{
  "annotation_id": "e6a66e6d-9a6a-408a-a585-86f83159f788",
  "date_created": "2026-03-02T18:02:06.940000Z",
  "date_modified": "2026-03-02T18:02:06.940000Z",
  "file_hash": "41d1f18cf289e88a3bdd50b5f812bc3b3b50cacbeb459106d5abc165e8d26331",
  "private": false,
  "record": {
    "abstract": "We investigate the space of quantum operations, as well as the larger space\nof maps which are positive, but not completely positive. A constructive\ncriterion for decomposability is presented. A certain class of unistochastic\noperations, determined by unitary matrices of extended dimensionality, is\ndefined and analyzed. Using the concept of the dynamical matrix and the\nJamiolkowski isomorphism we explore the relation between the set of quantum\noperations (dynamics) and the set of density matrices acting on an extended\nHilbert space (kinematics). An analogous relation is established between the\nclassical maps and an extended space of the discrete probability distributions.",
    "arxiv_id": "quant-ph/0401119",
    "authors": [
      "Karol Zyczkowski",
      "Ingemar Bengtsson"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Open Syst. Inf. Dyn. 11, 3-42 (2004)",
    "title": "On duality between quantum maps and quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0401119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "70f12da5-e310-4bc8-b445-10d49e59482d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}