{
  "annotation_id": "eae00665-17dc-4696-aa94-0eff4ff5765a",
  "date_created": "2026-03-02T18:02:27.469000Z",
  "date_modified": "2026-03-02T18:02:27.469000Z",
  "file_hash": "a7b59379218ecd05d1dbe79ce528d331730c9872e7febcaeb8fa4c72ece3189b",
  "private": false,
  "record": {
    "abstract": "We consider the mixed states of the bipartite quantum system with the first\nparty a qubit and the second a qutrit. The group of local unitary\ntransformations of the system, ignoring the overall phase factor, is the direct\nproduct G of SU(2) and SU(3). We compute the simply graded Poincare series of\nthe algebra of G-invariant polynomial functions on the set of mixed states of\nthe system, and construct several low degree invariants.",
    "arxiv_id": "quant-ph/0605018",
    "authors": [
      "Dragomir Z. Djokovic"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Poincare series for local unitary invariants of mixed states of the   qubit-qutrit system",
    "url": "https://arxiv.org/abs/quant-ph/0605018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05a8a903-9cdd-470c-9e16-5c53586c18ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}