{
  "annotation_id": "ae8a139b-6a78-4e81-95c5-c0d1b79503e4",
  "date_created": "2026-03-02T18:02:27.673000Z",
  "date_modified": "2026-03-02T18:02:27.673000Z",
  "file_hash": "6d4aca88724cc63c224b31f96cca463f0bf006e991996f58256ead60648f8eca",
  "private": false,
  "record": {
    "abstract": "We investigate the power of quantum systems for the simulation of Hamiltonian\ntime evolutions on a cubic lattice under the constraint of translational\ninvariance. Given a set of translationally invariant local Hamiltonians and\nshort range interactions we determine time evolutions which can and those that\ncan not be simulated. Whereas for general spin systems no finite universal set\nof generating interactions is shown to exist, universality turns out to be\ngeneric for quadratic bosonic and fermionic nearest-neighbor interactions when\nsupplemented by all translationally invariant on-site Hamiltonians.",
    "arxiv_id": "quant-ph/0607094",
    "authors": [
      "Christina V. Kraus",
      "Michael M. Wolf",
      "J. Ignacio Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.022303",
    "journal_ref": "Phys. Rev. A 75, 022303 (2007)",
    "title": "Quantum simulations under translational symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0607094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a276503-c2fb-49f1-b962-9244f645c732",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}