{
  "annotation_id": "2d371bc5-80f4-481e-ae70-95d7aecd6f1d",
  "date_created": "2026-03-02T18:02:23.939000Z",
  "date_modified": "2026-03-02T18:02:23.939000Z",
  "file_hash": "e7cabfa21b1028895016fa9e4680c5d0ce49911b84363d905a42806777357e6b",
  "private": false,
  "record": {
    "abstract": "We show that adiabatic evolution of a low-dimensional lattice of quantum\nspins with a spectral gap can be simulated efficiently. In particular, we show\nthat as long as the spectral gap \\Delta E between the ground state and the\nfirst excited state is any constant independent of n, the total number of\nspins, then the ground-state expectation values of local operators, such as\ncorrelation functions, can be computed using polynomial space and time\nresources. Our results also imply that the local ground-state properties of any\ntwo spin models in the same quantum phase can be efficiently obtained from each\nother. A consequence of these results is that adiabatic quantum algorithms can\nbe simulated efficiently if the spectral gap doesn\u0027t scale with n. The\nsimulation method we describe takes place in the Heisenberg picture and does\nnot make use of the finitely correlated state/matrix product state formalism.",
    "arxiv_id": "quant-ph/0601019",
    "authors": [
      "Tobias J. Osborne"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevA.75.032321",
    "journal_ref": "Phys. Rev. A 75, 032321 (2007)",
    "title": "Simulating adiabatic evolution of gapped spin systems",
    "url": "https://arxiv.org/abs/quant-ph/0601019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dbe0cfc4-bb20-484a-9040-f38e2b6b3c13",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}