{
  "annotation_id": "f1bceba9-46b4-40a6-80eb-dfd59e20d31a",
  "date_created": "2026-03-02T18:01:59.932000Z",
  "date_modified": "2026-03-02T18:01:59.932000Z",
  "file_hash": "230891c84bdc082ede6e0428b5a93b168eebb5974225bbaf96bb5a217cf4aad6",
  "private": false,
  "record": {
    "abstract": "The Wigner function shares several properties with classical distribution\nfunctions on phase space, but is not positive-definite. The integral of the\nWigner function over a given region of phase space can therefore lie outside\nthe interval [0,1]. The problem of finding best-possible upper and lower bounds\nfor a given region is the problem of finding the greatest and least eigenvalues\nof an associated Hermitian operator. Exactly solvable examples are described,\nand possible extensions are indicated.",
    "arxiv_id": "quant-ph/0304110",
    "authors": [
      "A. J. Bracken",
      "D. Ellinas",
      "J. G. Wood"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1556/APH.20.2004.1-2.24",
    "title": "Non-positivity of the Wigner function and bounds on associated integrals",
    "url": "https://arxiv.org/abs/quant-ph/0304110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fbaa9a7f-c041-4359-b9eb-73bae1ac771c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}