International Conference on Quantum, Nano and Micro Technologies (ICQNM)

Classical, Quantum and Non-signalling Resources in Bipartite Games

Gilles Brassard A, Anne Broadbent, Esther Hänggi, André Allan Méthot, Stefan Wolf

Published Feb 1, 2008• 1 citation

Abstract

We study bipartite games that arise in the context of nonlocality with the help of graph theory. Our main results are alternate proofs that deciding whether a no-communication classical winning strategy exists for certain games (called forbidden-edge and covering games) is NP- complete, while the problem of deciding if these games admit a non-signalling winning strategy is in P. We discuss relations between quantum winning strategies and orthogonality graphs. We also show that every pseudo-telepathy game yields both a proof of the Bell-Kochen-Specker theorem and an instance of a two-prover interactive proof system that is classically sound, but that becomes unsound when provers use shared entanglement.

DOI: 10.1109/icqnm.2008.18

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