2 problems

Collins–Gisin conjecture. For every $m\geq 1$, the $\mathrm{I}_{mm22}$ inequality is a facet of $\mathrm{COR}^\square(\mathrm{K}_{m,m})$; equivalently, it is a tight Bell inequalit…

For $n\in\mathbb{N}$, let $C_n\in\mathbb{R}_+^{2^n\times 2^n}$ be defined by … for $a,b\in\{0,1\}^n$, and let $\operatorname{rank}_+(C_n)$ denote its nonnegative rank. Full nonnega…