{
  "annotation_id": "591147c3-4f00-454a-8dd9-ad5e412c6726",
  "date_created": "2026-03-02T18:01:59.926000Z",
  "date_modified": "2026-03-02T18:01:59.926000Z",
  "file_hash": "18c8fbeb0f8449b87d5207d096ccb1cfd48706b9cb760feff754d81780af0af5",
  "private": false,
  "record": {
    "abstract": "We develop an asymptotic theory of estimation of a shift parameter in a pure\nquantum state to study the relation between entangled and unentangled covariant\nestimates in the analytically most transparent way. After recollecting basics\nof estimation of shift parameter in Sec. 2, we study the structure of the\noptimal covariant estimate in Sec. 3, showing how entanglement comes into play\nfor several independent trials. In Secs. 4,5 we give the asymptotics of the\nperformance of the optimal covariant estimate comparing it with the\n``semiclassical\u0027\u0027 unentangled covariant estimation in the regular case of\nfinite variance of the generator of the shift group. Sec. 6 is devoted to\ncovariant estimation in the case where the regularity assumption is violated.",
    "arxiv_id": "quant-ph/0307225",
    "authors": [
      "A. S. Holevo"
    ],
    "categories": [
      "quant-ph",
      "math.PR"
    ],
    "journal_ref": "Probab. theory and appl. v. 49, N2, 2004",
    "title": "Asymptotic estimation of shift parameter of a quantum state",
    "url": "https://arxiv.org/abs/quant-ph/0307225"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e438d8b-ddf9-411f-a533-0f99d054000d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}