Pretty good quantum state transfer via transcendental edge weights

@misc{ballif2026pretty,
  title = {{Pretty good quantum state transfer via transcendental edge weights}},
  author = {Addison Ballif and Mark Kempton and James B. Larsen and Kellon Sandall and Christino Tamon and Trevor Wai},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16549},
  eprint = {2609.16549},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16549},
}

TY  - UNPB
TI  - Pretty good quantum state transfer via transcendental edge weights
AU  - Addison Ballif
AU  - Mark Kempton
AU  - James B. Larsen
AU  - Kellon Sandall
AU  - Christino Tamon
AU  - Trevor Wai
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16549
UR  - https://arxiv.org/abs/2609.16549
AB  - 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.
ER  -