{
  "annotation_id": "26875912-7b8e-4169-b717-21e7b388f81f",
  "date_created": "2026-03-02T18:02:37.953000Z",
  "date_modified": "2026-03-02T18:02:37.953000Z",
  "file_hash": "2185ae6cc0c148187c7cfa1bc47ca640bc71a2df4ca873b75ec5a0e65b04ea0e",
  "private": false,
  "record": {
    "abstract": "This report continues the discussion of unitary error bases and quantum codes\nbegun in \"Non-binary Unitary Error Bases and Quantum Codes\". Nice error bases\nare characterized in terms of the existence of certain characters in a group. A\ngeneral construction for error bases which are non-abelian over the center is\ngiven. The method for obtaining codes due to Calderbank et al. is generalized\nand expressed purely in representation theoretic terms. The significance of the\ninertia subgroup both for constructing codes and obtaining the set of\ntransversally implementable operations is demonstrated.",
    "arxiv_id": "quant-ph/9608049",
    "authors": [
      "E. Knill"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Group Representations, Error Bases and Quantum Codes",
    "url": "https://arxiv.org/abs/quant-ph/9608049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3cc42bf4-c8ac-49f9-9678-29b0e73b4305",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}