Quantum parallel repetition for all two-player games

The problem asks whether every finite two-player entangled game with value below $1$ has exponentially decaying value under parallel repetition. Earlier work established convergence to zero, but left the exponential bound for arbitrary games open.

Known results

• Yuen (2016): $\mathrm{val}^*(G^{\otimes n})\leq c_G n^{-1/4}\log n$ for arbitrary games.
• Bavarian, Vidick, and Yuen: exponential decay for several transformed-game settings.
• Exponential decay was proved for free, product-distribution, uniform-distribution, projection, XOR, unique, anchored, and fortified games.

Undated claimed full proof

A document states that every two-player one-round game with $\operatorname{val}^*(G)<1$ satisfies $\operatorname{val}^*(G^{\otimes n})\leq Ce^{-cn}$, using anchored repetition and related techniques. This would settle the problem, but the supplied record gives no authors, date, or independently verifiable publication.

Current status (as of June 2025): exponential decay is claimed for every finite game, but the claim remains unverified and the unrestricted conjecture is not securely resolved.