{
  "annotation_id": "d029244d-1dcb-410d-bed6-5d1cbe429f26",
  "date_created": "2026-03-02T18:01:56.115000Z",
  "date_modified": "2026-03-02T18:01:56.115000Z",
  "file_hash": "11d13cefe032ab62bcd69638669e53c465df6d42ea62c3a7f0d83efe388a3f1f",
  "private": false,
  "record": {
    "abstract": "We generalize the classical probability frame by adopting a wider family of\nrandom variables that includes nondeterministic ones. The frame that emerges is\nknown to host a \u0027\u0027classical\u0027\u0027 extension of quantum mechanics. We discuss the\nnotion of probabilistic correlation and show that it includes two kinds of\ncorrelation: a classical one, which occurs for both deterministic and\nindeterministic observables, and a nonclassical one, which occurs only for\nindeterministic observables. The latter will be called probabilistic\nentanglement and represents a property of intrinsically random systems, not\nnecessarily quantum. It appears possible to separate the two kinds of\ncorrelation and characterize them by numerical functions which satisfy a simple\nproduct rule.",
    "arxiv_id": "quant-ph/0211083",
    "authors": [
      "E. G. Beltrametti",
      "S. Bugajski"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Correlations and entanglement in probability theory",
    "url": "https://arxiv.org/abs/quant-ph/0211083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "83b2dd95-37ab-4adf-bbe2-742d584e3040",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}