{
  "annotation_id": "60e412df-dfe0-4faa-80cd-40ee1026501c",
  "date_created": "2026-03-02T18:01:52.291000Z",
  "date_modified": "2026-03-02T18:01:52.291000Z",
  "file_hash": "78d913c0643153dd3271124a7e7119b01c5218fc1bbc26d1cb354b9b8adc9188",
  "private": false,
  "record": {
    "abstract": "Using the Weyl commutation relations over a finite field we introduce a\nfamily of error-correcting quantum stabilizer codes based on a class of\nsymmetric matrices over the finite field satisfying certain natural conditions.\nWhen the field is GF(2) the existence of a rich class of such symmetric\nmatrices is demonstrated by a simple probabilistic argument depending on the\nChernoff bound for i.i.d symmetric Bernoulli trials. If, in addition, these\nsymmetric matrices are assumed to be circulant it is possible to obtain\nconcrete examples by a computer program. The quantum codes thus obtained admit\nelegant encoding circuits.",
    "arxiv_id": "quant-ph/0206174",
    "authors": [
      "V. Arvind",
      "K. R. Parthasarathy"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Family of Quantum Stabilizer Codes Based on the Weyl Commutation   Relations over a Finite Field",
    "url": "https://arxiv.org/abs/quant-ph/0206174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f367c5bf-8add-4490-88f4-b75c04f917e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}