{
  "annotation_id": "fbd6b3b7-399d-4e0c-93c6-c2df35d62893",
  "date_created": "2026-03-02T18:02:24.132000Z",
  "date_modified": "2026-03-02T18:02:24.132000Z",
  "file_hash": "e004953434fe2d94c6d18115e20a5aa36bab77a3c850e9af36355968ebf274cc",
  "private": false,
  "record": {
    "abstract": "The Lieb-Robinson bound states that local Hamiltonian evolution in\nnonrelativistic quantum mechanical theories gives rise to the notion of an\neffective light-cone with exponentially decaying tails. We discuss several\nconsequences of this result in the context of quantum information theory.\nFirst, we show that the information that leaks out to space-like separated\nregions is negligable, and that there is a finite speed at which correlations\nand entanglement can be distributed. Second, we discuss how these ideas can be\nused to prove lower bounds on the time it takes to convert states without\ntopological quantum order to states with that property. Finally, we show that\nthe rate at which entropy can be created in a block of spins scales like the\nboundary of that block.",
    "arxiv_id": "quant-ph/0603121",
    "authors": [
      "S. Bravyi",
      "M. B. Hastings",
      "F. Verstraete"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevLett.97.050401",
    "journal_ref": "Phys. Rev. Lett. 97, 050401 (2006)",
    "title": "Lieb-Robinson bounds and the generation of correlations and topological   quantum order",
    "url": "https://arxiv.org/abs/quant-ph/0603121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1f7a8ec-11ba-4835-ae2f-92412e940d45",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}