{ "id": "0704.1375", "version": "v1", "published": "2007-04-11T09:18:51.000Z", "updated": "2007-04-11T09:18:51.000Z", "title": "Decrease of entanglement by local operations in the Dür-Cirac method", "authors": [ "Yukihiro Ota", "Motoyuki Yoshida", "Ichiro Ohba" ], "comment": "5 pages", "categories": [ "quant-ph" ], "abstract": "One cannot always obtain information about entanglement by the D\\\"ur-Cirac (DC) method. The impracticality is attributed to the decrease of entanglement by local operations in the DC method. We show that, even in 2--qubit systems, there exist states whose entangled property the DC method never evaluates. The class of such states in 2--qubit systems is completely characterized by the value of the fully entangled fraction. Actually, a state whose fully entangled fraction is less than or equal to 1/2 is always transformed into a separable state by local operations in the DC method, even if it has negative partial transposition.", "revisions": [ { "version": "v1", "updated": "2007-04-11T09:18:51.000Z" } ], "analyses": { "keywords": [ "local operations", "dür-cirac method", "dc method", "entanglement", "fully entangled fraction" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.1375O" } } }