{
  "annotation_id": "3166e062-7795-4063-a4d0-6dd84988f6fc",
  "date_created": "2026-03-02T18:02:20.537000Z",
  "date_modified": "2026-03-02T18:02:20.537000Z",
  "file_hash": "b3325a501caf9ae5a16c627d77151b71c20de8abfd7dfc458e82fc4f16f3bcb3",
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  "record": {
    "abstract": "In Quantum Physics, a measurement is represented by a projection on some\nclosed subspace of a Hilbert space. We study algebras of operators that\nabstract from the algebra of projections on closed subspaces of a Hilbert\nspace. The properties of such operators are justified on epistemological\ngrounds. Commutation of measurements is a central topic of interest. Classical\nlogical systems may be viewed as measurement algebras in which all measurements\ncommute. Keywords: Quantum measurements, Measurement algebras, Quantum Logic.\nPACS: 02.10.-v.",
    "arxiv_id": "quant-ph/0507231",
    "authors": [
      "Daniel Lehmann",
      "Kurt Engesser",
      "Dov M. Gabbay"
    ],
    "categories": [
      "quant-ph",
      "cs.AI"
    ],
    "doi": "10.1007/s10773-006-9062-y",
    "journal_ref": "International Journal of Theoretical Physics, 45(4) April 2006,\n  pages 698-723",
    "title": "Algebras of Measurements: the logical structure of Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0507231"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "778235c2-bc11-4130-bf75-01dada3e4f47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}