{
  "annotation_id": "0a0916dd-d0d9-4f0f-b6d3-28df287c0429",
  "date_created": "2026-03-02T18:02:33.445000Z",
  "date_modified": "2026-03-02T18:02:33.445000Z",
  "file_hash": "0026a28d8bacd45d23cf172f32b56818eb05bf4c4c149dc3454485a90129663a",
  "private": false,
  "record": {
    "abstract": "Probability measures (quasi probability mass), given in the form of integrals\nof Wigner function over areas of the underlying phase space, give rise to\noperator valued probability measures (OVM). General construction methods of\nOVMs, are investigated in terms of geometric positive trace increasing maps\n(PTI), for general 1D domains, as well as 2D shapes e.g. circles, disks.\nSpectral properties of OVMs and operational implementations of their\nconstructing PITs are discussed.",
    "arxiv_id": "quant-ph/0611278",
    "authors": [
      "Demosthenes Ellinas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2713469",
    "title": "Constructing Operator Valued Probability Measures in Phase Space",
    "url": "https://arxiv.org/abs/quant-ph/0611278"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5c6924e5-8b3d-49e2-9d8c-58d5270f30a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}