paper

Exponential Relative Entropy Decay Along Quantum Markov Semigroups

arXiv:2505.07549

Abstract

We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neumann algebras. We also extend an intertwining criterion for the modified logarithmic Sobolev inequality to GNS-symmetric quantum Markov semigroups on infinite-dimensional von Neumann algebras.

Error in Theorem 2.7 corrected

Exponential Relative Entropy Decay Along Quantum Markov Semigroups · wovepaper