{
  "annotation_id": "06539f97-72af-4ba2-9084-1fefff279e66",
  "date_created": "2026-03-02T18:02:30.343000Z",
  "date_modified": "2026-03-02T18:02:30.343000Z",
  "file_hash": "f53aa947afe3dee4567153ff93438ce64db78963cbb31b18db6f608218cb3685",
  "private": false,
  "record": {
    "abstract": "We show that the theory of operator quantum error correction can be naturally\ngeneralized by allowing constraints not only on states but also on observables.\nThe resulting theory describes the correction of algebras of observables (and\nmay therefore suitably be called ``operator algebra quantum error\ncorrection\u0027\u0027). In particular, the approach provides a framework for the\ncorrection of hybrid quantum-classical information and it does not require the\nstate to be entirely in one of the corresponding subspaces or subsystems. We\ndiscuss applications to quantum teleportation and to the study of information\nflows in quantum interactions.",
    "arxiv_id": "quant-ph/0608071",
    "authors": [
      "Cedric Beny",
      "Achim Kempf",
      "David W. Kribs"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.98.100502",
    "journal_ref": "Phys. Rev. Lett., 98, 100502 (2007)",
    "title": "Generalization of Quantum Error Correction via the Heisenberg Picture",
    "url": "https://arxiv.org/abs/quant-ph/0608071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd6eee0a-ba86-4930-906a-1b2d858b779f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}