Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

Contextuality without Incompatibility

“…Our companion paper, Ref. [4], generalizes the results in this paper in a number of ways. First, the arguments therein are formulated in the context of arbitrary generalized probabilistic theories rather than just quantum theory.…”

“…To make the argument as simple as possible, we consider uniform sampling, i.e., PðtÞ ¼ ð1=jTjÞ, where jTj is the cardinality of the set T of possible settings. (In our companion paper [4], we show that any distribution with full support also works.) This simple version of flag convexification is depicted in Fig.…”

“…In a companion paper, Ref. [4], we give more general arguments and applications of these results (see the conclusions for a summary).…”