On the Connection between Contextuality and Semidefinite Programming

Quantum theory is one of the most prominent physical theories today, but it exhibits several "strange" properties, one of which is contextuality. This property states that the result of a measurement depends on the context in which it is being performed, specifically on the set of other possible results for the same measurement. Recently, A. Cabello highlighted a connection between contextuality and some convex sets from the theory of semidefinite programming, what is now known as the graph theoretic approach to contextuality. Our work aims to further explore this connection and raise new questions.