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Tripartite Non-Causal Games with Multi-Settings

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Abstract

Four new tripartite non-causal games are introduced in this paper. By considering the upper bound of the success probabilities of the games, tripartite causal inequalities with 4 inputs are derived. In addition, we show that those inequalities can be violated by choosing effective process matrices and instruments. Note that the violations we attained for our causal inequalities are maximal.

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Acknowledgments

We are partially supported by NSFC No. 11771106.

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Correspondence to Juan Gu.

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Gu, J., Li, L. Tripartite Non-Causal Games with Multi-Settings. Int J Theor Phys 60, 2346–2357 (2021). https://doi.org/10.1007/s10773-020-04465-6

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