On the First Order Asymptotic Theory of Quantum Estimation

Understand

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.