{
  "annotation_id": "b7aa81f8-1777-4ef8-b5ad-56e938f07979",
  "date_created": "2026-03-02T18:02:43.879000Z",
  "date_modified": "2026-03-02T18:02:43.879000Z",
  "file_hash": "ad5e0aaf8ba16797d2b35f962201c30ff573107f593284d85ebab6c7d14a06df",
  "private": false,
  "record": {
    "abstract": "It is shown that the connection form (gauge field) related to the\ngeneralization of the Berry phase to mixed states proposed by Uhlmann satisfies\nthe source-free Yang-Mills equation *D*Dw=0, where the Hodge star is taken with\nrespect to the Bures metric on the space of finite dimensional nondegenerate\ndensity matrices.",
    "arxiv_id": "quant-ph/9806018",
    "authors": [
      "J. Dittmann"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Lett.Math.Phys. 46 (1998) 281-287",
    "title": "Yang-Mills Equation and Bures Metric",
    "url": "https://arxiv.org/abs/quant-ph/9806018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "49f4846c-f17d-4379-8684-82a54e31853a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}