More on the optimal arrangement of $2d$ lines in $\mathbb{C}^d$
Metric Geometry
2024-10-24 v1 Combinatorics
Functional Analysis
Abstract
We introduce a new infinite family of equiangular tight frames. Many matrices in this family consist of two circulant blocks. We conjecture that such equiangular tight frames exist for every . We show that our conjecture holds for by a computer-assisted application of a Newton-Kantorovich theorem. In addition, we supply numerical constructions that corroborate our conjecture for .
Keywords
Cite
@article{arxiv.2410.17379,
title = {More on the optimal arrangement of $2d$ lines in $\mathbb{C}^d$},
author = {Joseph W. Iverson and John Jasper and Dustin G. Mixon},
journal= {arXiv preprint arXiv:2410.17379},
year = {2024}
}