{
  "annotation_id": "773c466a-debb-4928-a64b-906cdae69c8d",
  "date_created": "2026-03-02T18:01:53.174000Z",
  "date_modified": "2026-03-02T18:01:53.174000Z",
  "file_hash": "d9ed03cb4519b2e576679ad19c9be74ef657a6ccef6c219d993aafcacced0533",
  "private": false,
  "record": {
    "abstract": "We consider a quantum gate that complements the state of a qubit and then\nadds to it an arbitrary phase shift. It is shown that the minimum operation\ntime of the gate is tau = (h/4E)(1+2 theta/pi), where h is Planck\u0027s constant, E\nis the quantum-mechanical average energy, and theta is the phase shift modulo\npi.\n  [We changed the name of a macro file to a more Windows-friendly one, and we\nclarified the remark \"Note that...\" after equation (4).]",
    "arxiv_id": "quant-ph/0210076",
    "authors": [
      "Lev B. Levitin",
      "Tommaso Toffoli",
      "Zachary Walton"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Operation Time of Quantum Gates",
    "url": "https://arxiv.org/abs/quant-ph/0210076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b8ae9df-f581-405f-9e96-73076c7ac0a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}