Parallel repetition with a threshold in quantum interactive proofs

Abel Molina

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arXiv · 2008.07445

Parallel repetition with a threshold in quantum interactive proofs

Abel Molina

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Abstract

In this note, we show that $O(\log (1/\epsilon))$ rounds of parallel repetition with a threshold suffice to reduce completeness and soundness error to $\epsilon$ for single-prover quantum interactive proof systems. This improves on a previous $O(\log (1/\epsilon) \log \log (1/\epsilon))$ bound from Hornby (2018), while also simplifying its proof. A key element in our proof is a concentration bound from Impagliazzo and Kabanets (2010).

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Abel Molina. 2020-08-17. Parallel repetition with a threshold in quantum interactive proofs. https://arxiv.org/abs/2008.07445

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