{
  "id": "2010.02111",
  "version": "v1",
  "published": "2020-10-05T15:53:41.000Z",
  "updated": "2020-10-05T15:53:41.000Z",
  "title": "Rényi Entropy, Signed Probabilities, and the Qubit",
  "authors": [
    "Adam Brandenburger",
    "Pierfrancesco La Mura",
    "Stuart Zoble"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The states of the qubit, the basic unit of quantum information, are $2\\times2$ positive semi-definite Hermitian matrices with trace $1$. We characterize these states in terms of an entropic uncertainty principle formulated on an eight-point phase space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-05T15:53:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rényi entropy",
      "signed probabilities",
      "eight-point phase space",
      "entropic uncertainty principle",
      "positive semi-definite hermitian matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}