Weak quasi-factorization for the Belavkin-Staszewski relative entropy
Mathematical Physics
2021-09-24 v1 math.MP
Quantum Physics
Abstract
Quasi-factorization-type inequalities for the relative entropy have recently proven to be fundamental in modern proofs of modified logarithmic Sobolev inequalities for quantum spin systems. In this paper, we show some results of weak quasi-factorization for the Belavkin-Staszewski relative entropy, i.e. upper bounds for the BS-entropy between two bipartite states in terms of the sum of two conditional BS-entropies, up to some multiplicative and additive factors.
Cite
@article{arxiv.2101.10312,
title = {Weak quasi-factorization for the Belavkin-Staszewski relative entropy},
author = {Andreas Bluhm and Ángela Capel and Antonio Pérez-Hernández},
journal= {arXiv preprint arXiv:2101.10312},
year = {2021}
}
Comments
12 pages, 1 figure