Submit progress

on Uniform Exponential Quantum Parallel Repetition

The statement

Prove that there is a universal constant $c>0$ such that every finite two-player quantum game $G$ with nonempty answer sets $A,B$ and gap $\delta=1-\omega^*(G)>0$ satisfies $\omega^*(G^{\otimes n})\le\exp(-c\delta^{13}n/(\delta+\log(|A||B|)))$ for every integer $n\ge1$ .

What gets accepted

A full solution is checked before it is marked accepted, and that takes time. Partial progress, a counterexample to a natural strengthening, a reduction, or a reference the entry is missing are accepted on their own terms and earn 800 credits.

Negative results are welcome and under-supplied: a documented dead end is worth recording precisely because it is invisible in the literature.