78 citations · 191 across the 26 of their papers we have counts for
44 papers
Incoherent filter banks
William J. Brinkley, Matthew Fickus, John Jasper +1
Equi-isoclinic (EI) and equichordal (EC) tight fusion frames (TFFs) are types of minimally coherent (maximally orthogonal) subspace packings that arise in several applications, suc…
The Singer-Zauner gap for equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon
We show that there does not exist a complex equiangular tight frame with \[ d^2-d+1<n<d^2. \] The proof, which originated from an internal model at OpenAI, mimics the r…
Totally symmetric Grassmannian codes
Matthew Fickus, Joseph W. Iverson, John Jasper +1
We introduce a general technique to construct tight fusion frames with prescribed symmetries. Applying this technique with a prescription for "all the symmetries", we construct a n…
Radon-Hurwitz Grassmannian codes
Matthew Fickus, Enrique Gomez-Leos, Joseph W. Iverson
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 pr…
Doubly transitive equiangular tight frames that contain regular simplices
Matthew Fickus, Evan C. Lake
An equiangular tight frame (ETF) is a finite sequence of equal norm vectors in a Hilbert space that achieves equality in the Welch bound, and so has minimal coherence. The binder o…
Equi-isoclinic subspaces, covers of the complete graph, and complex conference matrices
Matthew Fickus, Joseph W. Iverson, John Jasper +1
In 1992, Godsil and Hensel published a ground-breaking study of distance-regular antipodal covers of the complete graph that, among other things, introduced an important connection…