{
  "annotation_id": "bbe70eba-9d68-4230-bfba-5a9feec8f5cb",
  "date_created": "2026-03-02T18:01:45.467000Z",
  "date_modified": "2026-03-02T18:01:45.467000Z",
  "file_hash": "f48502e9ad631d3787e0b1eeb9f44f61449e7d369499cadf6bc2c885c40889cc",
  "private": false,
  "record": {
    "abstract": "The evolution of a quantum lattice gas automaton (LGA) for a single charged\nparticle is invariant under multiplication of the wave function by a global\nphase. Requiring invariance under the corresponding local gauge transformations\ndetermines the rule for minimal coupling to an arbitrary external\nelectromagnetic field. We develop the Aharonov-Bohm effect in the resulting\nmodel into a constant time algorithm to distinguish a one dimensional periodic\nlattice from one with boundaries; any classical deterministic LGA algorithm\ndistinguishing these two spatial topologies would have expected running time on\nthe order of the cardinality of the lattice.",
    "arxiv_id": "quant-ph/0105087",
    "authors": [
      "David A. Meyer"
    ],
    "categories": [
      "quant-ph",
      "nlin.CG"
    ],
    "doi": "10.1088/0305-4470/34/35/323",
    "title": "From gauge transformations to topology computation in quantum lattice   gas automata",
    "url": "https://arxiv.org/abs/quant-ph/0105087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aaf16ecc-d2d5-4c52-b621-5d69691436fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}