{ "id": "1107.4863", "version": "v2", "published": "2011-07-25T08:13:53.000Z", "updated": "2011-11-24T10:06:13.000Z", "title": "Multiparticle entanglement in graph-diagonal states: Necessary and sufficient conditions for four qubits", "authors": [ "Otfried Gühne", "Bastian Jungnitsch", "Tobias Moroder", "Yaakov S. Weinstein" ], "comment": "11 pages, 2 figures, v2: small changes", "journal": "Phys. Rev. A 84, 052319 (2011)", "doi": "10.1103/PhysRevA.84.052319", "categories": [ "quant-ph" ], "abstract": "The characterization of genuine multiparticle entanglement is important for entanglement theory as well as experimental studies related to quantum information theory. Here, we completely characterize genuine multiparticle entanglement for four-qubit states diagonal in the cluster-state basis. In addition, we give a complete characterization of multiparticle entanglement for all five-qubit graph states mixed with white noise, for states diagonal in the basis corresponding to the five-qubit Y-shaped graph, and for a family of graph states with an arbitrary number of qubits.", "revisions": [ { "version": "v2", "updated": "2011-11-24T10:06:13.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud" ], "keywords": [ "graph-diagonal states", "sufficient conditions", "quantum information theory", "five-qubit graph states", "characterize genuine multiparticle entanglement" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2011, "month": "Nov", "volume": 84, "number": 5, "pages": "052319" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvA..84e2319G" } } }