{
  "annotation_id": "c5280221-39a2-4053-aa1e-cf42e35600a6",
  "date_created": "2026-03-02T18:02:10.396000Z",
  "date_modified": "2026-03-02T18:02:10.396000Z",
  "file_hash": "35b7309fcf66b6a1379ba9ada60fd009a8731f320b240716cdaf92d1b5e38b3e",
  "private": false,
  "record": {
    "abstract": "Master equations in the Lindblad form describe evolution of open quantum\nsystems that is completely positive and simultaneously has a semigroup\nproperty. We analyze a possibility to derive this type of master equations from\nan intrinsically discrete dynamics that is modelled as a sequence of collisions\nbetween a given quantum system (a qubit) with particles that form the\nenvironment. In order to illustrate our approach we analyze in detail how a\nprocess of an exponential decay and a process of decoherence can be derived\nfrom a collision-like model in which particular collisions are described by\nSWAP and controlled-NOT interactions, respectively.",
    "arxiv_id": "quant-ph/0410161",
    "authors": [
      "Mario Ziman",
      "Peter Stelmachovic",
      "Vladimir Buzek"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Open systems and information dynamics 12, No.1, pp. 81-91 (2005)",
    "title": "Description of quantum dynamics of open systems based on collision-like   models",
    "url": "https://arxiv.org/abs/quant-ph/0410161"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9c07fdf-5543-4d32-9f64-dcc6a2b5838f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}