{ "id": "quant-ph/0007086", "version": "v1", "published": "2000-07-24T14:14:04.000Z", "updated": "2000-07-24T14:14:04.000Z", "title": "Entangled webs: Tight bound for symmetric sharing of entanglement", "authors": [ "Masato Koashi", "Vladimir Buzek", "Nobuyuki Imoto" ], "comment": "4 pages, 1 figure", "doi": "10.1103/PhysRevA.62.050302", "categories": [ "quant-ph" ], "abstract": "Quantum entanglement cannot be unlimitedly shared among arbitrary number of qubits. Larger the number of entangled pairs in an N-qubit system, smaller the degree of bi-partite entanglement is. We analyze a system of N qubits in which an arbitrary pair of particles is entangled. We show that the maximum degree of entanglement (measured in the concurrence) between any pair of qubits is 2/N. This tight bound can be achieved when the qubits are prepared in a pure symmetric (with respect to permutations) state with just one qubit in the basis state |0> and the others in the basis state |1>.", "revisions": [ { "version": "v1", "updated": "2000-07-24T14:14:04.000Z" } ], "analyses": { "subjects": [ "03.67.-a", "03.65.Bz", "89.70.+c" ], "keywords": [ "tight bound", "entangled webs", "symmetric sharing", "basis state", "arbitrary pair" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2000, "month": "Nov", "volume": 62, "number": 5, "pages": "050302" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000PhRvA..62e0302K" } } }