{
  "annotation_id": "43d633c4-b8eb-4d34-bc3d-f05371d1db78",
  "date_created": "2026-03-02T18:02:12.710000Z",
  "date_modified": "2026-03-02T18:02:12.710000Z",
  "file_hash": "1c16a20458c48d9708076578c9330194b960637081e0b896743d8eb67c456692",
  "private": false,
  "record": {
    "abstract": "In this paper we consider an alternative formulation of a class of stochastic\nwave and master equations with scalar noise that are used in quantum optics for\nmodelling open systems and continuously monitored systems. The reformulation is\nobtained by applying J.M.C. Clark\u0027s pathwise reformulation technique from the\ntheory of classical nonlinear filtering. The pathwise versions of the\nstochastic wave and master equations are defined for all driving paths and\ndepend continuously on them. In the case of white noise equations, we derive\nanalogs of Clark\u0027s robust approximations. The results in this paper may be\nuseful for implementing filters for the continuous monitoring and measurement\nfeedback control of quantum systems, and for developing new types of numerical\nmethods for unravelling master equations. The main ideas are illustrated by an\nexample.",
    "arxiv_id": "quant-ph/0412114",
    "authors": [
      "I. Kurniawan",
      "M. R. James"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/7/9/010",
    "journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 7 (2005) 293--299",
    "title": "Pathwise Solution of a Class of Stochastic Master Equations",
    "url": "https://arxiv.org/abs/quant-ph/0412114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd0f06c8-49af-48c9-ac04-234b549357d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}