# 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.

## 106 Citations

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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.

Selected Papers

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Entanglement, a weird quantum correlation between separate physical systems, is an indispensable resource for quantum information processing. As with other physical resources, the key to…

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- Physics, Computer Science
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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.…

Accessibility between Entangled States

- Physics
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Entanglement, a weird quantum correlation between separate physical systems, is an indispensable resource for quantum information processing. As with other physical resources, the key to…

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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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- PhysicsPhysical review letters
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This work considers a one-parameter family of four-qubit Smolin states and experimentally produces these states in the polarization of four optical photons produced from parametric down-conversion, showing that they are entangled and undistillable, and thus bound entangled.

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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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We construct a class of entangled states in ℋ = ℋA ⊗ ℋB ⊗ ℋC quantum systems with dimℋA = dimℋB = dimℋC = 2 and classify those states with respect to their distillability properties. The states are…