{
  "annotation_id": "036ab9b6-df6b-48ff-ab21-fb7e410bd2f7",
  "date_created": "2026-03-02T18:02:34.539000Z",
  "date_modified": "2026-03-02T18:02:34.539000Z",
  "file_hash": "4c9700ea268e31df595791d0c679bd510e4c81879706fe541ceff63c0e031a33",
  "private": false,
  "record": {
    "abstract": "According to a classical result due to Hudson, the Wigner function of a pure,\ncontinuous variable quantum state is non-negative if and only if the state is\nGaussian. We have proven an analogous statement for finite-dimensional quantum\nsystems. In this context, the role of Gaussian states is taken on by stabilizer\nstates. The general results have been published in [D. Gross, J. Math. Phys.\n47, 122107 (2006)]. For the case of systems of odd prime dimension, a greatly\nsimplified proof can be employed which still exhibits the main ideas. The\npresent paper gives a self-contained account of these methods.",
    "arxiv_id": "quant-ph/0702004",
    "authors": [
      "David Gross"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s00340-006-2510-9",
    "journal_ref": "Appl. Phys. B 86, 367-370 (2007)",
    "title": "Non-negative Wigner functions in prime dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0702004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "33f582ea-34b4-413f-bb6c-ba4b97bf882d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}