{
  "annotation_id": "ccef7195-0605-4cee-88a6-a8ab3694e333",
  "date_created": "2026-03-02T18:02:13.748000Z",
  "date_modified": "2026-03-02T18:02:13.748000Z",
  "file_hash": "fc3b04186c9e991477007b8915376c1e98d5a51a32f89027dcd622371ca4a273",
  "private": false,
  "record": {
    "abstract": "We study a natural notion of decoherence on quantum random walks over the\nhypercube. We prove that in this model there is a decoherence threshold beneath\nwhich the essential properties of the hypercubic quantum walk, such as linear\nmixing times, are preserved. Beyond the threshold, we prove that the walks\nbehave like their classical counterparts.",
    "arxiv_id": "quant-ph/0501169",
    "authors": [
      "Gorjan Alagic",
      "Alexander Russell"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062304",
    "journal_ref": "Physical Review A 72, 062304 (2005)",
    "title": "Decoherence in Quantum Walks on the Hypercube",
    "url": "https://arxiv.org/abs/quant-ph/0501169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ebdd6e66-84c8-43a8-91c2-461d33e16966",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}