{ "id": "quant-ph/0606168", "version": "v1", "published": "2006-06-20T21:16:53.000Z", "updated": "2006-06-20T21:16:53.000Z", "title": "Duality for monogamy of entanglement", "authors": [ "Somshubhro Bandyopadhyay", "Gilad Gour", "Barry C. Sanders" ], "comment": "12 pages", "journal": "Journal of Mathematical Physics 48: 012108 (13 pp.), 31 January 2007,", "doi": "10.1063/1.2435088", "categories": [ "quant-ph" ], "abstract": "We establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a \\emph{lower} bound for distribution of bipartite entanglement in a multipartite system. Our theorem for monogamy of entanglement is used to establish relations between bipartite entanglement that separate one qubit from the rest vs separating two qubits from the rest.", "revisions": [ { "version": "v1", "updated": "2006-06-20T21:16:53.000Z" } ], "analyses": { "keywords": [ "bipartite entanglement", "multipartite system", "upper bound", "bipartite sharability", "entanglement inequalities" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "J. Math. Phys." }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }