{
  "annotation_id": "114b45fb-bcb4-45ae-b939-f92bb89c0ab3",
  "date_created": "2026-03-02T18:02:02.738000Z",
  "date_modified": "2026-03-02T18:02:02.738000Z",
  "file_hash": "5e3ebaef133a2ecf2eb841861db18c0c42446c9a37511991d6827da892c968d6",
  "private": false,
  "record": {
    "abstract": "We discuss stochastic derivations, stochastic Hamiltonians and the flows that\nthey generate, algebraic fluctuaion-dissipation theorems, etc., in a language\ncommon to both classical and quantum algebras. It is convenient to define\ndistinct notions of time-ordered exponentials to take account of the breakdown\nof the Leibniz rule in the Ito calculus. We introduce a notion of quantum\nStratonovich calculus and show how it relates to Stratonovich-Dyson time\nordered exponentials. We then use it to demonstrate a natural way to add\nstochastic derivations.",
    "arxiv_id": "quant-ph/0309102",
    "authors": [
      "John Gough"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Stochastic Generators",
    "url": "https://arxiv.org/abs/quant-ph/0309102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6914438f-0199-47cd-90fb-f558a6d94291",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}