{
  "annotation_id": "5f15d502-c1cf-4e96-9fb7-61023cd95f42",
  "date_created": "2026-03-02T18:01:49.391000Z",
  "date_modified": "2026-03-02T18:01:49.391000Z",
  "file_hash": "3aa49f6145c5c17934a3a57134fa87e1d5c48f63457d63e76f04035e6cdd9da3",
  "private": false,
  "record": {
    "abstract": "Based on the recently introduced averaging procedure in phase space, a new\ntype of entropy is defined on the von Neumann lattice. This quantity can be\ninterpreted as a measure of uncertainty associated with simultaneous\nmeasurement of the position and momentum observables in the discrete subset of\nthe phase space. Evaluating for a class of the coherent states, it is shown\nthat this entropy takes a stationary value for the ground state, modulo a unit\ncell of the lattice in such a class. This value for the ground state depends on\nthe ratio of the position lattice spacing and the momentum lattice spacing. It\nis found that its minimum is realized for the perfect square lattice, i.e.,\nabsence of squeezing. Numerical evaluation of this minimum gives 1.386....",
    "arxiv_id": "quant-ph/0202092",
    "authors": [
      "Sumiyoshi Abe",
      "J. Zak"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/10/305",
    "title": "Entropy on the von Neumann lattice and its evaluation",
    "url": "https://arxiv.org/abs/quant-ph/0202092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d60d6537-4cda-4bee-a1fb-3088dc1d232a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}