{
  "annotation_id": "9ad16dd1-bd7d-496b-8456-200442c88917",
  "date_created": "2026-03-02T18:02:15.967000Z",
  "date_modified": "2026-03-02T18:02:15.967000Z",
  "file_hash": "0ace6ec05f9c485c22276e91da67d6128c8c18d11ed6940330db4c0cd84c2887",
  "private": false,
  "record": {
    "abstract": "We study a quantum cellular automaton (QCA) whose time-evolution is defined\nfrom global transition function of classical cellular automata (CA). In order\nto investigate natural transformations from CA to QCA, the present QCA includes\nCA with Wolfram\u0027s rule 150 and 105 as special cases. We firstly compute the\ntime-evolution of the QCA and examine its statistical properties. As a basic\nstatistical value, the probability of finding an active cell averaged over a\nspatial-temporal space is introduced, and the difference between CA and QCA is\nconsidered. In addition, it is shown that statistical properties in QCA are\nrelated to the classical trajectory in the configuration space.",
    "arxiv_id": "quant-ph/0504104",
    "authors": [
      "Norio Inui",
      "Shuichi Inokuchi",
      "Yoshihiro Mizoguchi",
      "Norio Konno"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.032323",
    "title": "Statistical Properties of a Quantum Cellular Automaton",
    "url": "https://arxiv.org/abs/quant-ph/0504104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1f180b9-be1e-4890-9e17-70ca22fbd3ed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}