{
  "annotation_id": "ff1f2231-3113-4f4f-89b7-63c4d7564065",
  "date_created": "2026-03-02T18:02:20.480000Z",
  "date_modified": "2026-03-02T18:02:20.480000Z",
  "file_hash": "c7d5f2f8ce438e55abe83dd788d4b22e22f4e67b7170733e5d6936fdda6457a7",
  "private": false,
  "record": {
    "abstract": "A quantum stochastic model for an open dynamical system (quantum receiver)\nand output multi-channel of observation with an additive nonvacuum quantum\nnoise is given. A quantum stochastic Master equation for the corresponding\ninstrument is derived and quantum stochastic filtering equations both for the\nHeisenberg operators and the reduced density matrix of the system under the\nnondemolition observation are found. Thus the dynamical problem of quantum\nfiltering is generalized for a noncommutative output process, and a quantum\nstochastic model and optimal filtering equation for the dynamical estimation of\nan input Markovian process is found. The results are illustrated on an example\nof optimal estimation of an input Gaussian diffusion signal, an unknown\ngravitational force say in a quantum optical or Weber\u0027s antenna for detection\nand filtering a gravitational waves.",
    "arxiv_id": "quant-ph/0509205",
    "authors": [
      "V. P. Belavkin"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/3-540-53862-3_176",
    "journal_ref": "In: Quantum Aspects of Optical Communication. Lecture notes in\n  Physics, 45 131-145, Springer, Berlin 1991",
    "title": "Continuous Non-Demolition Observation, Quantum Filtering and Optimal   Estimation",
    "url": "https://arxiv.org/abs/quant-ph/0509205"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1dc06014-3599-4639-ab61-dff3909c340a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}