{
  "annotation_id": "ec726465-efdb-4521-838f-9c8c106e90a6",
  "date_created": "2026-03-02T18:02:23.615000Z",
  "date_modified": "2026-03-02T18:02:23.615000Z",
  "file_hash": "9d59743837e77f0a1ed1bab58b7357bf1cecea7a9815afe7b21c2b393f0c26c9",
  "private": false,
  "record": {
    "abstract": "We use polarization operators known from quantum theory of angular momentum\nto expand the $N \\times N$ dimensional density operators. Thereby, we construct\ngeneralized Bloch vectors representing density matrices. We study their\nproperties and derive positivity conditions for any $N$. We also apply the\nprocedure to study Bloch vector space for a qubit and a qutrit.",
    "arxiv_id": "quant-ph/0602065",
    "authors": [
      "Stanislaw Kryszewski",
      "Mateusz Zachcial"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Alternative representation of N \\times N density matrix",
    "url": "https://arxiv.org/abs/quant-ph/0602065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d064017-e48e-4e76-a886-473af45213e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}