{
  "annotation_id": "3c6f0fec-22ee-4bb5-9d98-1e0699d16da5",
  "date_created": "2026-03-02T18:01:59.608000Z",
  "date_modified": "2026-03-02T18:01:59.608000Z",
  "file_hash": "8a037d7db33a295de5e03ee93889593c2d6a44bea5b903f45fae09e6d11bf131",
  "private": false,
  "record": {
    "abstract": "We study the issue of simultaneous estimation of several phase shifts induced\nby commuting operators on a quantum state. We derive the optimal positive\noperator-valued measure corresponding to the multiple-phase estimation. In\nparticular, we discuss the explicit case of the optimal detection of double\nphase for a system of identical qutrits and generalise these results to optimal\nmultiple phase detection for d-dimensional quantum states.",
    "arxiv_id": "quant-ph/0304126",
    "authors": [
      "Chiara Macchiavello"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.062302",
    "title": "Optimal estimation of multiple phases",
    "url": "https://arxiv.org/abs/quant-ph/0304126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0f73cd6f-ee92-4a97-bf2f-8e3da623d8c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}