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A New Proof of Nonsignalling Multiprover Parallel Repetition Theorem

Tyagi, H and Watanabe, S (2019) A New Proof of Nonsignalling Multiprover Parallel Repetition Theorem. In: 2019 IEEE International Symposium on Information Theory, ISIT 2019, 7 - 12 July 2019, Paris, pp. 967-971.

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Official URL: https://doi.org/10.1109/ISIT.2019.8849694

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.

Item Type: Conference Paper
Publication: IEEE International Symposium on Information Theory - Proceedings
Publisher: Institute of Electrical and Electronics Engineers Inc.
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Change of measure; Hardness of approximation; Multi user information theory; Parallel repetition; Strong converse, Information theory
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 23 Oct 2022 06:28
Last Modified: 23 Oct 2022 06:28
URI: https://eprints.iisc.ac.in/id/eprint/77500

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