On Asymptotic Quantum Statistical Inference
Quantum Physics
2023-05-02 v3 Statistics Theory
Statistics Theory
Abstract
We study asymptotically optimal statistical inference concerning the unknown state of identical quantum systems, using two complementary approaches: a "poor man's approach" based on the van Trees inequality, and a rather more sophisticated approach using the recently developed quantum form of LeCam's theory of Local Asymptotic Normality.
Cite
@article{arxiv.1112.2078,
title = {On Asymptotic Quantum Statistical Inference},
author = {Richard D. Gill and Madalin Guta},
journal= {arXiv preprint arXiv:1112.2078},
year = {2023}
}
Comments
34 pages. to appear in `From Probability to Statistics and Back: High-Dimensional Models and Processes'. A Festschrift in Honor of Jon Wellner. Edited by Banerjee, M., Bunea, F., Huang, J., Maathuis, M. and Koltchinskii, V. extension of a previous paper arXiv:math/0512443