Note on a Family of Monotone Quantum Relative Entropies

Andreas Deuchert, Christian Hainzl, Robert Seiringer

Given a convex function $\phi$ and two hermitian matrices $A$ and $B$, Lewin and Sabin study in [M. Lewin, J. Sabin, {\it A Family of Monotone Quantum Relative Entropies}, Lett. Math.…