{ "id": "0704.3348", "version": "v1", "published": "2007-04-25T12:15:11.000Z", "updated": "2007-04-25T12:15:11.000Z", "title": "Extreme points of the set of density matrices with positive partial transpose", "authors": [ "Jon Magne Leinaas", "Jan Myrheim", "Eirik Ovrum" ], "comment": "4 pages, 2 figures", "journal": "Phys. Rev. A 76, 034304 (2007)", "doi": "10.1103/PhysRevA.76.034304", "categories": [ "quant-ph" ], "abstract": "We present a necessary and sufficient condition for a finite dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem. We also give an algorithm for finding such extreme points and illustrate this by some examples.", "revisions": [ { "version": "v1", "updated": "2007-04-25T12:15:11.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "02.40.Ft", "03.65.Ud" ], "keywords": [ "positive partial transpose", "extreme point", "density matrices", "finite dimensional density matrix", "sufficient condition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2007, "month": "Sep", "volume": 76, "number": 3, "pages": "034304" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvA..76c4304L" } } }