Exploiting finite geometries for better quantum advantages in Mermin-like games
Colm Kelleher,
Frédéric Holweck,
Péter Lévay
Abstract:Quantum games embody non-intuitive consequences of quantum phenomena, such as entanglement and contextuality. The Mermin-Peres game is a simple example, demonstrating how two players can utilise shared quantum information to win a no - communication game with certainty, where classical players cannot. In this paper we look at the geometric structure behind such classical strategies, and borrow ideas from the geometry of symplectic polar spaces to maximise this quantum advantage. We introduce a new game called … Show more
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