{
  "annotation_id": "0698c3cc-9363-44af-9f42-58e9f8f6cf2f",
  "date_created": "2026-03-02T18:01:59.130000Z",
  "date_modified": "2026-03-02T18:01:59.130000Z",
  "file_hash": "941b4645127d6409990d37dc54fdd2f4d01a90a0708aa0f0f75c041bc2c373d5",
  "private": false,
  "record": {
    "abstract": "We consider the implementation of two-qubit unitary transformations by means\nof CNOT gates and single-qubit unitary gates. We show, by means of an explicit\nquantum circuit, that together with local gates three CNOT gates are necessary\nand sufficient in order to implement an arbitrary unitary transformation of two\nqubits. We also identify the subset of two-qubit gates that can be performed\nwith only two CNOT gates.",
    "arxiv_id": "quant-ph/0307177",
    "authors": [
      "G. Vidal",
      "C. M. Dawson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.010301",
    "journal_ref": "Phys. Rev. A 69, 010301 (2004)",
    "title": "A universal quantum circuit for two-qubit transformations with three   CNOT gates",
    "url": "https://arxiv.org/abs/quant-ph/0307177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c0f7638-7655-4ed4-ba00-8dd2db4e849a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}