{
  "annotation_id": "3c00210b-45af-4e5f-9427-949a198b2c6e",
  "date_created": "2026-03-02T18:02:07.054000Z",
  "date_modified": "2026-03-02T18:02:07.054000Z",
  "file_hash": "ed84e7cda25d0f1f6f0272b18f10f1c87f8034f8f2ebcde399c8c2287a951c94",
  "private": false,
  "record": {
    "abstract": "Coined quantum walks may be interpreted as the motion in position space of a\nquantum particle with a spin degree of freedom; the dynamics are determined by\niterating a unitary transformation which is the product of a spin\ntransformation and a translation conditional on the spin state. Coined quantum\nwalks on the d-dimensional lattice can be treated as special cases of coined\nquantum walks on d-dimensional Euclidean space. We study quantum walks on\nd-dimensional Euclidean space and prove that the sequence of rescaled\nprobability distributions in position space associated to the unitary evolution\nof the particle converges to a limit distribution.",
    "arxiv_id": "quant-ph/0406072",
    "authors": [
      "Alex D. Gottlieb",
      "Svante Janson",
      "Petra F. Scudo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Convergence of coined quantum walks on d-dimensional Euclidean space",
    "url": "https://arxiv.org/abs/quant-ph/0406072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f0123b26-d020-45af-b0b0-b087478215d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}