{
  "id": "quant-ph/0402129",
  "version": "v1",
  "published": "2004-02-18T19:04:06.000Z",
  "updated": "2004-02-18T19:04:06.000Z",
  "title": "The classical capacity achievable by a quantum channel assisted by limited entanglement",
  "authors": [
    "Peter W. Shor"
  ],
  "comment": "9 pages, to appear in the Festschrift celebrating Alexander S. Holevo's 60'th birthday",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We give the trade-off curve showing the capacity of a quantum channel as a function of the amount of entanglement used by the sender and receiver for transmitting information. The endpoints of this curve are given by the Holevo-Schumacher-Westmoreland capacity formula and the entanglement-assisted capacity, which is the maximum over all input density matrices of the quantum mutual information. The proof we give is based on the Holevo-Schumacher-Westmoreland formula, and also gives a new and simpler proof for the entanglement-assisted capacity formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-18T19:04:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum channel",
      "classical capacity achievable",
      "limited entanglement",
      "input density matrices",
      "holevo-schumacher-westmoreland capacity formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004quant.ph..2129S"
    }
  }
}