Tanay Kibe

Fixed-ray escort representations of sandwiched and $\alpha$--$z$ R\'enyi divergences on von Neumann algebras

We represent sandwiched and $\alpha$-$z$ R\'enyi divergences as averages of ordinary relative entropy. The $\alpha$-$z$ R\'enyi divergence is shown to be an integral over the relative entropy of a canonical family of fixed-ray escort states along the ray $z=c\alpha$. We prove this representation for normal states on an...