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This question is based on the paper- https://arxiv.org/abs/1703.08508.

As far as I understand, for this proof Vidick uses a quantum parallel repetition for 3 player- Alice, Bob and Eve but the results in the anchored games paper and Lemma 4 of the paper are only for 2 players. Am I missing something?

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    May 10, 2022 at 7:27

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It seems that the proof indeed relies on a 3 player parallel repetition result for anchored games. A proof sketch for multiplayer anchored games has been given in Sec 5.3 of the anchored games paper v1.

There seems to be typo in Lemma 4 of the parallel DIQKD paper-- it should have been $\tau_{\eta, t}^\ast (G_\eta) \leq e^{-\Omega(\delta^9 n)}$ in the lemma.

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