{
  "annotation_id": "95eedf40-9757-49a8-a2c1-97c5078e4442",
  "date_created": "2026-03-02T18:02:15.965000Z",
  "date_modified": "2026-03-02T18:02:15.965000Z",
  "file_hash": "5d37e84b6d86cc93b40e7900fd5e620f205be8536331be51c570a366300d65b4",
  "private": false,
  "record": {
    "abstract": "We show that the stochastic Schrodinger equation for the filtered state of a\nsystem, with linear free dynamics, undergoing continual non-demolition\nmeasurement or either position or momentum, or both together, can be solved\nexplicitly within a class of Gaussian states which we call extended coherent\nstates. The asymptotic limit yields a class of relaxed states which we describe\nexplicitly. Bellman\u0027s principle is then applied directly to optimal feedback\ncontrol of such dynamical systems and the Hamilton Jacobi Bellman equation for\nthe minimum cost is derived. The situation of quadratic performance criteria is\ntreated as the important special case and solved exactly for the class of\nrelaxed states.",
    "arxiv_id": "quant-ph/0504099",
    "authors": [
      "John Gough"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Stochastics and Information: Statistics, Filtering \u0026\n  Control, pp. 262-279 Eds. M. Guta and V.P. Belavkin, World Scientific 2008",
    "title": "Optimal Quantum Feedback Control for Canonical Observables",
    "url": "https://arxiv.org/abs/quant-ph/0504099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "94a17c50-174e-4d7e-8e91-738f9e7e1ee1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}