{
  "annotation_id": "aa434fef-e2c4-4dcc-9f10-08afe23bbc00",
  "date_created": "2026-03-02T18:01:56.377000Z",
  "date_modified": "2026-03-02T18:01:56.377000Z",
  "file_hash": "ad3d00cdc70f9c70c6ebed05d12db0ea00706796d794285f669da69da416e92f",
  "private": false,
  "record": {
    "abstract": "We construct a nearest-neighbor Hamiltonian whose ground states encode the\nsolutions to the NP-complete problem INDEPENDENT SET in cubic planar graphs.\nThe Hamiltonian can be easily simulated by Ising interactions between adjacent\nparticles on a 2D rectangular lattice. We describe the required pulse\nsequences. Our methods could help to implement adiabatic quantum computing by\nphysically reasonable Hamiltonians like short-range interactions.",
    "arxiv_id": "quant-ph/0302027",
    "authors": [
      "Pawel Wocjan",
      "Dominik Janzing",
      "Thomas Beth"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Treating the Independent Set Problem by 2D Ising Interactions with   Adiabatic Quantum Computing",
    "url": "https://arxiv.org/abs/quant-ph/0302027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65a17335-d738-470b-b0d5-f5cebc23b82b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}