麻豆传媒映画

General Continuity Bounds for Quantum Relative Entropies
Andreas Bluhm 脕ngela Capel Paul Gondolf Antonio P茅rez-Hern谩ndez
August 2023
Abstract

Abstract:

In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we mostly recover known almost optimal bounds, whereas, for the Belavkin-Staszewski relative entropy, our bounds are new. Finally, we use these continuity bounds to derive a new entropic uncertainty relation. This is a short version of [1].