{
  "annotation_id": "526b4e4a-2fa6-4c90-896d-063c1b6bae36",
  "date_created": "2026-03-02T18:02:38.056000Z",
  "date_modified": "2026-03-02T18:02:38.056000Z",
  "file_hash": "3bb2ddee9fb0a20cfec486cee1ae92502643ef011d367d2db95eeed759b82de2",
  "private": false,
  "record": {
    "abstract": "Error operator bases for systems of any dimension are defined and natural\ngeneralizations of the bit/sign flip error basis for qubits are given. These\nbases allow generalizing the construction of quantum codes based on eigenspaces\nof Abelian groups. As a consequence, quantum codes can be constructed from\nlinear codes over $\\ints_n$ for any $n$. The generalization of the punctured\ncode construction leads to many codes which permit transversal (i.e. fault\ntolerant) implementations of certain operations compatible with the error\nbasis.",
    "arxiv_id": "quant-ph/9608048",
    "authors": [
      "E. Knill"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Non-binary Unitary Error Bases and Quantum Codes",
    "url": "https://arxiv.org/abs/quant-ph/9608048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a390adf-34b3-4cd4-9260-df557c0767d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}