14 citations · 14 across the 3 of their papers we have counts for
3 papers
quant-ph2026
Detecting bipartite entanglement with PnCP maps and non-negative polynomials
Gaël Massé, Mounir Rezig, Paul Catala +4
Positive non-Completely Positive (PnCP) maps are an essential tool to detect entanglement since their characterization is a dual aspect of the separability problem. A recent algori…
math.NA2022
Approximation and Interpolation of Singular Measures by Trigonometric Polynomials
Paul Catala, Mathias Hockmann, Stefan Kunis +1
Complex signed measures of finite total variation are a powerful signal model in many applications. Restricting to the -dimensional torus, finitely supported measures allow for…
math.OC2017★ 14 cited
A Low-Rank Approach to Off-The-Grid Sparse Deconvolution
Paul Catala, Vincent Duval, Gabriel Peyré
We propose a new solver for the sparse spikes deconvolution problem over the space of Radon measures. A common approach to off-the-grid deconvolution considers semidefinite (SDP) r…