{
  "annotation_id": "c54c8c50-4013-4e54-a0db-29009eb21d1d",
  "date_created": "2026-03-02T18:02:03.174000Z",
  "date_modified": "2026-03-02T18:02:03.174000Z",
  "file_hash": "4e4d1bfd389d9e4c4abfedb6de552754be03cd0be0946ed6398c238caa4ed071",
  "private": false,
  "record": {
    "abstract": "Recently, universally valid uncertainty relations have been established to\nset a precision limit for any instruments given a disturbance constraint in a\nform more general than the one originally proposed by Heisenberg. One of them\nleads to a quantitative generalization of the Wigner-Araki-Yanase theorem on\nthe precision limit of measurements under conservation laws. Applying this, a\nrigorous lower bound is obtained for the gate error probability of physical\nimplementations of Hadamard gates on a standard qubit of a spin 1/2 system by\ninteractions with control fields or ancilla systems obeying the angular\nmomentum conservation law.",
    "arxiv_id": "quant-ph/0310071",
    "authors": [
      "Masanao Ozawa"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "International Journal of Quantum Information (IJQI) 1, 569--588\n  (2003)",
    "title": "Uncertainty principle for quantum instruments and computing",
    "url": "https://arxiv.org/abs/quant-ph/0310071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "929c11ce-c976-42e1-a8e3-7939b7a53394",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}