{
  "annotation_id": "77c876fc-3ef7-4aa4-b322-0e159f2f4cfb",
  "date_created": "2026-03-02T18:01:52.864000Z",
  "date_modified": "2026-03-02T18:01:52.864000Z",
  "file_hash": "5b1def4ea6d636bc8fa63c1e62a04314b9105984a14f5768f88eca46eb71a368",
  "private": false,
  "record": {
    "abstract": "This paper treats absorption problems for the one-dimensional quantum walk\ndetermined by a 2 times 2 unitary matrix U on a state space {0,1,...,N} where N\nis finite or infinite by using a new path integral approach based on an\northonormal basis P, Q, R and S of the vector space of complex 2 times 2\nmatrices. Our method studied here is a natural extension of the approach in the\nclassical random walk.",
    "arxiv_id": "quant-ph/0208122",
    "authors": [
      "Norio Konno",
      "Takao Namiki",
      "Takahiro Soshi",
      "Aidan Sudbury"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/1/316",
    "journal_ref": "J. Phys. A: Math. Gen., Vol. 36, No.1, pp.241-253 (2003)",
    "title": "Absorption problems for quantum walks in one dimension",
    "url": "https://arxiv.org/abs/quant-ph/0208122"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a5f0bfe-2d13-44e9-99d2-df73fdd75037",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}