3 problems

For each finite NPA level $k$, let $a_k$ be the coefficient in the small-$s$ expansion … where the coefficients satisfy $a_k\downarrow0$ as $k$ increases. Positivity conjecture.…

Let $n$ players be divided into two groups of sizes $n-k$ and $k$, with $k$ fixed. Let $V_Q^*$ and $V_C^*$ denote the optimal quantum and classical values, respectively, for the…

For $1/2<\eta_1<\eta_2<1$, let $\operatorname{PR}_{\eta_1}$ and $\operatorname{PR}_{\eta_2}$ denote the corresponding noisy Popescu–Rohrlich boxes. Non-distillation conjecture. Two…