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math-ph2021
Weak quasi-factorization for the Belavkin-Staszewski relative entropy
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
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…
math-ph2019
A strengthened data processing inequality for the Belavkin-Staszewski relative entropy
Andreas Bluhm, Angela Capel
In this work, we provide a strengthening of the data processing inequality for the relative entropy introduced by Belavkin and Staszewski (BS-entropy). This extends previous result…