{
  "annotation_id": "7aa3d66f-5f8e-4b64-a2fe-d55d33012628",
  "date_created": "2026-03-02T18:01:46.070000Z",
  "date_modified": "2026-03-02T18:01:46.070000Z",
  "file_hash": "bedbce1f78e95723d417b2526de6f90633f8641348e09f4cea9ea15b606dbdf6",
  "private": false,
  "record": {
    "abstract": "The stabilizer code is the most general algebraic construction of quantum\nerror-correcting codes proposed so far. A stabilizer code can be constructed\nfrom a self-orthogonal subspace of a symplectic space over a finite field. We\npropose a construction method of such a self-orthogonal space using an\nalgebraic curve. By using the proposed method we construct an asymptotically\ngood sequence of binary stabilizer codes. As a byproduct we improve the\nAshikhmin-Litsyn-Tsfasman bound of quantum codes. The main results in this\npaper can be understood without knowledge of quantum mechanics.",
    "arxiv_id": "quant-ph/0107129",
    "authors": [
      "Ryutaroh Matsumoto"
    ],
    "categories": [
      "quant-ph",
      "cs.IT",
      "math.AG",
      "math.IT",
      "math.SG"
    ],
    "doi": "10.1109/TIT.2002.1013156",
    "title": "Algebraic geometric construction of a quantum stabilizer code",
    "url": "https://arxiv.org/abs/quant-ph/0107129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a3c9579b-5770-4669-9418-afb13bbad7c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}