Equi-isoclinic subspaces from symmetry

Authors

Matthew Fickus, Air Force Institute of Technology
Joseph W. Iverson, Iowa State University
John Jasper, Air Force Institute of Technology
Dustin G. Mixon, The Ohio State University

Document Type

Article

Publication Date

6-27-2024

Abstract

We describe a flexible technique that constructs tight fusion frames with prescribed transitive symmetry. Applying this technique with representations of the symmetric and alternating groups, we obtain several new infinite families of equi-isoclinic tight fusion frames, each with the remarkable property that its automorphism group is either S_n or A_n. These ensembles are optimal packings for Grassmannian space equipped with spectral distance, and as such, they find applications in block compressed sensing.

Comments

The "Link to Full Text" on this page opens the preprint version of this work as hosted at the arXiv.org e-print repository.

DOI

10.48550/arXiv.2406.19542

Source Publication

arXiv e-print repository,math.CO (Combinatorics) collection

Recommended Citation

Fickus, M., Iverson, J. W., Jasper, J., & Mixon, D. G. (2024). Equi-isoclinic subspaces from symmetry (Math.CO No. arXiv:2406.19542). arXiv. https://doi.org/10.48550/arXiv.2406.19542

arXiv:2406.19542 [math.CO]