{
  "annotation_id": "1143a060-87c5-4a11-9ae8-2a20b346d371",
  "date_created": "2026-03-02T18:01:59.920000Z",
  "date_modified": "2026-03-02T18:01:59.920000Z",
  "file_hash": "5c447609b095d9d1765b2926520ee7432ee90e74b98d8e561f80b77cee6d5bf3",
  "private": false,
  "record": {
    "abstract": "A quantum circuit is generalized to a nonunitary one whose constituents are\nnonunitary gates operated by quantum measurement. It is shown that a specific\ntype of one-qubit nonunitary gates, the controlled-NOT gate, as well as all\none-qubit unitary gates constitute a universal set of gates for the nonunitary\nquantum circuit, without the necessity of introducing ancilla qubits. A\nreversing measurement scheme is used to improve the probability of successful\nnonunitary gate operation. A quantum NAND gate and Abrams-Lloyd\u0027s nonlinear\ngate are analyzed as examples. Our nonunitary circuit can be used to reduce the\nqubit overhead needed to ensure fault-tolerant quantum computation.",
    "arxiv_id": "quant-ph/0304061",
    "authors": [
      "Hiroaki Terashima",
      "Masahito Ueda"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0219749905001456",
    "journal_ref": "Int.J.Quantum Inform. 3 (2005) 633-647",
    "title": "Nonunitary quantum circuit",
    "url": "https://arxiv.org/abs/quant-ph/0304061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c9c511f-51d7-424f-8b2a-000d8fba2b25",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}