{
  "annotation_id": "325a18cf-8f87-46cb-bacf-b123a9a5d4a2",
  "date_created": "2026-03-02T18:01:42.077000Z",
  "date_modified": "2026-03-02T18:01:42.077000Z",
  "file_hash": "bd48ccf0d6b6dc444f5c5e52b0ca4d4d9bd398a4c420c9ac3e4613e733add729",
  "private": false,
  "record": {
    "abstract": "The problem of distinguishing two unitary transformations, or quantum gates,\nis analyzed and a function reflecting their statistical distinguishability is\nfound. Given two unitary operations, $U_1$ and $U_2$, it is proved that there\nalways exists a finite number $N$ such that $U_1^{\\otimes N}$ and $U_2^{\\otimes\nN}$ are perfectly distinguishable, although they were not in the single-copy\ncase. This result can be extended to any finite set of unitary transformations.\nFinally, a fidelity for one-qubit gates, which satisfies many useful properties\nfrom the point of view of quantum information theory, is presented.",
    "arxiv_id": "quant-ph/0102064",
    "authors": [
      "A. Acin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.87.177901",
    "journal_ref": "Phys. Rev. Lett 87, 177901 (2001).",
    "title": "Statistical distinguishability between unitary operations",
    "url": "https://arxiv.org/abs/quant-ph/0102064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dec9f585-346b-4fe5-ba7d-8008324b2bf8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}