{
  "id": "0808.3844",
  "version": "v2",
  "published": "2008-08-28T08:10:05.000Z",
  "updated": "2009-02-04T10:58:26.000Z",
  "title": "Optimal State Discrimination in General Probabilistic Theories",
  "authors": [
    "Gen Kimura",
    "Takayuki Miyadera",
    "Hideki Imai"
  ],
  "comment": "9 pages, 6 figures",
  "journal": "Phys. Rev. A 79, 062306 (2009)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We investigate a state discrimination problem in operationally the most general framework to use a probability, including both classical, quantum theories, and more. In this wide framework, introducing closely related family of ensembles (which we call a {\\it Helstrom family of ensembles}) with the problem, we provide a geometrical method to find an optimal measurement for state discrimination by means of Bayesian strategy. We illustrate our method in 2-level quantum systems and in a probabilistic model with square-state space to reproduce e.g., the optimal success probabilities for binary state discrimination and $N$ numbers of symmetric quantum states. The existences of families of ensembles in binary cases are shown both in classical and quantum theories in any generic cases.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-04T10:58:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.Ta"
    ],
    "keywords": [
      "general probabilistic theories",
      "optimal state discrimination",
      "quantum theories",
      "state discrimination problem",
      "symmetric quantum states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "doi": "10.1103/PhysRevA.79.062306",
      "year": 2009,
      "month": "Jun",
      "volume": 79,
      "number": 6,
      "pages": "062306"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvA..79f2306K"
    }
  }
}