On the First Order Asymptotic Theory of Quantum Estimation

Abstract

We give a rigorous treatment on the foundation of the first order asymptotic theory of quantum estimation, with tractable and reasonable regularity conditions. Different from past works, we do not use Fisher information nor MLE, and an optimal estimator is constructed based on locally unbiased estimators. Also, we treat state estimation by local operations and classical communications (LOCC), and estimation of quantum operations.

dedicated to Prof. Masafumi Akahira

Cited by in corpus (2)

• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• On metric of quantum channel spaces