{
  "id": "math-ph/0511065",
  "version": "v1",
  "published": "2005-11-21T19:04:24.000Z",
  "updated": "2005-11-21T19:04:24.000Z",
  "title": "A construction of a nonparametric quantum information manifold",
  "authors": [
    "Anna Jencova"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a construction of a Banach manifold on the set of faithful normal states of a von Neumann algebra, where the underlying Banach space is a quantum analogue of an Orlicz space. On the manifold, we introduce the exponential and mixture connections as dual pair of affine connections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-21T19:04:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B20",
      "53C80"
    ],
    "keywords": [
      "nonparametric quantum information manifold",
      "construction",
      "von neumann algebra",
      "banach space",
      "banach manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..11065J"
    }
  }
}