{
  "annotation_id": "ce8bf48b-93e9-4865-ac6f-3cc99b1741b6",
  "date_created": "2026-03-02T18:02:31.243000Z",
  "date_modified": "2026-03-02T18:02:31.243000Z",
  "file_hash": "c008d94f5a35753ea0c3b5d9e3a332ae5571ade7bcaeb1c0339250a902579d2b",
  "private": false,
  "record": {
    "abstract": "We study the quantum-mechanical transport on two-dimensional graphs by means\nof continuous-time quantum walks and analyse the effect of different boundary\nconditions (BCs). For periodic BCs in both directions, i.e., for tori, the\nproblem can be treated in a large measure analytically. Some of these results\ncarry over to graphs which obey open boundary conditions (OBCs), such as\ncylinders or rectangles. Under OBCs the long time transition probabilities\n(LPs) also display asymmetries for certain graphs, as a function of their\nparticular sizes. Interestingly, these effects do not show up in the marginal\ndistributions, obtained by summing the LPs along one direction.",
    "arxiv_id": "quant-ph/0610212",
    "authors": [
      "Antonio Volta",
      "Oliver Muelken",
      "Alexander Blumen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/0305-4470/39/48/011",
    "journal_ref": "J. Phys. A 39, 14997 (2006)",
    "title": "Quantum transport on two-dimensional regular graphs",
    "url": "https://arxiv.org/abs/quant-ph/0610212"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "42ef4b57-1119-41db-b965-d0dc6b57dfb8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}