{
  "annotation_id": "b2418c82-59f9-4026-8433-78878403410b",
  "date_created": "2026-03-02T18:02:40.509000Z",
  "date_modified": "2026-03-02T18:02:40.509000Z",
  "file_hash": "691c0081b314592038ea60612815c57dfcdf8c63137bb26ae6f2e90d5ae07b35",
  "private": false,
  "record": {
    "abstract": "We construct generally applicable short-time perturbative expansions for some\nfidelities, such as the input-output fidelity, the entanglement fidelity, and\nthe average fidelity. Successive terms of these expansions yield characteristic\ntimes for the damping of the fidelities involving successive powers of the\nHamiltonian. The second-order results, which represent the damping rates of the\nfidelities, are extensively discussed. As an interesting application of these\nexpansions, we use them to study the spatially-correlated dissipation of\nquantum bits. Spatial correlations in the dissipation are described by a\ncorrelation function. Explicit conditions are derived for independent\ndecoherence and for collective decoherence.",
    "arxiv_id": "quant-ph/9706020",
    "authors": [
      "Lu-Ming Duan",
      "Guang-Can Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.56.4466",
    "journal_ref": "Phys. Rev. A 56 (6), 4466 (1997)",
    "title": "Perturbative expansions for the fidelities and spatially correlated   dissipation of quantum bits",
    "url": "https://arxiv.org/abs/quant-ph/9706020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8898bbd-e78d-4610-8e6a-9871151f6ce4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}