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Entanglement combing

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arxiv 0907.4757 v2 pith:WYOPBPUW submitted 2009-07-27 quant-ph

classification quant-ph
keywords entanglementotherbi-partitepairwisepartiespartyprotocolstates
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that all multi-partite pure states can, under local operations, be transformed into bi-partite pairwise entangled states in a "lossless fashion": An arbitrary distinguished party will keep pairwise entanglement with all other parties after the asymptotic protocol - decorrelating all other parties from each other - in a way that the degree of entanglement of this party with respect to the rest will remain entirely unchanged. The set of possible entanglement distributions of bi-partite pairs is also classified. Finally, we point out several applications of this protocol as a useful primitive in quantum information theory.

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