Every equi-isoclinic tight fusion frame (EITFF) is a type of optimal code in a Grassmannian,
consisting of subspaces of a finite-dimensional Hilbert space for which the smallest principal …

We describe a flexible technique that constructs tight fusion frames with prescribed transitive
symmetry. Applying this technique with representations of the symmetric and alternating …

We introduce the study of frames and equiangular lines in classical geometries over finite
fields. After developing the basic theory, we give several examples and demonstrate finite …

An equiangular tight frame (ETF) is a sequence of vectors in a Hilbert space that achieves
equality in the Welch bound and so has minimal coherence. More generally, an equichordal …

We study tight projective 2‐designs in three different settings. In the complex setting,
Zauner's conjecture predicts the existence of a tight projective 2‐design in every dimension …

For an unknown finite group $ G $ of automorphisms of a finite-dimensional Hilbert space,
we find sharp bounds on the number of generic $ G $-orbits needed to recover $ G $ up to …

We study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. This paper classifies those lines that exhibit almost …

A certain signed adjacency matrix of the hypercube, which Hao Huang used last year to
resolve the Sensitivity Conjecture, is closely related to the unique, 4-cycle free, 2-fold cover …

An equiangular tight frame (ETF) is a finite sequence of equal norm vectors in a Hilbert
space of lesser dimension that achieves equality in the Welch bound and so has minimal …

Let $\mathbb {K} $ be a non-Archimedean (complete) valued field satisfying\begin
{align*}\left|\sum_ {j= 1}^{n}\lambda_j^ 2\right|=\max_ {1\leq j\leq n}|\lambda_j …