3 papers
math.CO2023
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…
math.FA2017
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…
math.FA2016
Toward the Classification of Biangular Harmonic Frames
Peter G. Casazza, Amineh Farzannia, John I. Haas +1
Equiangular tight frames (ETFs) and biangular tight frames (BTFs) - sets of unit vectors with basis-like properties whose pairwise absolute inner products admit exactly one or two…