{ "id": "1006.1152", "version": "v1", "published": "2010-06-07T00:13:30.000Z", "updated": "2010-06-07T00:13:30.000Z", "title": "Evaluation of two different entanglement measures on a bound entangled state", "authors": [ "Cyril Branciard", "Huangjun Zhu", "Lin Chen", "Valerio Scarani" ], "comment": "6 pages, 1 figure", "journal": "Phys. Rev. A 82, 012327 (2010)", "doi": "10.1103/PhysRevA.82.012327", "categories": [ "quant-ph" ], "abstract": "We consider the mixed three-qubit bound entangled state defined as the normalized projector on the subspace that is complementary to an Unextendible Product Basis [C. H. Bennett et. al., Phys. Rev. Lett. 82, 5385 (1999)]. Using the fact that no product state lies in the support of that state, we compute its entanglement by providing a basis of its subspace formed by \"minimally-entangled\" states. The approach is in principle applicable to any entanglement measure; here we provide explicit values for both the geometric measure of entanglement and a generalized concurrence.", "revisions": [ { "version": "v1", "updated": "2010-06-07T00:13:30.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud" ], "keywords": [ "entanglement measure", "evaluation", "mixed three-qubit bound entangled state", "product state lies", "unextendible product basis" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2010, "month": "Jul", "volume": 82, "number": 1, "pages": "012327" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvA..82a2327B" } } }