I assess various proposals for the source of intuition that there is something problematic about contextuality, ultimately concluding contextuality best thought in terms fine-tuning. then argue as with other fine-tuning problems quantum mechanics, this behaviour can be understood a manifestation teleological features physics. Finally discuss several formal mathematical frameworks have been used...

We report first steps towards elucidating the relationship between contextuality, measurementbased quantum computation (MBQC) and the non-classical logic of a topos associated with the computation. We show that, in a class of MBQC, classical universality requires non-classical logic, which is ‘consumed’ during the course of the computation, thereby pinpointing another potential quantum computat...

Bell inequalities play a central rôle in the study of quantum non-locality and entanglement, with many applications in quantum information. Despite the huge literature on Bell inequalities, it is not easy to find a clear conceptual answer to what a Bell inequality is, or a clear guiding principle as to how they may be derived. In this paper, we introduce a notion of logical Bell inequality whic...

R. Duncan Luce once mentioned in a conversation that he did not consider Kolmogorov’s probability theory well-constructed because it treats stochastic independence as a “numerical accident,” while it should be treated as a fundamental relation, more basic than the assignment of numerical probabilities. I argue here that stochastic independence is indeed a “numerical accident,” a special form of...

Abstract In this paper, following an elementary line of thought which somewhat differs from the usual one, we prove once more that any deterministic theory predictively equivalent to quantum mechanics unavoidably exhibits a contextual character. The purpose of adopting this perspective is that of paving the way for a critical analysis of the use of counterfactual arguments when dealing with non...

Here we analyze the relationship between quantum contextuality and decoherence in interference experiments with matter particles by means of a simple reduced quantum-trajectory model, which attempts to simulate the behavior of the projections of multi-dimensional, system-plus-environment Bohmian trajectories onto the subspace of the reduced system. This model allows us to understand the crossin...

Abstract The Kochen-Specker (KS) theorem is a cornerstone result in the foundations of quantum mechanics describing fundamental difference between theory and classical non-contextual theories. Recently specific substructures termed 01-gadgets were shown to exist within KS proofs that capture essential contradiction theorem. Here, we show these gadgets their generalizations provide an optimal to...