{
  "abstract": "We formulate a deterministic algorithm for preparing arbitrary multi-qudit states in a definite-weight subspace. By ordering the corresponding computational basis states according to a Gray code for multiset permutations, the state-preparation task is reduced to performing a sequence of controlled 2-qudit Gray rotations. We use this algorithm to prepare exact eigenstates of the SU(3)-invariant Heisenberg Hamiltonian, whose Bethe ansatz is nested. In particular, we describe the preparation of the Bethe states, which are SU(3) highest-weight states, as well as their lower-weight descendants. We also consider the preparation of SU(d) Dicke states and their q-deformations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Phys. A: Math. Theor. 59, 415302 (2026)",
  "arxiv": "2606.24659",
  "author_total": 2,
  "authors": [
    {
      "name": "Nabi Zare Harofteh"
    },
    {
      "name": "Rafael I. Nepomechie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7rfkd9d1svja5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.24659",
  "fulltext_url": null,
  "id": "7rfkd9d1svja5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.24659",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.24659",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7rfkd9d1svja5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2606.24659",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.24659"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Preparing multi-qudit states in a definite-weight subspace",
  "title_text": "Preparing multi-qudit states in a definite-weight subspace",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/7rfkd9d1svja5",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1751-8121/aeaf22",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}