{
  "id": "1304.6618",
  "version": "v2",
  "published": "2013-04-24T15:08:47.000Z",
  "updated": "2013-05-01T05:18:25.000Z",
  "title": "Derivation of Born Rule from Algebraic and Statistical Axioms",
  "authors": [
    "Izumi Ojima",
    "Kazuya Okamura",
    "Hayato Saigo"
  ],
  "comment": "12 pages",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the concept of sectors defined as quasi-equivalence classes of factor states plays a crucial role.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-01T05:18:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "born rule",
      "statistical axioms",
      "derivation",
      "factor states plays",
      "quasi-equivalence classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6618O"
    }
  }
}