{
  "annotation_id": "3293dba3-a610-47d5-b3bd-6ef3a564a684",
  "date_created": "2026-03-02T18:01:37.945000Z",
  "date_modified": "2026-03-02T18:01:37.945000Z",
  "file_hash": "d6a2b895136c3daddcef2c5c7cd2a5cf3ec4f59ac490c6f62b9019ffd2f8eb97",
  "private": false,
  "record": {
    "abstract": "Unitary group branchings appropriate to the calculation of local invariants\nof density matrices of composite quantum systems are formulated using the\nmethod of $S$-function plethysms. From this, the generating function for the\nnumber of invariants at each degree in the density matrix can be computed. For\nthe case of two two-level systems the generating function is $F(q) = 1 + q +\n4q^{2} + 6 q^{3} + 16 q^{4} + 23 q^{5} + 52 q^{6} + 77 q^{7} + 150 q^{8} + 224\nq^{9} + 396 q^{10} + 583 q^{11}+ O(q^{12})$. Factorisation of such series leads\nin principle to the identification of an integrity basis of algebraically\nindependent invariants. This note replaces Appendix B of our paper\\cite{us} J\nPhys {\\bf A33} (2000) 1895-1914 (\\texttt{quant-ph/0001076}) which is incorrect.",
    "arxiv_id": "quant-ph/0002090",
    "authors": [
      "RIA Davis",
      "R Delbourgo",
      "PD Jarvis"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/19/408",
    "title": "Integrity bases for local invariants of composite quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0002090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "38bba89c-928a-4241-ae7a-f7e0d8ef54f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}