Maximally entangled states are not complete for pseudo-telepathy

Abstract:One of the longstanding open problems in quantum nonlocality is to determine if maximally entangled states are complete for bipartite pseudo-telepathic games: namely, if every nonlocal game which admits a perfect entangled strategy admits such a strategy which uses a maximally entangled state. We exhibit a counterexample to this in the form of a bipartite nonlocal game with input sets of size 4 and 3 and output sets both of size 6. This game is part of a new class of nonlocal games, which we call inner product games, which could be of independent interest.

arXiv:2608.05378 [quant-ph]

(or arXiv:2608.05378v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.05378 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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