{
  "annotation_id": "8bda2965-59ca-45b8-9ed7-ab734c1d04a0",
  "date_created": "2026-03-02T18:02:16.364000Z",
  "date_modified": "2026-03-02T18:02:16.364000Z",
  "file_hash": "78f2ad5a3f424092ed58bf25ee19b15bad88577ee4dc630a676b7ad9609c00b6",
  "private": false,
  "record": {
    "abstract": "We construct, for any finite dimension $n$, a new hidden measurement model\nfor quantum mechanics based on representing quantum transition probabilities by\nthe volume of regions in projective Hilbert space. For $n=2$ our model is\nequivalent to the Aerts sphere model and serves as a generalization of it for\ndimensions $n \\geq 3$. We also show how to construct a hidden variables scheme\nbased on hidden measurements and we discuss how joint distributions arise in\nour hidden variables scheme and their relationship with the results of Fine.",
    "arxiv_id": "quant-ph/0504019",
    "authors": [
      "Todd A. Oliynyk"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10701-004-1921-x",
    "journal_ref": "Found. Phys. 35 (2005), 85-107",
    "title": "Hidden measurements, hidden variables and the volume representation of   transition probabilities",
    "url": "https://arxiv.org/abs/quant-ph/0504019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "196afc23-9936-4498-98b1-72fe7235c0f6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}