{
  "id": "1711.10823",
  "version": "v1",
  "published": "2017-11-29T12:45:46.000Z",
  "updated": "2017-11-29T12:45:46.000Z",
  "title": "Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators",
  "authors": [
    "Katarzyna Siudzińska",
    "Dariusz Chruściński"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce a class of linear maps irreducibly covariant with respect to the finite group generated by the Weyl operators. This group provides a direct generalization of the quaternion group. In particular, we analyze the irreducibly covariant quantum channels; that is, the completely positive and trace-preserving linear maps. Interestingly, imposing additional symmetries leads to the so-called generalized Pauli channels, which were recently considered in the context of the non-Markovian quantum evolution. Finally, we provide examples of irreducibly covariant positive but not necessarily completely positive maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-29T12:45:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum channels irreducibly covariant",
      "finite group",
      "weyl operators",
      "non-markovian quantum evolution",
      "irreducibly covariant quantum channels"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}