We present a family of nonlocal games in which the inputs the players receive are continuous. We study three representative members of the family. For the first two a team sharing quantum correlations (entanglement) has an advantage over any team restricted to classical correlations. We conjecture that this is true for the third member of the family as well.
KeywordsQuantum games Entanglement Nonlocality Bell inequalities
We acknowledge support from the Israeli Science Foundation (Grants No. 784/06 and 990/06), and from the European Commission under the Integrated Project Qubit Applications (QAP) funded by the IST Directorate (Contract No. 015848).
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