{ "id": "1010.1920", "version": "v3", "published": "2010-10-10T13:21:48.000Z", "updated": "2012-01-30T06:27:25.000Z", "title": "Tight lower bound to the geometric measure of quantum discord", "authors": [ "Ali Saif M. Hassan", "Behzad Lari", "Pramod S. Joag" ], "comment": "10 pages,2 figures. In the previous versions, a constraint was ignored while optimizing the second term in Eq.(5), in which case, only a lower bound on the geometric discord can be obtained. The title is also consequently changed. Accepted in Phys.Rev.A", "journal": "Physical Review A 85, 024302 (2012)", "categories": [ "quant-ph" ], "abstract": "Dakic, Vedral and Brukner [Physical Review Letters \\tf{105},190502 (2010)] gave a geometric measure of quantum discord in a bipartite quantum state as the distance of the state from the closest classical quantum (or zero discord) state and derived an explicit formula for a two qubit state. Further, S.Luo and S.Fu [Physical Review A \\tf{82}, 034302 (2010)] obtained a generic form of this geometric measure for a general bipartite state and established a lower bound. In this brief report we obtain a rigorous lower bound to the geometric measure of quantum discord in a general bipartite state which dominates that obtained by S.Luo and S.Fu.", "revisions": [ { "version": "v3", "updated": "2012-01-30T06:27:25.000Z" } ], "analyses": { "subjects": [ "03.67.-a", "03.65.Ta" ], "keywords": [ "geometric measure", "quantum discord", "tight lower bound", "general bipartite state", "physical review" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "doi": "10.1103/PhysRevA.85.024302", "year": 2012, "month": "Feb", "volume": 85, "number": 2, "pages": "024302" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvA..85b4302H" } } }