{
  "abstract": "The computational universality with an elementary gate set $$\\{H,CCZ\\}$$ can be transformed to the strict universality by using a maximally imaginary state $$\\vert {+i} \\rangle $$ and some non-imaginary ancillary qubits. From the viewpoint of operational resource theory, it would be intriguing to elucidate a resource for the universality transformation. In this paper, we consider the exact universality transformation in which arbitrary real orthogonal matrices can be applied and a supplied resource state is used to simulate unitary operations exactly and deterministically. Within this operational model, we explore a necessary and sufficient condition for resource states to realize the universality transformation under free real operations. We show that $$\\vert {+i} \\rangle $$ is a unique resource state up to the free operations. Moreover, we obtain a stronger conclusion. If a given resource state cannot be used for the universality transformation, then realizable quantum gates are restricted to unitary matrices proportional to real orthogonal matrices. Therefore, we can tell that $$\\vert {+i} \\rangle $$ is unique (up to the free operations) not only as a state whose resource measure of imaginarity is maximal, but also as a state which empowers real operations with the ability to apply at least one non-real quantum gate (regardless of the magnitudes of its imaginary parts).",
  "abstract_shown": true,
  "affiliations": [
    "NTT Communication Science Laboratories, NTT, Inc.",
    "Information Technology R&D Center, Mitsubishi Electric Corporation"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Yasuaki Nakayama"
    },
    {
      "affs": [
        1
      ],
      "name": "Yuki Takeuchi"
    },
    {
      "affs": [
        0
      ],
      "name": "Seiseki Akibue"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fycfgpbdwjqjp.bib",
  "cited_by": 0,
  "doi": "10.1038/s41598-026-70782-1",
  "fulltext_url": "https://doi.org/10.1038/s41598-026-70782-1",
  "id": "fycfgpbdwjqjp",
  "issns": [
    "2045-2322"
  ],
  "landing_url": "https://doi.org/10.1038/s41598-026-70782-1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "Q"
    ],
    [
      "lcc",
      "R"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7135217396",
  "pdf_url": "https://www.nature.com/articles/s41598-026-70782-1_reference.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": "Nature Portfolio",
  "ris": "https://research.draconitic.com/paper/fycfgpbdwjqjp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:45:52Z",
      "native_id": "23fd6986572a44dfab8105f6f9e55861",
      "source": "doaj",
      "url": "https://doi.org/10.1038/s41598-026-70782-1"
    }
  ],
  "subjects": [
    {
      "field": "medicine",
      "origin": "lcc:R",
      "subfield": "general"
    }
  ],
  "title": "Uniqueness of imaginarity-assisted exact transformation from real orthogonal operations to arbitrary unitary operations",
  "title_text": "Uniqueness of imaginarity-assisted exact transformation from real orthogonal operations to arbitrary unitary operations",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:45:52Z",
  "url": "https://research.draconitic.com/paper/fycfgpbdwjqjp",
  "venue": "Scientific Reports",
  "versions": []
}