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It is well known that certain measurement scenarios behave in a way which can not be explained by classical theories but by quantum theories. This behaviours are usually studied by Bell or non-contextuality (NC) inequalities. Knowing the maximal classical and quantum bounds of this inequalities is interesting, but tells us little about the quantum set Q of all quantum behaviours P. Despite having a constructive description of the quantum set associated to a given inequality, the freedom to choose quantum dimension, quantum states, and quantum measurements makes the shape of such convex bodies quite elusive. It is well known that a NC-inequality can be associated to a graph and the quantum set is a combinatorial object. Extra conditions, like Bell concept of parts, may restrict the behaviours achievable within quantum theory for a given scenario. For the simplest case, CHSH inequality, the NC and Be
The connection between contextuality and graph theory has led to many developments in the field. In particular, the sets of probability distributions in many contextuality scenarios can be described using well known convex sets from graph theory, lea
Exploring the graph approach, we restate the extended definition of noncontextuality provided by the contextuality-by-default framework. This extended definition avoids the assumption of nondisturbance, which states that whenever two contexts overlap
We report a method that exploits a connection between quantum contextuality and graph theory to reveal any form of quantum contextuality in high-precision experiments. We use this technique to identify a graph which corresponds to an extreme form of
Quantum teleportation plays a key role in modern quantum technologies. Thus, it is of much interest to generate alternative approaches or representations aimed at allowing us a better understanding of the physics involved in the process from differen
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible mea