{
  "annotation_id": "154dc887-8604-4400-8ef9-9376ea94f4a0",
  "date_created": "2026-03-02T18:02:44.653000Z",
  "date_modified": "2026-03-02T18:02:44.653000Z",
  "file_hash": "84bf92b91601d99cd6a72b7fff6daf33900a9de76f39db78dcf9f006d7773d0e",
  "private": false,
  "record": {
    "abstract": "In this thesis we consider primarily the dynamics of quantum systems\nsubjected to continuous observation. In the Schr\\\"{o}dinger picture the\nevolution of a continuously monitored quantum system, referred to as a `quantum\ntrajectory\u0027, may be described by a stochastic equation for the state vector. We\npresent a method of deriving explicit evolution operators for linear quantum\ntrajectories, and apply this to a number of physical examples of varying\nmathematical complexity.\n  In the Heisenberg picture evolution resulting from continuous observation may\nbe described by quantum Langevin equations. We use this method to examine the\nnoise spectrum that results from a continuous observation of the position of a\nmoving mirror, and examine the possibility of detecting the noise resulting\nfrom the quantum back-action of the measurement.\n  In addition to the work on continuous measurement theory, we also consider\nthe problem of reconstructing the state of a quantum system from a set of\nmeasurements. We present a scheme for determining the state of a single cavity\nmode from the photon statistics measured both before and after an interaction\nwith one or two two-level atoms.",
    "arxiv_id": "quant-ph/9810015",
    "authors": [
      "K. Jacobs"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Topics in Quantum Measurement and Quantum Noise",
    "url": "https://arxiv.org/abs/quant-ph/9810015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b374930a-d78b-4652-9daa-2b656fc85e22",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}