{ "id": "1108.5636", "version": "v2", "published": "2011-08-29T16:31:48.000Z", "updated": "2012-02-02T06:38:31.000Z", "title": "Classification of the Entangled states L\\times N\\times N", "authors": [ "Jun-Li Li", "Shi-Yuan Li", "Cong-Feng Qiao" ], "comment": "21 pages; published in Phys. Rev. A", "journal": "Phys.Rev.A85:012301,2012", "doi": "10.1103/PhysRevA.85.012301", "categories": [ "quant-ph" ], "abstract": "We presented a general classification scheme for the tripartite $L\\times N\\times N$ entangled system under stochastic local operation and classical communication. The whole classification procedure consists of two correlated parts: the simultaneous similarity transformation of a commuting matrix pair into a canonical form and the study of internal symmetry of parameters in the canonical form. Based on this scheme, a concrete example of entanglement classification for a $3\\times N\\times N$ system is given.", "revisions": [ { "version": "v2", "updated": "2012-02-02T06:38:31.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud", "02.10.Xm" ], "keywords": [ "entangled states", "general classification scheme", "canonical form", "stochastic local operation", "classification procedure consists" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2012, "month": "Jan", "volume": 85, "number": 1, "pages": "012301" }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvA..85a2301L" } } }