{ "id": "0709.1982", "version": "v1", "published": "2007-09-13T03:30:44.000Z", "updated": "2007-09-13T03:30:44.000Z", "title": "Entanglement detection via condition of quantum correlation", "authors": [ "Che-Ming Li", "Li-Yi Hsu", "Yueh-Nan Chen", "Der-San Chuu", "Tobias Brandes" ], "journal": "PHYSICAL REVIEW A 76, 032313 2007", "doi": "10.1103/PhysRevA.76.032313", "categories": [ "quant-ph" ], "abstract": "We develop a novel necessary condition of quantum correlation. It is utilized to construct $d$-level bipartite Bell-type inequality which is strongly resistant to noise and requires only analyses of $O(d)$ measurement outcomes compared to the previous result $O(d^{2})$. Remarkably, a connection between the arbitrary high-dimensional bipartite Bell-type inequality and entanglement witnesses is found. Through the necessary condition of quantum correlation, we propose that the witness operators to detect truly multipartite entanglement for a generalized Greenberger-Horne-Zeilinger (GHZ) state with two local measurement settings and a four-qubit singlet state with three settings. Moreover, we also propose the first robust entanglement witness to detect four-level tripartite GHZ state with only two local measurement settings.", "revisions": [ { "version": "v1", "updated": "2007-09-13T03:30:44.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud" ], "keywords": [ "quantum correlation", "entanglement detection", "local measurement settings", "arbitrary high-dimensional bipartite bell-type inequality", "detect four-level tripartite ghz state" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2007, "month": "Sep", "volume": 76, "number": 3, "pages": "032313" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvA..76c2313L" } } }