{
  "abstract": "We prove that if we take a rooted product of a circulant graph with universal perfect state transfer with a path of fixed length whose end edge is weighted with a transcendental number, then there is pretty good state transfer between any pair of endpoints of these paths. As a consequence, in a path with an even number of vertices with transcendental weights on the two edges incident to the endpoints, there is pretty good state transfer.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16549",
  "author_total": 6,
  "authors": [
    {
      "name": "Addison Ballif"
    },
    {
      "name": "Mark Kempton"
    },
    {
      "name": "James B. Larsen"
    },
    {
      "name": "Kellon Sandall"
    },
    {
      "name": "Christino Tamon"
    },
    {
      "name": "Trevor Wai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0gj71x28fhqqf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16549",
  "fulltext_url": null,
  "id": "0gj71x28fhqqf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16549",
  "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",
      "math.CO"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7213424055",
  "pdf_url": "https://arxiv.org/pdf/2609.16549",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0gj71x28fhqqf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16549",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16549"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Pretty good quantum state transfer via transcendental edge weights",
  "title_text": "Pretty good quantum state transfer via transcendental edge weights",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/0gj71x28fhqqf",
  "venue": "arXiv",
  "versions": []
}