{
  "annotation_id": "58ceb0ca-0a8f-407b-a793-272502f79fe1",
  "date_created": "2026-03-02T18:02:03.235000Z",
  "date_modified": "2026-03-02T18:02:03.235000Z",
  "file_hash": "a29d7094d0fcd700c98875da0f630f66441ef879803d1b4973c9535a271716b3",
  "private": false,
  "record": {
    "abstract": "We examine the adiabatic dynamics of a quantum system coupled to a noisy\nclassical control field. A stochastic phase shift is shown to arise in the\noff-diagonal elements of the system\u0027s density matrix which can cause\ndecoherence. We derive the condition for onset of decoherence, and identify the\nnoise properties that drive decoherence. We show how this decoherence mechansim\ncauses: (1) a dephasing of the observable consequences of the adiabatic\ngeometric phase; and (2) the loss of computational efficiency of the Shor\nalgorithm when run on a sufficiently noisy geometric quantum computer.",
    "arxiv_id": "quant-ph/0312008",
    "authors": [
      "Frank Gaitan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Noisy Control, the Adiabatic Geometric Phase, and Destruction of the   Efficiency of Geometric Quantum Computation",
    "url": "https://arxiv.org/abs/quant-ph/0312008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47abafd2-34f2-4ab0-8d43-d3ac9a0b3fd9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}