{
  "annotation_id": "e0b44a47-3dc1-49b8-bb1d-8bd7a9262952",
  "date_created": "2026-03-02T18:02:27.669000Z",
  "date_modified": "2026-03-02T18:02:27.669000Z",
  "file_hash": "ec54e4291b994262631816f20cd63f8bc9f11ff1d4ea393e9f3c83d88159014e",
  "private": false,
  "record": {
    "abstract": "We analyze the problem of a quantum computer in a correlated environment\nprotected from decoherence by QEC using a perturbative renormalization group\napproach. The scaling equation obtained reflects the competition between the\ndimension of the computer and the scaling dimension of the correlations. For an\nirrelevant flow, the error probability is reduced to a stochastic form for long\ntime and/or large number of qubits; thus, the traditional derivation of the\nthreshold theorem holds for these error models. In this way, the ``threshold\ntheorem\u0027\u0027 of quantum computing is rephrased as a dimensional criterion.",
    "arxiv_id": "quant-ph/0607155",
    "authors": [
      "E. Novais",
      "Eduardo R. Mucciolo",
      "Harold U. Baranger"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevLett.98.040501",
    "journal_ref": "Phys. Rev. Lett. 98, 040501 (2007)",
    "title": "Resilient Quantum Computation in Correlated Environments: A Quantum   Phase Transition Perspective",
    "url": "https://arxiv.org/abs/quant-ph/0607155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00c0dbe3-c4fe-4023-84f5-2b883b864f7f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}