{
  "id": "quant-ph/0202124",
  "version": "v2",
  "published": "2002-02-21T17:37:09.000Z",
  "updated": "2003-01-22T15:26:36.000Z",
  "title": "On quantum channels",
  "authors": [
    "Frank Verstraete",
    "Henri Verschelde"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "One of the most challenging open problems in quantum information theory is to clarify and quantify how entanglement behaves when part of an entangled state is sent through a quantum channel. Of central importance in the description of a quantum channel or completely positive map (CP-map) is the dual state associated to it. The present paper is a collection of well-known, less known and new results on quantum channels, presented in a unified way. We will show how this dual state induces nice characterizations of the extremal maps of the convex set of CP-maps, and how normal forms for states defined on a Hilbert space with a tensor product structure lead to interesting parameterizations of quantum channels.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-22T15:26:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum channel",
      "dual state induces nice characterizations",
      "quantum information theory",
      "tensor product structure",
      "challenging open problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002quant.ph..2124V"
    }
  }
}