove that for all the states violating this inequality there exist at least one splitting of the parties into two groups such that some pure-state entanglement can be distilled, obtaining a connection between Bell inequalities and bipartite distillable entanglement.

3 pages, REVTEX

References in corpus (3)

• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Spectral decomposition of Bell's operators for qubits
• Multipartite bound entangled states that violate Bell's inequality

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• Entanglement criteria and nonlocality for multi-mode continuous variable systems
• Functional Bell inequalities can serve as a stronger entanglement witness
• Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
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• Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities
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• Multipartite positive-partial-transpose inequalities exponentially stronger than local reality inequalities
• Absence of Entanglement Growth in Dicke Superradiance
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• The CHSH-type inequalities for infinite-dimensional quantum systems
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