{
  "annotation_id": "d4f29858-beed-4012-87ac-7c7c57b5f537",
  "date_created": "2026-03-02T18:02:03.521000Z",
  "date_modified": "2026-03-02T18:02:03.521000Z",
  "file_hash": "75eae0c4b2df3e388ca0932f2a1ff67b93f9cedd1f362a6c4626e7121c66be1a",
  "private": false,
  "record": {
    "abstract": "On the basis of the phase states, we present the correct integral expressions\nof the two number-phase Wigner functions discovered so far. These correct forms\nare derived from those defined in the extended Fock space with negative number\nstates. The analogous conditions to Wigner\u0027s original ones cannot lead to the\nnumber-phase function uniquely. To show this fact explicitly, we propose\nanother function satisfying all these conditions. It is also shown that the\nununiqueness of the number-phase Wigner function result from the\nphase-periodicity problem.",
    "arxiv_id": "quant-ph/0309165",
    "authors": [
      "Kiyotaka Kakazu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Number-phase Wigner function on extended Fock space",
    "url": "https://arxiv.org/abs/quant-ph/0309165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5b576434-370c-4813-9e1c-14f2da226864",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}