{
  "annotation_id": "630d4f6d-72c9-4e70-b328-080be3680a34",
  "date_created": "2026-03-02T18:02:19.895000Z",
  "date_modified": "2026-03-02T18:02:19.895000Z",
  "file_hash": "370ab6fcf4ac65db99dd9085c1aa9bd5b143330f19f8abd62fcd48bfbb310c59",
  "private": false,
  "record": {
    "abstract": "In this paper we present a systematic view of Quantum Cellular Automata\n(QCA), a mathematical formalism of quantum computation. First we give a general\nmathematical framework with which to study QCA models. Then we present four\ndifferent QCA models, and compare them. One model we discuss is the traditional\nQCA, similar to those introduced by Shumacher and Werner, Watrous, and Van Dam.\nWe discuss also Margolus QCA, also discussed by Schumacher and Werner. We\nintroduce two new models, Coloured QCA, and Continuous-Time QCA. We also\ncompare our models with the established models. We give proofs of computational\nequivalence for several of these models. We show the strengths of each model,\nand provide examples of how our models can be useful to come up with\nalgorithms, and implement them in real-world physical devices.",
    "arxiv_id": "quant-ph/0508164",
    "authors": [
      "Carlos A. Perez-Delgado",
      "Donny Cheung"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Models of Quantum Cellular Automata",
    "url": "https://arxiv.org/abs/quant-ph/0508164"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f9900aa-b75e-4d9d-9c5b-8f47cca9b519",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}