{
  "annotation_id": "0a0d44be-b6c0-4d9a-a9be-8eb9ca901550",
  "date_created": "2026-03-02T18:01:55.999000Z",
  "date_modified": "2026-03-02T18:01:55.999000Z",
  "file_hash": "8c2727d0cbbf42bb6bb1a3747fc998e242df6c9e06014c60688a83978e83525f",
  "private": false,
  "record": {
    "abstract": "We show that the NP complete problems MAX CUT and INDEPENDENT SET can be\nformulated as the 2-local Hamiltonian problem as defined by Kitaev. He\nintroduced the quantum complexity class BQNP as the quantum analog of NP, and\nshowed that the 5-local Hamiltonian problem is BQNP-complete. It is not known\nwhether the s-local Hamiltonian problem is BQNP-complete for s smaller than 5.\nTherefore it is interesting to determine what problems can be reduced to the\ns-local Hamiltonian problem. Kitaev showed that 3-SAT can be formulated as a\n3-local Hamiltonian problem. We extend his result by showing that 2-locality is\nsufficient in order to encompass NP.",
    "arxiv_id": "quant-ph/0301087",
    "authors": [
      "Pawel Wocjan",
      "Thomas Beth"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The 2-local Hamiltonian problem encompasses NP",
    "url": "https://arxiv.org/abs/quant-ph/0301087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16a3d7ed-487e-447f-a800-9cfe53671939",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}