STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Can quantum mechanics help distributed computing?
ACM SIGACT News
Amortized Communication Complexity of Distributions
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Exponential quantum enhancement for distributed addition with local nonlinearity
Quantum Information Processing
Parallel repetition of the odd cycle game
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
Constructive proofs of concentration bounds
APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
Unique Games with Entangled Provers Are Easy
SIAM Journal on Computing
Properties of local quantum operations with shared entanglement
Quantum Information & Computation
Entanglement-resistant two-prover interactive proof systems and non-adaptive pir's
Quantum Information & Computation
ASIACRYPT'11 Proceedings of the 17th international conference on The Theory and Application of Cryptology and Information Security
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We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier's verdict is a function of the XOR of the two bits received. We show that, when the provers are allowed to coordinate their behavior using a shared entangled quantum state, a perfect parallel repetition theorem holds in the following sense. The prover's optimal success probability for simultaneously playing a collection of XOR proof systems is exactly the product of the individual optimal success probabilities. This property is remarkable in view of the fact that, in the classical case (where the provers can only utilize classical information), it does not hold. The theorem is proved by analyzing parities of XOR proof systems using semidefinite programming techniques, which we then relate to parallel repetitions of XOR games via Fourier analysis.