Analyzing pseudo-telepathy graph games, we propose a way to build contextuality scenarios exhibiting the quantum supremacy using graph states. We consider the combinatorial structures generating equivalent scenarios. We introduce a new tool called...
In this paper, we consider the embedding of a complete d-uniform geometric hypergraph with n vertices in general position in Rd, where each hyperedge is represented as a (d−1)-simplex, and a pair of hyperedges is defined to cross if they are vertex...
We define a family of pseudo-telepathy games using graph states that extends the Mermin games. This family also contains a game used to define a quantum probability distribution that cannot be simulated by any number of PR boxes. We extend this result...
In this paper, we consider a generalized version of the rectilinear crossing number problem of drawing complete graphs on a plane. The minimum number of crossing pairs of hyperedges in the d-dimensional rectilinear drawing of a d-uniform hypergraph is...
