{
  "annotation_id": "2549dc1f-0152-48c4-a3ca-e4756720e339",
  "date_created": "2026-03-02T18:02:24.133000Z",
  "date_modified": "2026-03-02T18:02:24.133000Z",
  "file_hash": "29a13a908291c490ce7ca9248fbcaa2684fe236a87e43019db096eeee3b89dac",
  "private": false,
  "record": {
    "abstract": "We introduce a novel notion of probability within quantum history theories\nand give a Gleasonesque proof for these assignments. This involves introducing\na tentative novel axiom of probability. We also discuss how we are to interpret\nthese generalised probabilities as partially ordered notions of preference and\nwe introduce a tentative generalised notion of Shannon entropy. A Bayesian\napproach to probability theory is adopted throughout, thus the axioms we use\nwill be minimal criteria of rationality rather than ad hoc mathematical axioms.",
    "arxiv_id": "quant-ph/0603065",
    "authors": [
      "Thomas Marlow"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2390658",
    "title": "A Bayesian Analogue of Gleason\u0027s Theorem",
    "url": "https://arxiv.org/abs/quant-ph/0603065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd78b964-f53d-4a38-9915-1ef721a02a75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}