Large deviation principle for moment map estimation
Mathematical Physics
2024-09-04 v2 math.MP
Probability
Quantum Physics
Abstract
We consider a family of positive operator valued measures associated with representations of compact connected Lie groups. For many independent copies of a single state and a tensor power representation we show that the observed probability distributions converge to the value of the moment map. For invertible states we prove that the measures satisfy the large deviation principle with an explicitly given rate function.
Cite
@article{arxiv.2004.14504,
title = {Large deviation principle for moment map estimation},
author = {Alonso Botero and Matthias Christandl and Péter Vrana},
journal= {arXiv preprint arXiv:2004.14504},
year = {2024}
}
Comments
v1: 24 pages. See related work today by Franks and Walter; v2: updated to match published version