{
  "annotation_id": "869a6083-fd10-4888-9efc-073e3ac0b1ed",
  "date_created": "2026-03-02T18:01:35.866000Z",
  "date_modified": "2026-03-02T18:01:35.866000Z",
  "file_hash": "7bad3a993d8fefa5db77e02cf6bf6c07ba7112e3bfed77fcccb6850b118bd76d",
  "private": false,
  "record": {
    "abstract": "Quantum computers will work by evolving a high tensor power of a small (e.g.\ntwo) dimensional Hilbert space by local gates, which can be implemented by\napplying a local Hamiltonian H for a time t. In contrast to this quantum\nengineering, the most abstract reaches of theoretical physics has spawned\ntopological models having a finite dimensional internal state space with no\nnatural tensor product structure and in which the evolution of the state is\ndiscrete, H = 0. These are called topological quantum filed theories (TQFTs).\nThese exotic physical systems are proved to be efficiently simulated on a\nquantum computer. The conclusion is two-fold: 1. TQFTs cannot be used to define\na model of computation stronger than the usual quantum model BQP. 2. TQFTs\nprovide a radically different way of looking at quantum computation. The rich\nmathematical structure of TQFTs might suggest a new quantum algorithm.",
    "arxiv_id": "quant-ph/0001071",
    "authors": [
      "Michael H. Freedman",
      "Alexei Kitaev",
      "Zhenghan Wang"
    ],
    "categories": [
      "quant-ph",
      "math.GT"
    ],
    "doi": "10.1007/s002200200635",
    "journal_ref": "Commun.Math.Phys. 227 (2002) 587-603",
    "title": "Simulation of topological field theories by quantum computers",
    "url": "https://arxiv.org/abs/quant-ph/0001071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9df7ac7-5ef2-4bd7-80bf-c85f0c0a71b7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}