In this paper we extend some theorems published lately on the relationship between convexity/concavity, and subadditivity/superadditivity. We also generalize inequalities of compound functions that refine Minkowski inequality.

Quantum capacities are fundamental quantities that notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted finding tight computable bounds on these capacities. We add new viewpoint by giving operationally motivated several capacities, including the quantum capacity private channel one-way distillable entanglement ke...

The primate brain contains a set of face-selective areas, which are thought to extract the rich social information that faces provide, such as emotional state and personal identity. The nature of this information raises a fundamental question about these face-selective areas: Do they respond to a face purely because of its visual attributes, or because the face embodies a larger social agent? H...