{
  "annotation_id": "81838626-5ad3-4254-a9cc-ca8a81918d9d",
  "date_created": "2026-03-02T18:02:27.556000Z",
  "date_modified": "2026-03-02T18:02:27.556000Z",
  "file_hash": "0e9925df55ecbda484da0e2d623cc3f7d7bbba4bd27d87752475925e0aacd25f",
  "private": false,
  "record": {
    "abstract": "Topological order characterizes those phases of matter that defy a\ndescription in terms of symmetry and cannot be distinguished in terms local\norder parameters. This type of order plays a key role in the theory of the\nfractional quantum Hall effect, as well as in topological quantum information\nprocessing. Here we show that a system of n spins forming a lattice on a\nRiemann surface can undergo a second order quantum phase transition between a\nspin-polarized phase and a string-net condensed phase. This is an example of a\nphase transition between magnetic and topological order. We furthermore show\nhow to prepare the topologically ordered phase through adiabatic evolution in a\ntime that is upper bounded by O(\\sqrt{n}). This provides a physically plausible\nmethod for constructing a topological quantum memory. We discuss applications\nto topological and adiabatic quantum computing.",
    "arxiv_id": "quant-ph/0607145",
    "authors": [
      "Alioscia Hamma",
      "Daniel A. Lidar"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevLett.100.030502",
    "journal_ref": "Phys. Rev. Lett. 100, 030502 (2008)",
    "title": "Adiabatic Preparation of Topological Order",
    "url": "https://arxiv.org/abs/quant-ph/0607145"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6aef4065-1eca-4857-9ef7-819a9e893770",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}