{
  "annotation_id": "7064a445-728e-40e2-9542-eb7c212eb4cc",
  "date_created": "2026-03-02T18:02:24.197000Z",
  "date_modified": "2026-03-02T18:02:24.197000Z",
  "file_hash": "ff70128513311548cd947464f3b7f7880c83cc441766bc0e01a6c5ab170a5c9b",
  "private": false,
  "record": {
    "abstract": "We study families H_n of 1D quantum spin systems, where n is the number of\nspins, which have a spectral gap \\Delta E between the ground-state and\nfirst-excited state energy that scales, asymptotically, as a constant in n. We\nshow that if the ground state |\\Omega_m\u003e of the hamiltonian H_m on m spins,\nwhere m is an O(1) constant, is locally the same as the ground state\n|\\Omega_n\u003e, for arbitrarily large n, then an arbitrarily good approximation to\nthe ground state of H_n can be stored efficiently for all n. We formulate a\nconjecture that, if true, would imply our result applies to all noncritical 1D\nspin systems. We also include an appendix on quasi-adiabatic evolutions.",
    "arxiv_id": "quant-ph/0603137",
    "authors": [
      "Tobias J. Osborne"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.042306",
    "journal_ref": "Phys. Rev. A 75, 042306 (2007)",
    "title": "The ground state of a class of noncritical 1D quantum spin systems can   be approximated efficiently",
    "url": "https://arxiv.org/abs/quant-ph/0603137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b897441b-46b6-49f8-ba65-f1d786396c69",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}