<p>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 <a href="https://dl.acm.org/doi/10.1145/3055399.3055433" rel="nofollow noreferrer">anchored games paper v1</a>.</p>
<p>There seems to be typo in Lemma 4 of the parallel DIQKD <a href="https://arxiv.org/abs/1703.08508" rel="nofollow noreferrer">paper</a>-- it should have been <span class="math-container">$\tau_{\eta, t}^\ast (G_\eta) \leq e^{-\Omega(\delta^9 n)}$</span> in the lemma.</p>

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2022-07-05T19:37:10.030Z
2022-07-05T19:37:10.030Z
Noel
<p>This question is based on the paper- <a href="https://arxiv.org/abs/1703.08508" rel="nofollow noreferrer">https://arxiv.org/abs/1703.08508</a>.</p>
<p>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?</p>

CC BY-SA 4.0
2022-05-10T07:27:11.593Z
Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking.
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<quantum-computing><quantum-information><cryptography>
Vidick's proof of parallel DI-QKD
Noel
# Vidick's proof of parallel DI-QKD

(Asked by: username_0 on 2022-05-05)

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?

**Tags:** quantum-computing, quantum-information, cryptography
> **Comments:**
> **username_1**: Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking.  

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## 1 answers

### Answer by username_0 on 2022-07-05. Score: 0 | Accepted answer

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](https://dl.acm.org/doi/10.1145/3055399.3055433).

There seems to be typo in Lemma 4 of the parallel DIQKD [paper](https://arxiv.org/abs/1703.08508)-- it should have been $\tau\_{\eta, t}^\ast (G\_\eta) \leq e^{-\Omega(\delta^9 n)}$ in the lemma.


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