{
  "annotation_id": "5e8f052d-a74b-43e2-bbbd-eb50e0ecad9d",
  "date_created": "2026-03-02T18:02:09.192000Z",
  "date_modified": "2026-03-02T18:02:09.192000Z",
  "file_hash": "2dfc6f3b10f60c740431a9d975fbf8eed26e1cd8d38916cd69837b1b34f57728",
  "private": false,
  "record": {
    "abstract": "In recent work [quant-ph/0405174] by Schumacher and Werner was discussed an\nabstract algebraic approach to a model of reversible quantum cellular automata\n(CA) on a lattice. It was used special model of CA based on partitioning scheme\nand so there is a question about quantum CA derived from more general, standard\nmodel of classical CA. In present work is considered an approach to definition\nof a scheme with \"history\", valid for quantization both irreversible and\nreversible classical CA directly using local transition rules. It is used\nlanguage of vectors in Hilbert spaces instead of C*-algebras, but results may\nbe compared in some cases. Finally, the quantum lattice gases, quantum walk and\n\"bots\" are also discussed briefly.",
    "arxiv_id": "quant-ph/0406119",
    "authors": [
      "Alexander Yu. Vlasov"
    ],
    "categories": [
      "quant-ph",
      "cs.OH",
      "nlin.CG"
    ],
    "title": "On Quantum Cellular Automata",
    "url": "https://arxiv.org/abs/quant-ph/0406119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd427f3c-1297-4e4b-9e75-e82857e87db2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}