{
  "annotation_id": "625e1b1a-530d-4771-8308-590ad57c7a15",
  "date_created": "2026-03-02T18:02:27.607000Z",
  "date_modified": "2026-03-02T18:02:27.607000Z",
  "file_hash": "e827b68a08fccd957c0ce6ac03431cfecb2aaae6010af16c3084b85a85fa3297",
  "private": false,
  "record": {
    "abstract": "Quantum walks are not only algorithmic tools for quantum computation but also\nnot trivial models which describe various physical processes. The paper\ncompares one-dimensional version of the free particle Dirac equation with\ndiscrete time quantum walk (DTQW). We show that the discretized Dirac equation\nwhen compared with DTQW results in interesting relations. It is also shown that\ntwo relativistic effects associated with the Dirac equation, namely\nZitterbewegung (quivering motion) and Klein\u0027s paradox, are present in DTQW,\nwhich can be implemented within non-relativistic quantum mechanics.",
    "arxiv_id": "quant-ph/0606171",
    "authors": [
      "Pawel Kurzynski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2008.08.017",
    "journal_ref": "Phys. Lett. A 372, 6125 (2008)",
    "title": "Relativistic effects in quantum walks: Klein\u0027s paradox and   Zitterbewegung",
    "url": "https://arxiv.org/abs/quant-ph/0606171"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "975df94e-2549-4091-8d56-c74867e2572a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}