{
  "annotation_id": "838cfd9f-31be-46f0-9795-77b7410c8762",
  "date_created": "2026-03-02T18:01:38.553000Z",
  "date_modified": "2026-03-02T18:01:38.553000Z",
  "file_hash": "a53d52b6df88a00c1ef75bdbb8fe502545e2bec90fe6dc1503a58769aa403ce2",
  "private": false,
  "record": {
    "abstract": "A reference frame F is described by the element g of the Poincare\u0027 group P\nwhich connects F with a given fixed frame F_0. If F is a quantum frame, defined\nby a physical object following the laws of quantum physics, the parameters of g\nhave to be considered as quantum observables. However, these observables are\nnot compatible and some of them, namely the coordinates of the origin of F,\ncannot be represented by self-adjoint operators. Both these difficulties can be\novercome by considering a positive-operator-valued measure (POVM) on P,\ncovariant with respect to the left translations of the group, namely a\ncovariance system. We develop a construction procedure for this kind of\nmathematical structure. The formalism is also used to discuss the quantum\nobservables measured with respect to a quantum reference frame.",
    "arxiv_id": "quant-ph/0006060",
    "authors": [
      "S. Mazzucchi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1370395",
    "title": "On the Observables Describing a Quantum Reference Frame",
    "url": "https://arxiv.org/abs/quant-ph/0006060"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0127d85-edc9-4576-85e4-889c9926de9e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}