Parallel repetition of entangled games
We consider one-round games between a classical referee and two players. One of the main questions in this area is the parallel repetition question: Is there a way to decrease the maximum winning probability of a game without increasing the number of rounds or the number of players? Classically, efforts to resolve this question, open for many years, have culminated in Raz's celebrated parallel repetition theorem on one hand, and in efficient product testers for PCPs on the other. In the case where players share entanglement, the only previously known results are for special cases of games, and are based on techniques that seem inherently limited. Here we show for the first time that the maximum success probability of entangled games can be reduced through parallel repetition, provided it was not initially 1. Our proof is inspired by a seminal result of Feige and Kilian in the context of classical two-prover one-round interactive proofs. One of the main components in our proof is an orthogonalization lemma for operators, which might be of independent interest. © 2011 ACM.
2-s2.0-79959721269
Institut de Recherche en Informatique Fondamentale (IRIF)
California Institute of Technology
2011
9781450306911
353
362
REVIEWED
OTHER
| Event name | Event acronym | Event place | Event date |
San Jose, United States | 2011-06-06 - 2011-06-08 | ||