Abstract
After introducing the graph-approaches to contextuality, we discuss how they lead to important developments in foundations of quantum physics. One of the most thought-provoking scientific challenges in recent times is deriving quantum theory from first principles. The starting point is assuming general probabilistic theories allowing for correlations that go beyond those that arise in quantum theory, and the goal is to find principles that pick out quantum theory from this landscape of possible theories. The exclusivity principle was proposed as a possible answer and many results have been found so far. A detailed review of these results is presented in this chapter.
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