ON GENERALIZATION OF QUANTUM MUTUAL ENTROPY BY USING LIFTINGS

摘要

A lifting is a continuous map from a system to a compound system, and it is useful to describe several physical processes. Ohya and Accardi introduced the notion of it and characterized liftings~1. In this paper, we define a generalized quantum mutual entropy through liftings satisfying some conditions. In some cases, it satisfies the Shannon inequality and some cases not.