Mutual information superadditivity and unitarity bounds

A bstract We derive the property of strong superadditivity mutual information arising from Markov vacuum state in a conformal field theory and subadditivity entanglement entropy. show this inequality encodes unitarity bounds for different types fields. These are precisely ones that saturate free This has natural explanation terms possibility localizing algebras on null surfaces. particular continuity characterizes fields entropic point view. general formula leading long distance term regions arbitrary shape which involves modular flow these regions. obtain form two spheres with orientations spacetime, primary any tensor representation. For we further explicit boundaries cones.