The authors identify four-player CHSH games in which a GHZ state yields a 22.5% quantum advantage over classical play, and another game where a W state is the better resource.
Decoodt,W state 1 - multi-qubit systems, 2018
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Four-Qubit CHSH Games
The authors identify four-player CHSH games in which a GHZ state yields a 22.5% quantum advantage over classical play, and another game where a W state is the better resource.