We uncover a form of quantum contextuality that connects maximal to boson indistinguihability in similar way nonlocality with respect the Clauser-Horne-Shimony-Holt Bell inequality is connected entanglement. Unlike previous forms photonic contextuality, this cannot be simulated classical light, as it relies on indistinguishability and higher-order interference. Ideal measurements bosonic system...

Quantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier this resource, rank (RC). define RC as minimum number non-contextual behaviors that are needed to simulate contextual behavior. show logarithm natural measure satisfying several properties considered spirit resource-theoretic approach. The include faithfuln...

Contextuality and nonlocality are nonclassical properties exhibited by quantum statistics whose implications profoundly impact both the foundations applications of theory. In this paper we provide some insights into logical contextuality inequality-free proofs. The former can be understood as possibility version contextuality, while latter refers to proofs that not based on violations noncontex...

We develop on the idea that everything is related, inside, and therefore determined by a context. This stance, which at first might seem obvious, has several important consequences. This paper first presents ideas on Contextuality, for then applying them to problems in philosophy of cognitive science. Because of space limitations, for the second part we will assume that the reader is familiar w...

Extendability of an empirical model was shown by Abramsky & Brandenburger to correspond in a unified manner to both locality and non-contextuality. We develop their approach by presenting a refinement of the notion of extendability that can also be useful in characterising the properties of sub-models. The refinement is found to have another useful application: it is shown that a particular, ca...

Quantum mechanics is contextual, that is, the outcome of a measurement does depend on how that value is measured. This somewhat bizarre, non-classical feature is a consequence of the Kochen-Specker theorem, which asserts that there is no non-contextual hidden variable theory that reproduces quantum theory. Contextuality is a property of quantum systems with Hilbert spaces of d > 2, as it can be...

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of outcomes, can be defined independent of the measurement context. The phenomenon is deemed contextual when this assumption fails. Contextuality is an important ...