Abstract
A pseudo-telepathy game is a non-local game which can be won with probability one using quantum strategies but not using classical ones. Our central question is whether there exist two-party pseudo-telepathy games which cannot be won with probability one using a maximally entangled state. Towards answering this question, we develop conditions under which maximally entangled state suffices. Our main result shows that for any game \(G\), there exists a game \(\tilde{G}\) such that \(G\) admits a perfect strategy using a maximally entangled state if and only if \(\tilde{G}\) admits some perfect finite-dimensional quantum strategy.
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Mančinska, L. (2014). Maximally Entangled State in Pseudo-Telepathy Games. In: Calude, C., Freivalds, R., Kazuo, I. (eds) Computing with New Resources. Lecture Notes in Computer Science(), vol 8808. Springer, Cham. https://doi.org/10.1007/978-3-319-13350-8_15
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DOI: https://doi.org/10.1007/978-3-319-13350-8_15
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