{
  "annotation_id": "101f504e-7f66-47a9-b3cd-a606c71fd613",
  "date_created": "2026-03-02T18:02:37.148000Z",
  "date_modified": "2026-03-02T18:02:37.148000Z",
  "file_hash": "e32383d7468d45b52097f8263fa539121e456aa3bd51f4f5b5ba4ccbe8acd275",
  "private": false,
  "record": {
    "abstract": "It is shown that certain natural quantum logic gates, {\\it i.e.} unitary time\nevolution matrices for spin-\\frac{1}{2} quantum spins, can be represented as\nsums, with appropriate phases, over classical logic gates, in a direct analogy\nwith the Feynman path integral representation of quantum mechanics. On the\nother hand, it is shown that a natural quantum gate obtained by analytically\ncontinuing the transfer matrix of the anisotropic nearest-neighbour Ising model\nto imaginary time, does not admit such a representation.",
    "arxiv_id": "quant-ph/9606018",
    "authors": [
      "Bruno Nachtergaele",
      "Vipul Periwal"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum logic as a sum over classical logic gates",
    "url": "https://arxiv.org/abs/quant-ph/9606018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d51e61c-dd99-4351-8bd6-cd8a0121e21f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}