{
  "annotation_id": "b55b50b5-d148-4d99-bf1f-8272315e18df",
  "date_created": "2026-03-02T18:02:37.978000Z",
  "date_modified": "2026-03-02T18:02:37.978000Z",
  "file_hash": "837a2fe206037dc5817871785077304eddea0735aaea62fbab70405d4705a480",
  "private": false,
  "record": {
    "abstract": "Errors in quantum computers are of two kinds: sudden perturbations to\nisolated qubits, and slow random drifts of all the qubits. The latter may be\nreduced, but not eliminated, by means of symmetrization, namely by using many\nreplicas of the computer, and forcing their joint quantum state to be\ncompletely symmetric. On the other hand, isolated errors can be corrected by\nquantum codewords that represent a logical qubit in a redundant way, by several\nphysical qubits. If one of the physical qubits is perturbed, for example if it\ngets entangled with an unknown environment, there still is enough information\nencoded in the other physical qubits to restore the logical qubit, and\ndisentangle it from the environment. The recovery procedure may consist of\nunitary operations, without the need of actually identifying the error.",
    "arxiv_id": "quant-ph/9611046",
    "authors": [
      "Asher Peres"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Error correction and symmetrization in quantum computers",
    "url": "https://arxiv.org/abs/quant-ph/9611046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ad43fce-61bf-4f68-b19a-b0f40b2f7b62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}