{
  "annotation_id": "06abe632-e19e-45ff-8b9c-98673c046c64",
  "date_created": "2026-03-02T18:02:03.643000Z",
  "date_modified": "2026-03-02T18:02:03.643000Z",
  "file_hash": "5066616866d30a67f72e75792a1d6e31e3381d5e9967a324a5256171dfc02b6d",
  "private": false,
  "record": {
    "abstract": "We study quantum walks on general graphs from the point of view of scattering\ntheory. For a general finite graph we choose two vertices and attach one half\nline to each. We are interested in walks that proceed from one half line,\nthrough the graph, to the other. The particle propagates freely on the half\nlines but is scattered at each vertex in the original graph. The probability of\nstarting on one line and reaching the other after n steps can be expressed in\nterms of the transmission amplitude for the graph. An example is presented.",
    "arxiv_id": "quant-ph/0312062",
    "authors": [
      "Edgar Feldman",
      "Mark Hillery"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.03.005",
    "journal_ref": "Physics Letters A 324, 277 (2004)",
    "title": "Scattering theory and discrete-time quantum walks",
    "url": "https://arxiv.org/abs/quant-ph/0312062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d35a23bd-340c-43df-bed9-a21dc0597251",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}