{
  "annotation_id": "23783fe3-4a3d-4983-9334-e051b9c8cc08",
  "date_created": "2026-03-02T18:02:20.536000Z",
  "date_modified": "2026-03-02T18:02:20.536000Z",
  "file_hash": "5314009dfc7c85d465fdd1b6e6b6a58d1828db394003b0ffd8e31f9c9a87f900",
  "private": false,
  "record": {
    "abstract": "We study numerically the behavior of continuous-time quantum walks over\nnetworks which are topologically equivalent to square lattices. On short time\nscales, when placing the initial excitation at a corner of the network, we\nobserve a fast, directed transport through the network to the opposite corner.\nThis transport is not ballistic in nature, but rather produced by quantum\nmechanical interference. In the long time limit, certain walks show an\nasymmetric limiting probability distribution; this feature depends on the\nstarting site and, remarkably, on the precise size of the network. The limiting\nprobability distributions show patterns which are correlated with the initial\ncondition. This might have consequences for the application of continuous time\nquantum walk algorithms.",
    "arxiv_id": "quant-ph/0507198",
    "authors": [
      "Oliver Muelken",
      "Antonio Volta",
      "Alexander Blumen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.72.042334",
    "journal_ref": "Phys. Rev. A 72, 042334 (2005)",
    "title": "Asymmetries in symmetric quantum walks on two-dimensional networks",
    "url": "https://arxiv.org/abs/quant-ph/0507198"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "edd29cb4-3b50-4f76-a1e0-99989957a51a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}