One of the defining differences between classical and quantum systems is how measurements affect them. Here, we compare approaches contextuality discord in capturing correlations special classes two-qubit states, demonstrating that although non-discordant states are non-contextual, discordant not always contextual.

Decoherence is the most widely accepted mechanism to explain the loss of coherence in quantum systems. Here we show how simple (quantum) trajectory–based models can help to understand the physics behind decoherence processes. In particular, we will analyze with these models the relationship between decoherence and quantum contextuality in the double–slit experiment, where two (quantum) contexts...

Counterfactual reasoning and contextuality is defined and critically evaluated with regard to its nonempirical content. To this end, a uniqueness property of states, explosion views and link observables are introduced. If only a single context associated with a particular maximum set of observables can be operationalized, then a context translation principle resolves measurements of different c...

Beginning with the Bell theorem, cyclic systems of dichotomous random variables have been object many foundational findings in quantum mechanics. Here, we ask question: if one chooses a system "at random" (uniformly within hyperbox all possible given marginals), what are odds that it will be contextual? We show contextuality rapidly tend to zero as size increases. The result is based on Context...

We introduce a hierarchy of semidefinite relaxations the set quantum correlations in generalised contextuality scenarios. This constitutes simple and versatile tool for bounding magnitude contextuality. To illustrate its utility, we use it to determine maximal violation several noncontextuality inequalities whose maximum violations were previously unknown. then go further prove that certain pre...

Blogs are personal online diaries, and a relatively recent form of computer-mediated communication. What kind of writing do they contain? This paper adopts a measure of linguistic contextuality/formality, due to Heylighen and Dewaele, and applies it to a corpus of weblogs. It first compares the corpus with sub-corpora from the British National Corpus, and weblogs are shown to be more formal tha...

The Klyachko, Can, Binicioglu, and Shumovsky (KCBS) inequality is an important contextuality inequality in three-level system, which has been demonstrated experimentally by using quantum states. Using the path and polarization degrees of freedom of classical optics fields, we have constructed the classical trit (cetrit), tested the KCBS inequality and its geometrical form (Wright's inequality) ...