{
  "annotation_id": "15859ffa-926e-48e9-81ea-3ddb67652dcf",
  "date_created": "2026-03-02T18:02:03.117000Z",
  "date_modified": "2026-03-02T18:02:03.117000Z",
  "file_hash": "5c5ec18b60ef605f0501aa5c2669cf0e7ed342ebd9579a4e09d558f5ab820b72",
  "private": false,
  "record": {
    "abstract": "The effect of unitary noise on the discrete one-dimensional quantum walk is\nstudied using computer simulations. For the noiseless quantum walk, starting at\nthe origin (n=0) at time t=0, the position distribution Pt(n) at time t is very\ndifferent from the Gaussian distribution obtained for the classical random\nwalk. Furthermore, its standard deviation, sigma(t) scales as sigma(t) ~ t,\nunlike the classical random walk for which sigma(t) ~ sqrt{t}. It is shown that\nwhen the quantum walk is exposed to unitary noise, it exhibits a crossover from\nquantum behavior for short times to classical-like behavior for long times. The\ncrossover time is found to be T ~ alpha^(-2) where alpha is the standard\ndeviation of the noise.",
    "arxiv_id": "quant-ph/0309063",
    "authors": [
      "Daniel Shapira",
      "Ofer Biham",
      "A. J. Bracken",
      "Michelle Hackett"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.062315",
    "title": "One dimensional quantum walk with unitary noise",
    "url": "https://arxiv.org/abs/quant-ph/0309063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fe876943-98b8-4fda-97d0-eb3ed3fc0ceb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}