{
  "annotation_id": "ce307974-b233-472c-97bb-ae2396773d1a",
  "date_created": "2026-03-02T18:02:27.106000Z",
  "date_modified": "2026-03-02T18:02:27.106000Z",
  "file_hash": "7b51b215a0bfca6ddcc7821021b123224d3060e26cdf25368f146c11bce03d67",
  "private": false,
  "record": {
    "abstract": "The complexity of the error correction circuitry forces us to design quantum\nerror correction codes capable of correcting a single error per error\ncorrection cycle. Yet, time-correlated error are common for physical\nimplementations of quantum systems; an error corrected during the previous\ncycle may reoccur later due to physical processes specific for each physical\nimplementation of the qubits. In this paper we study quantum error correction\nfor a restricted class of time-correlated errors in a spin-boson model. The\nalgorithm we propose allows the correction of two errors per error correction\ncycle, provided that one of them is time-correlated. The algorithm can be\napplied to any stabilizer code when the two logical qubits $\\mid 0_L\u003e$ and\n$\\mid 1_L\u003e$ are entangled states of $2^{n}$ basis states in\n$\\mathcal{H}_{2^n}$.",
    "arxiv_id": "quant-ph/0605226",
    "authors": [
      "Feng Lu",
      "Dan C. Marinescu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Error Correction of Time-Correlated Errors",
    "url": "https://arxiv.org/abs/quant-ph/0605226"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb85a2df-f196-4a87-b040-9288345260ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}