{
  "annotation_id": "c0c21de9-10bd-447e-9f5e-00facbbb92dd",
  "date_created": "2026-03-02T18:01:49.397000Z",
  "date_modified": "2026-03-02T18:01:49.397000Z",
  "file_hash": "b9d96b7d9efe12e867b0bed0b19bd9cb69e556104740dab64ab1425088dec665",
  "private": false,
  "record": {
    "abstract": "We discuss the case of a Markovian master equation for an open system, as it\nis frequently found from environmental decoherence. We prove two theorems for\nthe evolution of the quantum state. The first one states that for a generic\ninitial state the corresponding Wigner function becomes strictly positive after\na finite time has elapsed. The second one states that also the P-function\nbecomes exactly positive after a decoherence time of the same order. Therefore\nthe density matrix becomes exactly decomposable into a mixture of Gaussian\npointer states.",
    "arxiv_id": "quant-ph/0111139",
    "authors": [
      "Lajos Diosi",
      "Claus Kiefer"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "doi": "10.1088/0305-4470/35/11/312",
    "journal_ref": "J.Phys.A35:2675-2684,2002",
    "title": "Exact positivity of the Wigner and P-functions of a Markovian open   system",
    "url": "https://arxiv.org/abs/quant-ph/0111139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b3c6d6b-c3fc-4349-a3c8-06c310e239a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}