Parallel Repetition for the GHZ Game: Exponential Decay

Mark Braverman; Subhash Khot; Dor Minzer

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arXiv · 2211.13741

Parallel Repetition for the GHZ Game: Exponential Decay

Mark Braverman·Subhash Khot·Dor Minzer

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Abstract

We show that the value of the $n$-fold repeated GHZ game is at most $2^{-\Omega(n)}$, 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.

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BibTeX RIS

Mark Braverman, Subhash Khot, Dor Minzer. 2022-11-24. Parallel Repetition for the GHZ Game: Exponential Decay. https://arxiv.org/abs/2211.13741

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