{
  "id": "quant-ph/0302180",
  "version": "v2",
  "published": "2003-02-25T11:32:08.000Z",
  "updated": "2003-12-16T15:32:36.000Z",
  "title": "Subspace preserving completely positive maps",
  "authors": [
    "Johan Åberg"
  ],
  "comment": "References added",
  "journal": "Annals of Physics Vol. 313, p. 326 (2004)",
  "doi": "10.1016/j.aop.2004.04.013",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A class of quantum channels and completely positive maps (CPMs) are introduced and investigated. These, which we call subspace preserving (SP) CPMs has, in the case of trace preserving CPMs, a simple interpretation as those which preserve probability weights on a given orthogonal sum decomposition of the Hilbert space of a quantum system. Several equivalent characterizations of SP CPMs are proved and an explicit construction of all SP CPMs, is provided. For a subclass of the SP channels a construction in terms of joint unitary evolution with an ancilla system, is presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-12-16T15:32:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive maps",
      "subspace preserving",
      "sp cpms",
      "preserve probability weights",
      "joint unitary evolution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}