SOME INEQUALITIES FOR RELATIVE OPERATOR ENTROPY 1. Introduction Kamei and Fujii
[6], [7] defined the relative operator entropy S Page 1 SOME INEQUALITIES FOR RELATIVE …

Let S (ρ) be the von Neumann entropy of a density matrix ρ. Weak monotonicity asserts that
S (ρ AB)-S (ρ A)+ S (ρ BC)-S (ρ C)≥ 0 for any tripartite density matrix ρ ABC, a fact that is …

In this paper we investigate the inequality $ S_q (\rho_ {123})+ S_q (\rho_2)\leq S_q (\rho_
{12})+ S_q (\rho_ {23})\,(*) $ where $\rho_ {123} $ is a state on a finite dimensional Hilbert …

Recently, there has been focus on determining the conditions under which the data
processing inequality for quantum relative entropy is satisfied with approximate equality. The …

In this paper, that is a continuation of recent work [SS Dragomir, Some inequalities for
relative operator entropy, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 145. http://rgmia …

In this paper, a lower bound of quantum conditional mutual information is obtained by
employing the Peierls–Bogoliubov inequality and the Golden–Thompson inequality …

A simpler approach to the characterization of vanishing conditional mutual information is
presented. Some remarks are given as well. More specifically, relating the conditional …

We present a review of entropy properties for classical and quantum systems including
Shannon entropy, von Neumann entropy, Rényi entropy, and Tsallis entropy. We discuss …

We describe recent work of Kim [J. Math. Phys. 53, 122204 (2012)] to show that operator
convex functions associated with quasi-entropies can be used to prove a large class of new …

In this thesis, I will discuss how information-theoretic arguments can be used to produce
sharp bounds in the studies of quantum many-body systems. The main advantage of this …