{ "id": "quant-ph/0507041", "version": "v2", "published": "2005-07-04T22:03:14.000Z", "updated": "2005-10-12T13:17:38.000Z", "title": "Classification of Tripartite Entanglement with one Qubit", "authors": [ "Marcio F. Cornelio", "A. F. R. de Toledo Piza" ], "comment": "Revised version with a new title, a simplification in section III and added references", "doi": "10.1103/PhysRevA.73.032314", "categories": [ "quant-ph" ], "abstract": "We present a method to find the decompositions of tripartite entangled pure states which are smaller than two successive Schmidt decompositions. The method becomes very simple when one of the subsystems is a qubit. In this particular case, we get a classification of states according to their decompositions. Furthermore, we also use this method to classify the entangled states that can be inter-converted through stochastic local operations and classical communication (SLOCC). More general tripartite systems are briefly discussed.", "revisions": [ { "version": "v2", "updated": "2005-10-12T13:17:38.000Z" } ], "analyses": { "keywords": [ "tripartite entanglement", "classification", "tripartite entangled pure states", "general tripartite systems", "stochastic local operations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }