|Title||Approximate recovery and relative entropy I. general von Neumann subalgebras|
|Publication Type||Journal Article|
|Year of Publication||2020|
|Authors||Faulkner, T, Hollands, S, Swingle, B, Wang, Y|
We prove the existence of a universal recovery channel that approximately recovers states on a v. Neumann subalgebra when the change in relative entropy, with respect to a fixed reference state, is small. Our result is a generalization of previous results that applied to type-I v. Neumann algebras by Junge at al. [arXiv:1509.07127]. We broadly follow their proof strategy but consider here arbitrary v. Neumann algebras, where qualitatively new issues arise. Our results hinge on the construction of certain analytic vectors and computations/estimations of their Araki-Masuda Lp norms. We comment on applications to the quantum null energy condition.