{
  "annotation_id": "65521f1c-96da-4df0-9ea0-9d99993837a6",
  "date_created": "2026-03-02T18:02:37.942000Z",
  "date_modified": "2026-03-02T18:02:37.942000Z",
  "file_hash": "ed27e4c4b38858d5a3aa2b92e466756abbf88e4f2aa3876f2994ecaeea842197",
  "private": false,
  "record": {
    "abstract": "A system of quantum reasoning for a closed system is developed by treating\nnon-relativistic quantum mechanics as a stochastic theory. The sample space\ncorresponds to a decomposition, as a sum of orthogonal projectors, of the\nidentity operator on a Hilbert space of histories. Provided a consistency\ncondition is satisfied, the corresponding Boolean algebra of histories, called\na {\\it framework}, can be assigned probabilities in the usual way, and within a\nsingle framework quantum reasoning is identical to ordinary probabilistic\nreasoning. A refinement rule, which allows a probability distribution to be\nextended from one framework to a larger (refined) framework, incorporates the\ndynamical laws of quantum theory. Two or more frameworks which are incompatible\nbecause they possess no common refinement cannot be simultaneously employed to\ndescribe a single physical system.",
    "arxiv_id": "quant-ph/9606004",
    "authors": [
      "Robert B. Griffiths"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.54.2759",
    "title": "Consistent Histories and Quantum Reasoning",
    "url": "https://arxiv.org/abs/quant-ph/9606004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "783b4c7a-6a33-4ec1-aa28-3a7f3bba3d7b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}