English

Nearly tight weighted 2-designs in complex projective spaces of every dimension

Functional Analysis 2025-01-28 v1 Combinatorics

Abstract

We use dense Sidon sets to construct small weighted projective 2-designs. This represents quantitative progress on Zauner's conjecture.

Keywords

Cite

@article{arxiv.2501.14938,
  title  = {Nearly tight weighted 2-designs in complex projective spaces of every dimension},
  author = {John Jasper and Dustin G. Mixon},
  journal= {arXiv preprint arXiv:2501.14938},
  year   = {2025}
}