English

Parallel Repetition for the GHZ Game: Exponential Decay

Computational Complexity 2022-11-28 v1

Abstract

We show that the value of the nn-fold repeated GHZ game is at most 2Ω(n)2^{-\Omega(n)}, improving upon the polynomial bound established by Holmgren and Raz. Our result is established via a reduction to approximate subgroup type questions from additive combinatorics.

Cite

@article{arxiv.2211.13741,
  title  = {Parallel Repetition for the GHZ Game: Exponential Decay},
  author = {Mark Braverman and Subhash Khot and Dor Minzer},
  journal= {arXiv preprint arXiv:2211.13741},
  year   = {2022}
}
R2 v1 2026-06-28T07:11:53.098Z