{
  "annotation_id": "bff745f4-6409-43ca-b29a-9b6e509bfde5",
  "date_created": "2026-03-02T18:02:10.331000Z",
  "date_modified": "2026-03-02T18:02:10.331000Z",
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  "record": {
    "abstract": "We study the algebra of complex polynomials which remain invariant under the\naction of the local Clifford group under conjugation. Within this algebra, we\nconsider the linear spaces of homogeneous polynomials degree by degree and\nconstruct bases for these vector spaces for each degree, thereby obtaining a\ngenerating set of polynomial invariants. Our approach is based on the\ndescription of Clifford operators in terms of linear operations over GF(2).\nSuch a study of polynomial invariants of the local Clifford group is mainly of\nimportance in quantum coding theory, in particular in the classification of\nbinary quantum codes. Some applications in entanglement theory and quantum\ncomputing are briefly discussed as well.",
    "arxiv_id": "quant-ph/0410035",
    "authors": [
      "Maarten Van den Nest",
      "Jeroen Dehaene",
      "Bart De Moor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.022310",
    "journal_ref": "Phys. Rev. A 71, 022310 (2005)",
    "title": "The invariants of the local Clifford group",
    "url": "https://arxiv.org/abs/quant-ph/0410035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "06e1aab8-cbc9-410e-a7f5-9658c011d8e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}