{
  "id": "2004.14504",
  "version": "v1",
  "published": "2020-04-29T22:27:22.000Z",
  "updated": "2020-04-29T22:27:22.000Z",
  "title": "Large deviation principle for moment map estimation",
  "authors": [
    "Alonso Botero",
    "Matthias Christandl",
    "Péter Vrana"
  ],
  "comment": "24 pages. See related work today by Franks and Walter",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR",
    "quant-ph"
  ],
  "abstract": "We consider a family of positive operator valued measures associated with representations of compact connected Lie groups. For many independent copies of a single state and a tensor power representation we show that the observed probability distributions converge to the value of the moment map. For invertible states we prove that the measures satisfy the large deviation principle with an explicitly given rate function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-29T22:27:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviation principle",
      "moment map estimation",
      "operator valued measures",
      "compact connected lie groups",
      "tensor power representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}