5 citations · 11 across the 7 of their papers we have counts for
7 papers
Real matrices whose columns have equal modulus coordinates
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +2
We study matrices whose columns are of the form \[\{(a_{1j},\ldots, a_{nj}): \quad a_{1j} = λ_j,\ a_{ij} = \pmλ_j\ , \ λ_j >0 ,\ j=1,2,\ldots,n\}.\] We explicitly cons…
Phase Retrieval in $\ell_2(\RR)$
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +2
We will review the major results in finite dimensional real phase retrieval for vectors and projections. We then (1)prove that many of these theorems hold in infinite dimensions, (…
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…
Optimal properties of the canonical tight probabilistic frame
Desai Cheng, Kasso A. Okoudjou
A probabilistic frame is a Borel probability measure with finite second moment whose support spans . A Parseval probabilistic frame is one for which the associated ma…
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…