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A well motivated method for demonstrating that an experiment resists anyclassical explanation is to show that its statistics violate generalizednoncontextuality. We here formulate this problem as a linear program andprovide an open-source implementation of it which tests whether or not anygiven prepare-measure experiment is classically-explainable in this sense. Theinput to the program is simply an arbitrary set of quantum states and anarbitrary set of quantum effects; the program then determines if the Born rulestatistics generated by all pairs of these can be explained by a classical(noncontextual) model. If a classical model exists, it provides an explicitmodel. If it does not, then it computes the minimal amount of noise that mustbe added such that a model does exist, and then provides this model. Wegeneralize all these results to arbitrary generalized probabilistic theories(and accessible fragments thereof) as well; indeed, our linear program is atest of simplex-embeddability.

A linear program for testing nonclassicality and an open-source implementation