{ "id": "math-ph/0406010", "version": "v2", "published": "2004-06-04T16:13:24.000Z", "updated": "2004-06-16T11:22:07.000Z", "title": "A simple proof of the Jamiolkowski criterion for complete positivity of linear maps", "authors": [ "D. Salgado", "J. L. Sanchez-Gomez", "M. Ferrero" ], "comment": "12 pages (double space), no figures. Some points further clarified", "categories": [ "math-ph", "math.MP", "quant-ph" ], "abstract": "We give a simple direct proof of the Jamiolkowski criterion to check whether a linear map between matrix algebras is completely positive or not. This proof is more accesible for physicists than others found in the literature and provides a systematic method to give any set of Kraus matrices of its Kraus decomposition.", "revisions": [ { "version": "v2", "updated": "2004-06-16T11:22:07.000Z" } ], "analyses": { "keywords": [ "linear map", "jamiolkowski criterion", "complete positivity", "simple proof", "simple direct proof" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.ph...6010S" } } }