{ "id": "1512.04693", "version": "v1", "published": "2015-12-15T09:45:25.000Z", "updated": "2015-12-15T09:45:25.000Z", "title": "Construction of three qubit genuine entanglement with bi-partite positive partial transposes", "authors": [ "Kil-Chan Ha", "Seung-Hyeok Kye" ], "comment": "6 pages", "categories": [ "quant-ph" ], "abstract": "We construct tri-qubit genuinely entangled states which have positive partial transposes with respect to bi-partition of systems. These examples disprove a conjecture [L. Novo, T. Moroder and O. G\\\" uhne, Phys.Rev.A {88}, 012305 (2013)] which claims that PPT mixtures are necessary and sufficient for biseparability of three qubits.", "revisions": [ { "version": "v1", "updated": "2015-12-15T09:45:25.000Z" } ], "analyses": { "subjects": [ "81P15", "15A30", "46L05" ], "keywords": [ "bi-partite positive partial transposes", "qubit genuine entanglement", "construction", "construct tri-qubit genuinely entangled states", "examples disprove" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }