{
  "annotation_id": "3f930b72-82f8-4eee-b93c-b66fae1a1de3",
  "date_created": "2026-03-02T18:02:30.495000Z",
  "date_modified": "2026-03-02T18:02:30.495000Z",
  "file_hash": "0c433238b5700069a44f685a3e17598735a6b26b15ac88977bb1cd0bfafeafc5",
  "private": false,
  "record": {
    "abstract": "The essential insight of quantum error correction was that quantum\ninformation can be protected by suitably encoding this quantum information\nacross multiple independently erred quantum systems. Recently it was realized\nthat, since the most general method for encoding quantum information is to\nencode it into a subsystem, there exists a novel form of quantum error\ncorrection beyond the traditional quantum error correcting subspace codes.\nThese new quantum error correcting subsystem codes differ from subspace codes\nin that their quantum correcting routines can be considerably simpler than\nrelated subspace codes. Here we present a class of quantum error correcting\nsubsystem codes constructed from two classical linear codes. These codes are\nthe subsystem versions of the quantum error correcting subspace codes which are\ngeneralizations of Shor\u0027s original quantum error correcting subspace codes. For\nevery Shor-type code, the codes we present give a considerable savings in the\nnumber of stabilizer measurements needed in their error recovery routines.",
    "arxiv_id": "quant-ph/0610088",
    "authors": [
      "Dave Bacon",
      "Andrea Casaccino"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Error Correcting Subsystem Codes From Two Classical Linear Codes",
    "url": "https://arxiv.org/abs/quant-ph/0610088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "663aeda6-0c88-4249-b77b-8efc3d689917",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}