A parallel repetition theorem for entangled projection games
- Dinur, Irit
- Steurer, David
- Vidick, Thomas
DOIAbstract
We study the behavior of the entangled value of two-player one-round projection games under parallel repetition. We show that for any projection game G of entangled value 1−ϵ<1, the value of the k-fold repetition of G goes to zero as O((1−ϵ^c)^k), for some universal constant c≥1 furthermore the constraint graph of G is expanding, we obtain the optimal c = 1. Previously exponential decay of the entangled value under parallel repetition was only known for the case of XOR and unique games. To prove the theorem, we extend an analytical framework introduced by Dinur and Steurer for the study of the classical value of projection games under parallel repetition. Our proof, as theirs, relies on the introduction of a simple relaxation of the entangl...
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