Parallel Repetition for the GHZ Game: Exponential Decay

2023 IEEE 64TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, FOCS（2023）

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摘要

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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关键词

ghz game,repetition,parallel

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