{
  "annotation_id": "899bb443-e4de-4b2e-b612-53cd155d1813",
  "date_created": "2026-03-02T18:02:06.282000Z",
  "date_modified": "2026-03-02T18:02:06.282000Z",
  "file_hash": "f98d6e6d74ef78eafb7cf2c6c11646d2dcca03c10f470b2e8a80d4fc03a10e4e",
  "private": false,
  "record": {
    "abstract": "We show analytically that particle trapping appears in a quantum process\ncalled \"quantum walk\", in which the particle moves macroscopically correlating\nto the inner states. It has been well known that a particle in the ``Hadamard\nwalk\" with two inner states spreads away quickly on a line. In contrast, we\nfind one-dimensional quantum walk with multi-state in which a particle stays at\nthe starting point entirely with high positive probability. This striking\ndifference is explained from difference between degeneration of eigenvalues of\nthe time-evolution matrices.",
    "arxiv_id": "quant-ph/0403153",
    "authors": [
      "Norio Inui",
      "Norio Konno"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physa.2004.12.060",
    "title": "Localization of Multi-State Quantum Walk in One Dimension",
    "url": "https://arxiv.org/abs/quant-ph/0403153"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a43c8f3-d599-4a6e-bfbd-0a9ccfd09d58",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}