{
  "annotation_id": "726cff38-09e7-4287-bfbf-576ead9f4763",
  "date_created": "2026-03-02T18:01:52.365000Z",
  "date_modified": "2026-03-02T18:01:52.365000Z",
  "file_hash": "4e2b1173ec57606621e5988ef96c9fef60c78ab77b5560da8ef103a02f41b715",
  "private": false,
  "record": {
    "abstract": "We develop a systematic approach to quantum probability as a theory of\nrational betting in quantum gambles. In these games of chance the agent is\nbetting in advance on the outcomes of several (finitely many) incompatible\nmeasurements. One of the measurements is subsequently chosen and performed and\nthe money placed on the other measurements is returned to the agent. We show\nhow the rules of rational betting imply all the interesting features of quantum\nprobability, even in such finite gambles. These include the uncertainty\nprinciple and the violation of Bell\u0027s inequality among others. Quantum gambles\nare closely related to quantum logic and provide a new semantics to it. We\nconclude with a philosophical discussion on the interpretation of quantum\nmechanics.",
    "arxiv_id": "quant-ph/0208121",
    "authors": [
      "I. Pitowsky"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum   Probability",
    "url": "https://arxiv.org/abs/quant-ph/0208121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5c742831-7d9b-4f53-9a17-10acf0c81efb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}