{
  "annotation_id": "1d89b4c3-fbdc-4e1a-bce2-a05b8cdb0f70",
  "date_created": "2026-03-02T18:01:45.855000Z",
  "date_modified": "2026-03-02T18:01:45.855000Z",
  "file_hash": "b50a41b746852a06d7393fcb3a87ae7d0e1d7af910782d15c277825274418b49",
  "private": false,
  "record": {
    "abstract": "It is shown how to exactly simulate many-body interactions and multi-qubit\ngates by coupling finite dimensional systems, e.g., qubits with a continuous\nvariable. Cyclic evolution in the phase space of such a variable gives rise to\na geometric phase, depending on a product of commuting operators. The latter\nallows to simulate many-body Hamiltonians and nonlinear Hamiltonians, and to\nimplement a big variety of multi-qubit quantum gates on both qubits and encoded\nqubits. An application to the quantum amplitude amplification algorithm will be\ndiscussed.",
    "arxiv_id": "quant-ph/0111017",
    "authors": [
      "Xiaoguang Wang",
      "Paolo Zanardi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.032327",
    "journal_ref": "Phys. Rev. A 65, 032327 (2002)",
    "title": "Simulation of many-body interactions by conditional geometric phases",
    "url": "https://arxiv.org/abs/quant-ph/0111017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d6331d00-25bf-4ef3-88b3-73b06e602e83",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}