Equi-isoclinic subspaces from symmetry

M Fickus, JW Iverson, J Jasper, DG Mixon - arXiv preprint arXiv …, 2024 - arxiv.org
We describe a flexible technique that constructs tight fusion frames with prescribed transitive
symmetry. Applying this technique with representations of the symmetric and alternating …

Recovering a group from few orbits

DG Mixon, B Vose - arXiv preprint arXiv:2411.17434, 2024 - arxiv.org
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 …

Optimal codes in the Stiefel manifold

J Jasper, N Mankovich, DG Mixon - arXiv preprint arXiv:2407.01813, 2024 - arxiv.org
We consider the coding problem in the Stiefel manifold with chordal distance. After
considering various low-dimensional instances of this problem, we use Rankin's bounds on …