{
  "annotation_id": "48ceaf2d-5dd7-4a88-889e-5ac0f68c605c",
  "date_created": "2026-03-02T18:02:20.650000Z",
  "date_modified": "2026-03-02T18:02:20.650000Z",
  "file_hash": "02de2c778abc31a56082cd077b2b84b9e7617e97c37b2b367c7d881d4ee03756",
  "private": false,
  "record": {
    "abstract": "An integral of the Wigner function of a wavefunction |psi \u003e, over some region\nS in classical phase space is identified as a (quasi) probability measure (QPM)\nof S, and it can be expressed by the |psi \u003e average of an operator referred to\nas the region operator (RO). Transformation theory is developed which provides\nthe RO for various phase space regions such as point, line, segment, disk and\nrectangle, and where all those ROs are shown to be interconnected by completely\npositive trace increasing maps. The latter are realized by means of unitary\noperators in Fock space extended by 2D vector spaces, physically identified\nwith finite dimensional systems. Bounds on QPMs for regions obtained by tiling\nwith discs and rectangles are obtained by means of majorization theory.",
    "arxiv_id": "quant-ph/0510140",
    "authors": [
      "Demosthenes Ellinas",
      "Ioannis Tsohantjis"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(06)80009-1",
    "title": "Region Operators of Wigner Function: Transformations, Realizations and   Bounds",
    "url": "https://arxiv.org/abs/quant-ph/0510140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a443d73-d68e-4030-b291-bd0f31576859",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}