Two-player entangled games are NP-hard.

Leibniz International Proceedings in Informatics(2018)

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摘要
We show that it is NP-hard to approximate, to within an additive constant, the maximum success probability of players sharing quantum entanglement in a two-player game with classical questions of logarithmic length and classical answers of constant length. As a corollary, the inclusion NEXP MIP , first shown by Ito and Vidick (FOCS'12) with three provers, holds with two provers only. The proof is based on a simpler, improved analysis of the low-degree test of Raz and Safra (STOC'97) against two entangled provers.
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关键词
low-degree testing,entangled nonlocal games,multi-prover interactive proof systems
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