An Isaac Newton Institute Workshop

Quantum Statistics - quantum measurements, estimation and related topics

Differetial geometry of quantum channel estimation

Author: Akio Fujiwara (Osaka University)

Abstract

Since almost every quantum protocol assumes a priori knowledge of the behavoir of the quantum channel under consideration, there is no doubt that identifying the channel is of fundamental importance in quantum information theory. In this talk, I will review some recent developments in quantum channel estimation theory, putting emphasis on an active interplay between noncommutative statistics and information geometry.