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 study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. In doing so, we make fundamental connections with …

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 introduce a new infinite family of $ d\times 2d $ equiangular tight frames. Many matrices
in this family consist of two $ d\times d $ circulant blocks. We conjecture that such …

ON 2-TRANSITIVE SETS OF EQUIANGULAR LINES Page 1 Bull. Aust. Math. Soc. 107 (2023),
134–145 doi:10.1017/S0004972722000661 ON 2-TRANSITIVE SETS OF EQUIANGULAR …

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 …

An equiangular tight frame (ETF) yields an optimal way to pack a given number of lines into
a given space of lesser dimension. Every ETF has minimal coherence, and this makes it …

Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop
theory and algorithms to address this fundamental question. We focus on isomorphisms in …