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Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?

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arxiv quant-ph/9801069 v1 pith:NCRP5PIB submitted 1998-01-29 quant-ph

Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?

classification quant-ph
keywords entanglementboundformsinglettherebroughtcannotcommunication
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two qualitatively different types of entanglement: ``free'' entanglement which is distillable, and ``bound'' entanglement which cannot be brought to the singlet form useful for quantum communication purposes. Possible physical meaning of the result is discussed.

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