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Classical, Quantum and Non-signalling Resources in Bipartite Games

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5 Author(s)

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.

Published in:

Quantum, Nano and Micro Technologies, 2008 Second International Conference on

Date of Conference:

10-15 Feb. 2008