{
  "annotation_id": "be5ff440-9691-4ef3-9f3a-416fce028bdd",
  "date_created": "2026-03-02T18:01:52.426000Z",
  "date_modified": "2026-03-02T18:01:52.426000Z",
  "file_hash": "940834bbf349faf5a9757648e9e5dda3fd5eb9e7ae4696c68c4e23d219e9339c",
  "private": false,
  "record": {
    "abstract": "The basic principles and results of Conservative Logic introduced by Fredkin\nand Toffoli on the basis of a seminal paper of Landauer are extended to\nd-valued logics, with a special attention to three-valued logics. Different\napproaches to d-valued logics are examined in order to determine some possible\nuniversal sets of logic primitives. In particular, we consider the typical\nconnectives of Lukasiewicz and Godel logics, as well as Chang\u0027s MV-algebras. As\na result, some possible three-valued and d-valued universal gates are described\nwhich realize a functionally complete set of fundamental connectives.",
    "arxiv_id": "quant-ph/0205139",
    "authors": [
      "Gianpiero Cattaneo",
      "Alberto Leporati",
      "Roberto Leporini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/46/304",
    "title": "Fredkin Gates for Finite-valued Reversible and Conservative Logics",
    "url": "https://arxiv.org/abs/quant-ph/0205139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f40853cc-432c-4ba7-81b8-70607d0b40e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}