{
  "id": "0910.0994",
  "version": "v3",
  "published": "2009-10-06T16:35:13.000Z",
  "updated": "2009-11-19T08:21:41.000Z",
  "title": "Distinguishability Measures and Entropies for General Probabilistic Theories",
  "authors": [
    "Gen Kimura",
    "Koji Nuida",
    "Hideki Imai"
  ],
  "comment": "17 pages, 1 figure, Related but independent works (arXiv:0909.4801 and arXiv:0909.5075) have appeared recently while we were completing this paper. In v2, we added the reference (arXiv:0909.4801); In v3, \"mimimum\" is changed to \"infimum\" in the definition of fidelity so that it is more rigorous",
  "journal": "Rep. Math. Phys. 66, 175 (2010)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate the several distinguishability measures and \"entropies\" in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in any general probabilistic theories, not resorting to quantum theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-19T08:21:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general probabilistic theories",
      "distinguishability measures",
      "quantum theory",
      "information theory",
      "information-disturbance theorems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/S0034-4877(10)00025-X",
      "journal": "Reports on Mathematical Physics",
      "year": 2010,
      "month": "Oct",
      "volume": 66,
      "number": 2,
      "pages": 175
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010RpMP...66..175K"
    }
  }
}