Entanglement measures and approximate quantum error correction

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dc.creatorBuscemi, Francesco
dc.date2007-06-13
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:05Z
dc.date.available2026-07-07T08:54:05Z
dc.descriptionIt is shown that, if the loss of entanglement along a quantum channel is sufficiently small, then approximate quantum error correction is possible, thereby generalizing what happens for coherent information. Explicit bounds are obtained for the entanglement of formation and the distillable entanglement, and their validity naturally extends to other bipartite entanglement measures in between. Robustness of derived criteria is analyzed and their tightness compared. Finally, as a byproduct, we prove a bound quantifying how large the gap between entanglement of formation and distillable entanglement can be for any given finite dimensional bipartite system, thus providing a sufficient condition for distillability in terms of entanglement of formation.
dc.description7 pages, two-columned revtex4, no figures. v1: Deeply revised and extended version: different entanglement measures are separately considered, references are added, and some remarks are stressed. v2: Added a sufficient condition for distillability in terms of entanglement of formation; published version
dc.identifierhttps://arxiv.org/abs/0706.1815
dc.identifierhttp://arxiv.org/abs/0706.1815
dc.identifierPhys. Rev. A 77, 012309 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.012309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145807
dc.subjectQuantum Physics
dc.titleEntanglement measures and approximate quantum error correction
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