Contextuality is modeled as the effect of invasive measurements represented by stochastic linear maps that map probabilities inside the noncontextuality polytope to points outside it, with consistency conditions derived for admissible maps and a minimal-invasiveness quantifier introduced for a three
On geometrical aspects of the graph approach to contextuality
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abstract
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, leading to a beautiful geometric characterization of such sets. This geometry can also be explored in the definition of contextuality quantifiers based on geometric distances, which is important for the resource theory of contextuality, developed after the recognition of contextuality as a potential resource for quantum computation. In this paper we review the geometric aspects of contextuality and use it to define several quantifiers, which have the advantage of being applicable to the exclusivity approach to contextuality, where previously defined quantifiers do not fit.
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Quantum contextuality from measurement invasiveness
Contextuality is modeled as the effect of invasive measurements represented by stochastic linear maps that map probabilities inside the noncontextuality polytope to points outside it, with consistency conditions derived for admissible maps and a minimal-invasiveness quantifier introduced for a three