%0 Journal Article
%T Remainder Terms for Some Quantum Entropy Inequalities
%A Eric A. Carlen
%A Elliott H. Lieb
%J Mathematics
%D 2014
%I arXiv
%R 10.1063/1.4871575
%X We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.
%U http://arxiv.org/abs/1402.3840v2