8 citations · 25 across the 9 of their papers we have counts for
5 papers · 1 filter
A short history of frames and quantum designs
Bernhard Bodmann, John Haas
In this survey, we relate frame theory and quantum information theory, focusing on quantum 2-designs. These are arrangements of weighted subspaces which are in a specific sense opt…
Low frame coherence via zero-mean tensor embeddings
Bernhard G. Bodmann, John I. Haas
This paper is concerned with achieving optimal coherence for highly redundant real unit-norm frames. As the redundancy grows, the number of vectors in the frame becomes too large t…
Phase retrieval by hyperplanes
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +4
We show that a scalable frame does phase retrieval if and only if the hyperplanes of its orthogonal complements do phase retrieval. We then show this result fails in general by giv…
Constructions of biangular tight frames and their relationships with equiangular tight frames
John I. Haas, Jameson Cahill, Janet Tremain +1
We study several interesting examples of Biangular Tight Frames (BTFs) - basis-like sets of unit vectors admitting exactly two distinct frame angles (ie, pairwise absolute inner pr…
On the structures of Grassmannian frames
John I. Haas, Peter G. Casazza
A common criterion in the design of finite Hilbert space frames is minimal coherence, as this leads to error reduction in various signal processing applications. Frames that achiev…