4 papers
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…
A unified framework for Bell inequalities from continuous-variable contextuality
Carlos Ernesto Lopetegui-González, Gaël Massé, Enky Oudot +6
Although the original EPR paradox was formulated in terms of position and momentum, most studies of these phenomena have focused on measurement scenarios with only a discrete numbe…
Realistic Bell tests with homodyne measurements
Enky Oudot, Gaël Massé, Xavier Valcarce +1
We analyze Bell inequalities violations in photonic experiments for which the measurement apparatuses are restricted to homodyne measurements. Through numerical optimization of the…
Upper bound hierarchies for noncommutative polynomial optimization
Igor Klep, Victor Magron, Gaël Massé +1
This work focuses on minimizing the eigenvalue of a noncommutative polynomial subject to a finite number of noncommutative polynomial inequality constraints. Based on the Helton-Mc…