{
  "annotation_id": "6729045f-f9d5-437b-820e-b29ef47b6f66",
  "date_created": "2026-03-02T18:02:00.270000Z",
  "date_modified": "2026-03-02T18:02:00.270000Z",
  "file_hash": "f07cf9ef06d052aa8129f961d05f2efcab50133674f42563f583967f789840c1",
  "private": false,
  "record": {
    "abstract": "We use simple deterministic dynamical systems as coins in studying quantum\nwalks. These dynamical systems can be chosen to display, in the classical\nlimit, a range of behaviors from the integrable to chaotic, or\ndeterministically random. As an example of an integrable coin we study the\nFourier walk that generalizes the Hadamard walk and show that the walker slows\ndown with coin dimensionality, which controls the effective Planck constant.\nIntroducing multi-Harper maps as deterministic models of random walks we study\nthe effect of coin chaos on the quantum walk. We also demonstrate that breaking\ntime-reversal symmetry in the coin dynamics effectively slows down the walk.",
    "arxiv_id": "quant-ph/0305026",
    "authors": [
      "Arul Lakshminarayan"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "nlin.CD"
    ],
    "title": "What is random about a quantum random walk?",
    "url": "https://arxiv.org/abs/quant-ph/0305026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "404b61a4-c6bc-4c80-88c2-5aba6f0ae1a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}