{
  "annotation_id": "b7fcf985-c3cd-496c-a002-fdcd21741de9",
  "date_created": "2026-03-02T18:02:37.926000Z",
  "date_modified": "2026-03-02T18:02:37.926000Z",
  "file_hash": "5bca2bee526ce2d1fd3f720560c25ded367b8169108e9cf92eb0328f462e15b5",
  "private": false,
  "record": {
    "abstract": "A natural architecture for nanoscale quantum computation is that of a quantum\ncellular automaton. Motivated by this observation, in this paper we begin an\ninvestigation of exactly unitary cellular automata. After proving that there\ncan be no nontrivial, homogeneous, local, unitary, scalar cellular automaton in\none dimension, we weaken the homogeneity condition and show that there are\nnontrivial, exactly unitary, partitioning cellular automata. We find a one\nparameter family of evolution rules which are best interpreted as those for a\none particle quantum automaton. This model is naturally reformulated as a two\ncomponent cellular automaton which we demonstrate to limit to the Dirac\nequation. We describe two generalizations of this automaton, the second of\nwhich, to multiple interacting particles, is the correct definition of a\nquantum lattice gas.",
    "arxiv_id": "quant-ph/9604003",
    "authors": [
      "David A. Meyer"
    ],
    "categories": [
      "quant-ph",
      "comp-gas",
      "hep-th",
      "nlin.CG"
    ],
    "doi": "10.1007/BF02199356",
    "journal_ref": "J. Stat. Phys. 85 (1996) 551-574",
    "title": "From quantum cellular automata to quantum lattice gases",
    "url": "https://arxiv.org/abs/quant-ph/9604003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e79060f8-d346-4355-8774-2aad881720d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}