Quantum Advantage from Any Non-Local Game
Abstract
We show a general method of compiling any -prover non-local game into a single-prover interactive game maintaining the same (quantum) completeness and (classical) soundness guarantees (up to negligible additive factors in a security parameter). Our compiler uses any quantum homomorphic encryption scheme (Mahadev, FOCS 2018; Brakerski, CRYPTO 2018) satisfying a natural form of correctness with respect to auxiliary (quantum) input. The homomorphic encryption scheme is used as a cryptographic mechanism to simulate the effect of spatial separation, and is required to evaluate prover strategies (out of ) on encrypted queries. In conjunction with the rich literature on (entangled) multi-prover non-local games starting from the celebrated CHSH game (Clauser, Horne, Shimonyi and Holt, Physical Review Letters 1969), our compiler gives a broad framework for constructing mechanisms to classically verify quantum advantage.
Cite
@article{arxiv.2203.15877,
title = {Quantum Advantage from Any Non-Local Game},
author = {Yael Kalai and Alex Lombardi and Vinod Vaikuntanathan and Lisa Yang},
journal= {arXiv preprint arXiv:2203.15877},
year = {2022}
}