{ "id": "0902.3230", "version": "v3", "published": "2009-02-18T20:20:44.000Z", "updated": "2009-09-02T12:55:38.000Z", "title": "Operational Families of Entanglement Classes for Symmetric $N$-Qubit States", "authors": [ "T. Bastin", "S. Krins", "P. Mathonet", "M. Godefroid", "L. Lamata", "E. Solano" ], "comment": "Published version. Phys. Rev. Lett. 103, 070503 (2009)", "categories": [ "quant-ph" ], "abstract": "We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for all multipartite symmetric states in the general $N$-qubit case. For this purpose, we introduce 2 parameters playing a crucial role, namely the \\emph{diversity degree} and the \\emph{degeneracy configuration} of a symmetric state. Those parameters give rise to a simple method of identifying operational families of SLOCC entanglement classes of all symmetric $N$-qubit states, where the number of families grows as the partition function of the number of qubits.", "revisions": [ { "version": "v3", "updated": "2009-09-02T12:55:38.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud" ], "keywords": [ "qubit states", "multipartite symmetric states", "slocc entanglement classes", "stochastic local operations", "entanglement classification" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevLett.103.070503", "journal": "Physical Review Letters", "year": 2009, "month": "Aug", "volume": 103, "number": 7, "pages": "070503" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvL.103g0503B" } } }