Strong subadditivity of quantum mechanical entropy for semifinite von Neumann algebras
Volume 257 / 2021
Studia Mathematica 257 (2021), 71-85
MSC: Primary 81Q10.
DOI: 10.4064/sm190929-7-2
Published online: 31 August 2020
Abstract
We show that for Segal entropy defined for states on an arbitrary von Neumann algebra with normal faithful semifinite trace, strong subadditivity holds. We also prove some other related properties of this generalized entropy, in particular the concavity of $S(\rho _{12})-S(\rho _2)$, the subadditivity of entropy, and a generalization of the Araki–Lieb inequality.
