Continuity of the relative entropy of resource

Autor: Lami, Ludovico, Shirokov, Maksim E.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: A criterion of local continuity of the relative entropy of resource -- the relative entropy distance to the set of free states -- is obtained. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information.
Comment: 15 pages, any comments are welcome
Databáze: arXiv