{
  "annotation_id": "5cab38a5-5d94-4470-bfc3-e5dfe4dfa85a",
  "date_created": "2026-03-02T18:01:46.020000Z",
  "date_modified": "2026-03-02T18:01:46.020000Z",
  "file_hash": "df2eca6eb1bd693f75743a74bdaec35d811c915d2c4818a27103c548cf3560f9",
  "private": false,
  "record": {
    "abstract": "In order to determine the Wigner function uniquely, we introduce a new\ncondition which ensures that the Wigner function has correct marginal\ndistributions along tilted lines. For a system in $N$ dimensional Hilbert\nspace, whose \"phase space\" is a lattice with $N^2$ sites, we get different\nresults depending on whether $N$ is odd or even. Under the new condition, the\nWigner function is determined if $N$ is an odd number, but it does not exist if\n$N$ is even.",
    "arxiv_id": "quant-ph/0108050",
    "authors": [
      "Minoru Horibe",
      "Akiyoshi Takami",
      "Takaaki Hashimoto",
      "Akihisa Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.032105",
    "journal_ref": "Phys.Rev. A 65(2002)032105",
    "title": "Existence of the Wigner function with correct marginal distributions   along tilted lines on a lattice",
    "url": "https://arxiv.org/abs/quant-ph/0108050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ebc9841e-fa96-470a-8b65-3523f0515975",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}