{
  "annotation_id": "cc3fd72c-5858-47f3-87b5-e1cf9adff87a",
  "date_created": "2026-03-02T18:02:20.693000Z",
  "date_modified": "2026-03-02T18:02:20.693000Z",
  "file_hash": "50379b3ad565bfd2cf5e847cc2d28e2c6d5aae525e026459dd79387310229ba6",
  "private": false,
  "record": {
    "abstract": "We formulate continuous time quantum walks (CTQW) in a discrete quantum\nmechanical phase space. We define and calculate the Wigner function (WF) and\nits marginal distributions for CTQWs on circles of arbitrary length $N$. The WF\nof the CTQW shows characteristic features in phase space. Revivals of the\nprobability distributions found for continuous and for discrete quantum carpets\ndo manifest themselves as characteristic patterns in phase space.",
    "arxiv_id": "quant-ph/0509141",
    "authors": [
      "Oliver Muelken",
      "Alexander Blumen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.73.012105",
    "journal_ref": "Phys. Rev. A 73, 012105 (2006)",
    "title": "Continuous time quantum walks in phase space",
    "url": "https://arxiv.org/abs/quant-ph/0509141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a2123920-a0aa-4646-9a67-6b3e8ecbe28a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}