A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

Correlations in Bell and noncontextuality inequalities can be expressed as a positive linear
combination of probabilities of events. Exclusive events can be represented as adjacent …

In recent years, the use of information principles to understand quantum correlations has
been very successful. Unfortunately, all principles considered so far have a bipartite …

We show that the maximum quantum violation of the Klyachko-Can-Binicioğlu-Shumovsky
(KCBS) inequality is exactly the maximum value satisfying the following principle: The sum …

This paper presents a comprehensive exploration of semi-definite programming (SDP)
techniques within the context of quantum information. It examines the mathematical …

A fundamental problem is to understand why quantum theory only violates some
noncontextuality (NC) inequalities and identify the physical principles that prevent higher …

We show that the exclusivity (E) principle singles out the set of quantum correlations
associated with any exclusivity graph assuming the set of quantum correlations for the …

Contextuality is a distinctive feature of quantum theory and a fundamental resource for
quantum computation. However, existing examples of contextuality in high-dimensional …

Nonlocality is arguably one of the most fundamental and counterintuitive aspects of quantum
theory. Nonlocal correlations could, however, be even more nonlocal than quantum theory …

Analyzing the geometry of correlation sets constrained by general causal structures is of
paramount importance for foundational and quantum technology research. Addressing this …