Sara Botelho-Andrade

activity

20152023

most citedPhase retrieval by hyperplanes

2 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.FA2017★ 1 cited

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.FA2017★ 2 cited

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality

Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +1

A fundamental inequality for Hilbert spaces is the $ℓ_{1} - ℓ_{2}$ -norm inequality which gives that for any $x \in H^{n}$ , $∥ x ∥_{1} \leq n ∥ x ∥_{2} .$ But this is a strict inequali…

math.FA2017★ 2 cited

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…

The Solution to the Frame Quantum Detection Problem

The exact constant for the ℓ1​−ℓ2​ norm inequality

Phase retrieval by hyperplanes

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality