{
  "annotation_id": "61173697-b51d-45d6-9a36-9c0178e8bdaf",
  "date_created": "2026-03-02T18:02:10.003000Z",
  "date_modified": "2026-03-02T18:02:10.003000Z",
  "file_hash": "26974339463f3fdb7b069e4b6e345e3822235be708ced69e4e61fd69964965d0",
  "private": false,
  "record": {
    "abstract": "It is shown that a quantum controlled-NOT gate simultaneously performs the\nlogical functions of three distinct conditional local operations. Each of these\nlocal operations can be verified by measuring a corresponding truth table of\nfour local inputs and four local outputs. The quantum parallelism of the gate\ncan then be observed directly in a set of three simple experimental tests, each\nof which has a clear intuitive interpretation in terms of classical logical\noperations. Specifically, quantum parallelism is achieved if the average\nfidelity of the three classical operations exceeds 2/3. It is thus possible to\nevaluate the essential quantum parallelism of an experimental controlled-NOT\ngate by testing only three characteristic classical operations performed by the\ngate.",
    "arxiv_id": "quant-ph/0407165",
    "authors": [
      "Holger F. Hofmann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.022329",
    "journal_ref": "Phys. Rev. A 72, 022329 (2005)",
    "title": "Quantum parallelism of the controlled-NOT operation: an experimental   criterion for the evaluation of device performance",
    "url": "https://arxiv.org/abs/quant-ph/0407165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4362eb01-f8f2-48e0-b30d-95c70485d3d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}