{ "id": "quant-ph/9908065", "version": "v2", "published": "1999-08-19T20:05:08.000Z", "updated": "2000-03-01T10:12:49.000Z", "title": "Limits for entanglement measures", "authors": [ "Michal Horodecki", "Pawel Horodecki", "Ryszard Horodecki" ], "comment": "4 pages, Revtex, typos corrected", "journal": "Phys. Rev. Lett. 84 (2000) 2014", "doi": "10.1103/PhysRevLett.84.2014", "categories": [ "quant-ph" ], "abstract": "We show that {\\it any} entanglement measure $E$ suitable for the regime of high number of entangled pairs satisfies $E_D\\leq E\\leq E_F$ where $E_D$ and $E_F$ are entanglement of distillation and formation respectively. We also exhibit a general theorem on bounds for distillable entanglement. The results are obtained by use of a very transparent reasoning based on the fundamental principle of entanglement theory saying that entanglement cannot increase under local operations and classical communication.", "revisions": [ { "version": "v2", "updated": "2000-03-01T10:12:49.000Z" } ], "analyses": { "keywords": [ "entanglement measure", "entangled pairs satisfies", "local operations", "general theorem", "high number" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }