{
  "annotation_id": "e95f5ae1-ebc3-4ade-97e9-c873fd5d977b",
  "date_created": "2026-03-02T18:02:20.482000Z",
  "date_modified": "2026-03-02T18:02:20.482000Z",
  "file_hash": "46e8003f4229da66382040272c674083cff1522cb13965132afcde8dca2c20f9",
  "private": false,
  "record": {
    "abstract": "This paper investigates the synthesis of quantum networks built to realize\nternary switching circuits in the absence of ancilla bits. The results we\nestablished are twofold. The first shows that ternary Swap, ternary Not and\nternary Toffoli gates are universal for the realization of arbitrary $n\\times\nn$ ternary quantum switching networks without ancilla bits. The second result\nproves that all $n\\times n$ quantum ternary networks can be generated by Not,\nControlled-Not, Multiply-Two, and Toffoli gates. Our approach is constructive.\nkey words: ternary quantum logic synthesis, quantum circuit optimization, group\ntheory.",
    "arxiv_id": "quant-ph/0509192",
    "authors": [
      "Guowu Yang",
      "Xiaoyu Song",
      "Marek Perkowski",
      "Jinzhao Wu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/44/006",
    "title": "Realizing Ternary Quantum Switching Networks without Ancilla Bits",
    "url": "https://arxiv.org/abs/quant-ph/0509192"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "064181f2-58d8-44e7-aa81-5178465185a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}