{
  "annotation_id": "79bc0737-fef5-4e4b-874e-ddcc33892e67",
  "date_created": "2026-03-02T18:01:52.880000Z",
  "date_modified": "2026-03-02T18:01:52.880000Z",
  "file_hash": "fcb43290e968eb011ebc0778d8d72d83d9a066b1a3dfae71668d8850592eacf6",
  "private": false,
  "record": {
    "abstract": "We define an operational notion of phases in interferometry for a quantum\nsystem undergoing a completely positive non-unitary evolution. This definition\nis based on the concepts of quantum measurement theory. The suitable\ngeneralization of the Pancharatnan connection allows us to determine the\ndynamical and geometrical parts of the total phase between two states linked by\na completely positive map. These results reduce to the knonw expressions of\ntotal, dynamical and geometrical phases for pure and mixed states evolving\nunitarily.",
    "arxiv_id": "quant-ph/0205146",
    "authors": [
      "J. G. Peixoto de Faria",
      "A. F. R. de Toledo Piza",
      "M. C. Nemes"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1209/epl/i2003-00440-4",
    "journal_ref": "Europhysics Letters 62(6), 782 (2003)",
    "title": "Phases of quantum states in completely positive non-unitary evolution",
    "url": "https://arxiv.org/abs/quant-ph/0205146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e2b36c2-ca38-42da-ba8e-b687a2f17595",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}