Distillability, Bell Inequalities, and Multiparticle Bound Entanglement

2001 Physical Review Letters 56 citations

Abstract

We study the relation between violation of Bell inequalities and\ndistillability properties of quantum states. Recently, D\\"ur has shown that\nthere are some multiparticle bound entangled states, non-separable and\nnon-distillable, that violate a Bell inequality. We prove that for all the\nstates violating this inequality there exist at least one splitting of the\nparties into two groups such that some pure-state entanglement can be\ndistilled, obtaining a connection between Bell inequalities and bipartite\ndistillable entanglement.\n

Keywords

Quantum entanglementBell stateBell's theoremPhysicsLocal hidden variable theoryBipartite graphBell test experimentsMultipartite entanglementQuantum mechanicsQuantum teleportationQuantum discordCHSH inequalityState (computer science)Upper and lower boundsInequalitySquashed entanglementQuantumTheoretical physicsCombinatoricsQuantum channelMathematicsMathematical analysisAlgorithm

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Year
2001
Type
article
Volume
88
Issue
2
Citations
56
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Closed

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Antonio Acín (2001). Distillability, Bell Inequalities, and Multiparticle Bound Entanglement. Physical Review Letters , 88 (2) . https://doi.org/10.1103/physrevlett.88.027901

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DOI
10.1103/physrevlett.88.027901