# Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?

@article{Horodecki1998MixedStateEA, title={Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?}, author={Michal Horodecki and Paweł Horodecki and Ryszard Horodecki}, journal={Physical Review Letters}, year={1998}, volume={80}, pages={5239-5242} }

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. A possible physical meaning of the result is discussed.

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- PhysicsPhysical review letters
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It is proved that for all the states violating a Bell inequality there exists 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 entanglements.

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We construct bound entangled states that are entangled but from which no entanglement can be distilled if all parties are allowed only by performing local operations and classical communications.…

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We discuss a specific entanglement distillation scheme [D. Deutsch et al., Phys. Rev. Lett. 77, 2818 (1996)] under the constraint of finite samples of entangled qubit pairs. It is shown that an…

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We consider entanglement distillation from a single copy of multipartite quantum states, and instead of rates we analyze the “quality” of the distilled entanglement. This quality is quantified by the…

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Two general entanglement distillation protocols which can concentrate the state and obtain the maximally entangled bipartite state from the 'garbage' state, which gives no contribution to the distillation of the state.

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This paper proposes two general entanglement distillation protocols which can concentrate the state and includes two meanings, namely, extracting the concentrated tripartite entangled W state and obtaining the maximally entangled bipartite state from the ‘garbage’ state.

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