{
  "annotation_id": "651f7fea-dd47-4456-907a-a1649d96f19d",
  "date_created": "2026-03-02T18:02:09.391000Z",
  "date_modified": "2026-03-02T18:02:09.391000Z",
  "file_hash": "5c507011c0035139f9f8dd6021f0a19e2764a2cf570f30221c9f96f9b1e49dc3",
  "private": false,
  "record": {
    "abstract": "The position density of a \"particle\" performing a continuous-time quantum\nwalk on the integer lattice, viewed on length scales inversely proportional to\nthe time t, converges (as t tends to infinity) to a probability distribution\nthat depends on the initial state of the particle. This convergence behavior\nhas recently been demonstrated for the simplest continuous-time random walk\n[see quant-ph/0408140]. In this brief report, we use a different technique to\nestablish the same convergence for a very large class of continuous-time\nquantum walks, and we identify the limit distribution in the general case.",
    "arxiv_id": "quant-ph/0409042",
    "authors": [
      "Alex D. Gottlieb"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.72.047102",
    "title": "Convergence of continuous-time quantum walks on the line",
    "url": "https://arxiv.org/abs/quant-ph/0409042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "975fe194-81ad-4294-a3c1-c8976684d090",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}