Speaker
Thomas Faulkner
(UIUC)
Description
I will present proofs of two extensions of the quantum null energy condition; formulated as convexity of relative entropy along a one parameter family of vN algebras generated by a half-sided modular inclusion (HSMI). The first generalizes the relative entropy reference vacuum state to a weight, as in Araki-Zsido’s extension of the HSMI structure. The second replaces relative entropy with sandwiched Renyi relative entropies that are in turn based on a weighted $L_p$ norm for $p>2$.