Generalized contextuality refers to our inability of explaining measurement statistics using a context-independent probabilistic and ontological model. On the other hand, can also be modeled framework general theories (GPTs). Here, starting from construction GPTs based on Gleason-type theorem, we fully characterize these structures with respect their permission rejection generalized (non)contex...

Randomness is a potential resource for cryptography, simulations and algorithms. Non-local correlations violating Bell's inequality certify the generation of bit strings whose randomness guaranteed in device-independent manner. We provide interesting semi-device independent certification protocols by Kochen-Specker (KS) contextuality. For this, we first cast Mermin's magic-square proof KS conte...

Different analytic notions of contextuality fall into two major groups: probabilistic and strong contextuality. Kochen Specker's Theorem~0 is a demarcation criterion for differentiating between those groups. Whereas still allows classical models, albeit with nonclassical probabilities, the logico-algebraic "strong" form characterizes collections quantum observables that have no faithfully embed...

The concept of formality/contextuality is proposed as the most important dimension of variation between linguistic expressions. Formal communication conveys information explicitly, through the linguistic expression itself, whereas contextual communication conveys information implicitly, through the context of the expression. An empirical measure of formality, the F-score, is proposed, based on ...

Quantum contextuality is one of the most perplexing and peculiar features quantum mechanics. Concisely, it refers to observation that result a single measurement in mechanics depends on set joint measurements actually performed. The study has long history at University Science Technology China (USTC). Here we review theoretical experimental advances this direction achieved USTC over last twenty...

Abramsky points out a connection between a non-locality phenomena in quantum physics and a non-locality phenomenon in database theory. This seems surprising as one would not expect—a priori—such a connection to exist. The proof of the relevant quantum theoretic phenomenon turns out in Abramsky’s analysis to be a mathematical rather than a physical phenomenon. It is based on the nonexistence, in...