A New Proof of Nonsignalling Multiprover Parallel Repetition Theorem

Himanshu Tyagi; Shun Watanabe

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arXiv · 1901.11105

A New Proof of Nonsignalling Multiprover Parallel Repetition Theorem

Himanshu Tyagi·Shun Watanabe

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Abstract

We present an information theoretic proof of the nonsignalling multiprover parallel repetition theorem, a recent extension of its two-prover variant that underlies many hardness of approximation results. The original proofs used de Finetti type decomposition for strategies. We present a new proof that is based on a technique we introduced recently for proving strong converse results in multiuser information theory and entails a change of measure after replacing hard information constraints with soft ones.

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Himanshu Tyagi, Shun Watanabe. 2019-01-30. A New Proof of Nonsignalling Multiprover Parallel Repetition Theorem. https://arxiv.org/abs/1901.11105

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