Bounding the separable rank via polynomial optimization

Sander Gribling, Monique Laurent, Andries Steenkamp

We investigate questions related to the set ${\mathcal{S}\mathcal{E}\mathcal{P}}_d$ consisting of the linear maps $\rho$ acting on ${\mathbb{C}}^d\otimes {\mathbb{C}}^d$ that can be written as a convex combina…