126 citations · 348 across the 94 of their papers we have counts for
7 papers · 2 filters
The Solution to the Frame Quantum Detection Problem
Sara Bothelho-Andrade, Peter G. Casazza, Desai Cheng +1
We will give a complete solution to the frame quantum detection problem. We will solve both cases of the problem: the quantum injectivity problem and quantum state estimation probl…
The exact constant for the norm inequality
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +1
A fundamental inequality for Hilbert spaces is the -norm inequality which gives that for any , But this is a strict inequali…
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…
Associating vectors in $\CC^n$ with rank 2 projections in $\RR^{2n}$: with applications
Peter G. Casazza, Desai Cheng
We will see that vectors in $\CC^n$ have natural analogs as rank 2 projections in $\RR^{2n}$ and that this association transfers many vector properties into properties of rank two…
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…
Norm retrieval and phase retrieval by projections
Peter G. Casazza, Dorsa Ghoreishi, Shani Jose +1
We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is…