{
  "annotation_id": "3cf193e1-b04e-49e2-b223-bdef0e99fd5c",
  "date_created": "2026-03-02T18:02:13.563000Z",
  "date_modified": "2026-03-02T18:02:13.563000Z",
  "file_hash": "f2dd7ea3e8c7c9714ef21f30cacac568acc0d6f3f9f775661375292abaad5929",
  "private": false,
  "record": {
    "abstract": "We report on the implementation of Burgers equation as a type-II quantum\ncomputation on an NMR quantum information processor. Since the flow field\nevolving under the Burgers equation develops sharp features over time, this is\na better test of liquid state NMR implementations of type-II quantum computers\nthan the previous examples using the diffusion equation. In particular, we show\nthat Fourier approximations used in the encoding step are not the dominant\nerror. Small systematic errors in the collision operator accumulate and swamp\nall other errors. We propose, and demonstrate, that the accumulation of this\nerror can be avoided to a large extent by replacing the single collision\noperator with a set of operators with random errors and similar fidelities.\nExperiments have been implemented on 16 two-qubit sites for eight successive\ntime steps for the Burgers equation.",
    "arxiv_id": "quant-ph/0410198",
    "authors": [
      "Zhiying Chen",
      "Jeffrey Yepez",
      "David G. Cory"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Simulation of the Burgers equation by NMR quantum information processing",
    "url": "https://arxiv.org/abs/quant-ph/0410198"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d47d79bf-8331-44ee-bcae-a31858c57da2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}