{ "id": "0807.2360", "version": "v3", "published": "2008-07-15T18:17:55.000Z", "updated": "2009-02-16T23:08:01.000Z", "title": "Separable Operations on Pure States", "authors": [ "Vlad Gheorghiu", "Robert B. Griffiths" ], "comment": "Typo corrected in the abstract", "journal": "Phys. Rev. A 78, 020304 (R) (2008)", "doi": "10.1103/PhysRevA.78.020304", "categories": [ "quant-ph" ], "abstract": "We show that the possible ensembles produced when a separable operation acts on a single pure bipartite entangled state are completely characterized by a majorization condition, a collection of inequalities for Schmidt coefficients, which is identical to that already known for the particular case of local operations and classical communication (LOCC). As a consequence, various known results for LOCC, including some involving monotonicity of entanglement, can be extended to the class of all separable operations.", "revisions": [ { "version": "v3", "updated": "2009-02-16T23:08:01.000Z" } ], "analyses": { "subjects": [ "03.67.Mn" ], "keywords": [ "pure states", "single pure bipartite entangled state", "separable operation acts", "majorization condition", "schmidt coefficients" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2008, "month": "Aug", "volume": 78, "number": 2, "pages": "020304" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvA..78b0304G" } } }