2024/04/30 by Ludovico Lami, M. E. Shirokov, Maksim Shirokov
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Entropy (arrow of time) #Kullback–Leibler divergence #Mathematics #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Statistics
paper · doi:10.1142/s0219749924400094
openalex publication_date 2024/04/30 · crossref created 2024/04/30 · crossref issued 2024/05/29 · crossref published 2024/05/29 · crossref published-online 2024/05/29 · crossref published-print 2024/08/01 · crossref deposited 2024/09/11 · openalex created_date 2025/10/10 · crossref indexed 2026/08/02 · openalex updated_date 2026/08/02
We present a criterion to establish the local continuity of the relative entropy of resource, i.e. the relative entropy distance to the set of free states, in any quantum resource theory. 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.