In quantum theory, correlations between outcomes of co-measurable
observables violate certain Bell and noncontextuality inequalities up to
certain limits. Three natural questions arise: (i) Which inequalities
are violated? (ii) Which violations are possible? (iii) Which principle
prevents higher violations and singles out quantum correlations? We will
answer these questions within the graph and multigraph-theoretic
approaches to quantum correlations (Cabello et al and R. Rabelo et al.,
respectively) and discuss the implications of these answers for an
axiomatic formulation of quantum theory from "reasonable" axioms.
References
A. Cabello, S. Severini, and A. Winter, arXiv:1010.2163
A. Cabello, S. Severini, and A. Winter, Phys. Rev. Lett. 040401, 112
(2014),
R. Rabelo et al., arXiv:1407.5340 |