{ "id": "1601.00719", "version": "v1", "published": "2016-01-05T02:52:07.000Z", "updated": "2016-01-05T02:52:07.000Z", "title": "On characterizations of bistochastic Kadison-Schwarz operators on $M_2(\\mathbb{C})$", "authors": [ "Farrukh Mukhamedov", "Hasan Akin" ], "comment": "16 pages, 2 figures. arXiv admin note: text overlap with arXiv:1005.5532", "categories": [ "math.FA", "math-ph", "math.MP", "quant-ph" ], "abstract": "In this paper we describe bistochastic Kadison-Schawrz operators acting on $M_2(\\mathbb{C})$. Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.", "revisions": [ { "version": "v1", "updated": "2016-01-05T02:52:07.000Z" } ], "analyses": { "subjects": [ "47L07", "46L30", "47C15", "15A48", "81P68", "60J99" ], "keywords": [ "bistochastic kadison-schwarz operators", "characterization", "construct kadison-schawrz operators", "bistochastic kadison-schawrz operators acting" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160100719M" } } }