Continuity of the relative entropy of resource
Quantum Physics
2025-02-18 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2308.00696,
title = {Continuity of the relative entropy of resource},
author = {Ludovico Lami and Maksim E. Shirokov},
journal= {arXiv preprint arXiv:2308.00696},
year = {2025}
}
Comments
15 pages, any comments are welcome