166 citations · 655 across the 82 of their papers we have counts for
43 papers · 1 filter
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…
HRT counterexamples with exponential tails
John Jasper, Dustin G. Mixon
We build on the recent breakthrough of Faulhuber, Petersen, van Velthoven, and Voigtlaender that disproved the HRT conjecture with a Schwartz function and a -point configuratio…
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…
Approximation theorems in bilipschitz invariant theory
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon +1
Bilipschitz invariant theory concerns low-distortion embeddings of orbit spaces into Euclidean space. To date, embeddings with the smallest-possible distortion are known for only a…
The impossibility of extending the Naimark complement
Emily J. King, Dustin G. Mixon
We show that there is no extension of the Naimark complement to arbitrary frames that satisfies three fundamental properties of the Naimark complement of Parseval frames.
Nearly tight weighted 2-designs in complex projective spaces of every dimension
John Jasper, Dustin G. Mixon
We use dense Sidon sets to construct small weighted projective 2-designs. This represents quantitative progress on Zauner's conjecture.