{
  "annotation_id": "2dffee4d-8edb-44b4-a242-a6eaacad9b1d",
  "date_created": "2026-03-02T18:02:12.634000Z",
  "date_modified": "2026-03-02T18:02:12.634000Z",
  "file_hash": "c6dc328da2a8c13ee57222dc4738fa7f4d3f1357751e4bc873d17b852e599f0d",
  "private": false,
  "record": {
    "abstract": "The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It\nis well known that quantum dynamical semigroups that preserve the identity\noperator (which we refer to as unital) are strictly purity-decreasing\ntransformations. Here we provide an almost complete characterization of the\nclass of strictly purity-decreasing quantum dynamical semigroups. We show that\nin the case of finite-dimensional Hilbert spaces a dynamical semigroup is\nstrictly purity-decreasing if and only if it is unital, while in the infinite\ndimensional case, unitality is only sufficient.",
    "arxiv_id": "quant-ph/0411119",
    "authors": [
      "D. A. Lidar",
      "A. Shabani",
      "R. Alicki"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "doi": "10.1016/j.chemphys.2005.06.038",
    "journal_ref": "Chem. Phys. 322, 82-86 (2006)",
    "title": "Conditions for strictly purity-decreasing quantum Markovian dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0411119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8ec3296-c49f-4bc2-b758-3b14b3a2ddf2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}