166 citations · 655 across the 82 of their papers we have counts for
6 papers · 1 filter
Harmonic Grassmannian codes
Matthew Fickus, Joseph W. Iverson, John Jasper +1
An equi-isoclinic tight fusion frame (EITFF) is a type of Grassmannian code, being a sequence of subspaces of a finite-dimensional Hilbert space of a given dimension with the prope…
Three proofs of the Benedetto-Fickus theorem
Dustin G. Mixon, Tom Needham, Clayton Shonkwiler +1
In 2003, Benedetto and Fickus introduced a vivid intuition for an objective function called the frame potential, whose global minimizers are fundamental objects known today as unit…
Asymptotic Frame Theory for Analog Coding
Marina Haikin, Matan Gavish, Dustin G. Mixon +1
Over-complete systems of vectors, or in short, frames, play the role of analog codes in many areas of communication and signal processing. To name a few, spreading sequences for co…
Sketching with Kerdock's crayons: Fast sparsifying transforms for arbitrary linear maps
Tim Fuchs, David Gross, Felix Krahmer +2
Given an arbitrary matrix , we consider the fundamental problem of computing for any such that is -sparse. While fast al…
Testing isomorphism between tuples of subspaces
Emily J. King, Dustin G. Mixon, Shayne Waldron
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 wh…
A note on tight projective 2-designs
Joseph W. Iverson, Emily J. King, Dustin G. Mixon
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 dimensio…