{
  "annotation_id": "4798a018-21ba-4647-97f5-910e85e6360a",
  "date_created": "2026-03-02T18:01:38.006000Z",
  "date_modified": "2026-03-02T18:01:38.006000Z",
  "file_hash": "2d8c769497d334a39c359c9069e412dfe7f7a44f36aef55016c71149c3ec9347",
  "private": false,
  "record": {
    "abstract": "The mathematical problem of localizing modular functors to neighborhoods of\npoints is shown to be closely related to the physical problem of engineering a\nlocal Hamiltonian for a computationally universal quantum medium. For genus\n$=0$ surfaces, such a local Hamiltonian is mathematically defined. Braiding\ndefects of this medium implements a representation associated to the Jones\npolynomial and this representation is known to be universal for quantum\ncomputation.",
    "arxiv_id": "quant-ph/0003128",
    "authors": [
      "Michael H. Freedman"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Computation and the localization of Modular Functors",
    "url": "https://arxiv.org/abs/quant-ph/0003128"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1060a7c-66a2-43ee-a11c-7e6df7fbd75b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}