{
  "id": "1701.06963",
  "version": "v1",
  "published": "2017-01-24T16:27:57.000Z",
  "updated": "2017-01-24T16:27:57.000Z",
  "title": "Codes for Simultaneous Transmission of Quantum and Classical Information",
  "authors": [
    "Markus Grassl",
    "Sirui Lu",
    "Bei Zeng"
  ],
  "comment": "5 pages",
  "categories": [
    "quant-ph",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "We consider the characterization as well as the construction of quantum codes that allow to transmit both quantum and classical information, which we refer to as `hybrid codes'. We construct hybrid codes $[[n,k:m,d]]_q$ with length $n$ and distance $d$, that simultaneously transmit $k$ qudits and $m$ symbols from a classical alphabet of size $q$. Many good codes such as $[[7,1:1,3]]_2$, $[[9,2:2,3]]_2$, $[[10,3:2,3]]_2$, $[[11,1:2,4]]_2$ are found, with better parameters than hybrid codes obtained from the best known stabilizer quantum code. We also find a nonadditive $((11,2:20,3))_2$ code, with parameters beating the best known nonadditive quantum codes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-24T16:27:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical information",
      "simultaneous transmission",
      "stabilizer quantum code",
      "construct hybrid codes",
      "nonadditive quantum codes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}