On 14th April, Dr. Yukimi Goto gave an introduction to trace inequalities and related topics in our journal club of the Information Theory Study Group. She started from a simple counter example of the triangle inequality for operators on Hilbert space, and introduced density matrices, von Neumann entropy and Wigner-Yanase skew information. Then, she explained the concept of jointly convex/concave functions and Wigner-Yanase-Dyson-Lieb theorem, and discussed the sub-additivity and strong sub-additivity of von Neumann entropy and its generalizations. Thank you, Goto-san, for interesting talk!

Reported by Akinori Tanaka