8 problems

String theory is described as non-localizable because there is a fundamental length $\ell>0$ below which events cannot be distinguished. In this setting, the usual local commutativ…

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.…

Consider the $MAJORITY$ game with a grouping whose group size $k$ depends on the number of players $n$. Let $V_Q^*$ and $V_C^*$ denote the optimal quantum and classical bounds, res…

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…

In local quantum field theory, ultraviolet divergences arise from singular products of point-localised observables, equivalently from point-localized elementary scatterings. Gravit…

Edge-length logarithm conjecture. The $\log(n)$ factors in the length of the edges are suboptimal.

The setting is finite-dimensional quantum mechanics, with scenarios having $N$ subsystems, two distinct measurements per subsystem, and local dimension $D$. For qubits, the complem…

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…