{
  "annotation_id": "6db43b1d-47dd-4604-b908-acd65d6017f7",
  "date_created": "2026-03-02T18:01:59.923000Z",
  "date_modified": "2026-03-02T18:01:59.923000Z",
  "file_hash": "b5d794f5bf70f4212aabac06ca5c4fbc837725a7c9989916007acc5267477a49",
  "private": false,
  "record": {
    "abstract": "For the quantum Gaussian state family, Hayashi proposed a quantum mechanical\noperation using beam splitters to estimate the location and scale parameters of\nthe P-function, and he showed that it is asymptotically optimal. In this paper,\nwe analyze the effect of disturbance of his operation caused by the randomness\nof the transparency of the beam splitters. It is shown that even if the\nvariance of the random transparency is small, Hayashi\u0027s estimators are improper\nin a sense that they are biased and asymptotically inconsistent. In such a\ncase, we propose to stop the operation and correct the biases of estimators.",
    "arxiv_id": "quant-ph/0304124",
    "authors": [
      "Yoshiyuki Tsuda",
      "Keiji Matsumoto",
      "Masahito Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Disturbance of operation in quantum estimation for the Gaussian   P-function",
    "url": "https://arxiv.org/abs/quant-ph/0304124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ecb63e35-2678-4af9-b206-9d422244038f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}