Maximum likelihood estimation for a group of physical transformations
量子物理
2025-04-02 v1
摘要
The maximum likelihood strategy to the estimation of group parameters allows to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide a deep insight into the general structure underlying optimal quantum estimation strategies. The entanglement between representation spaces and multiplicity spaces of the group action appear to be the unique kind of entanglement which is really useful for the optimal estimation of group parameters.
引用
@article{arxiv.quant-ph/0507007,
title = {Maximum likelihood estimation for a group of physical transformations},
author = {G. Chiribella and G. M. D'Ariano and P. Perinotti and M. F. Sacchi},
journal= {arXiv preprint arXiv:quant-ph/0507007},
year = {2025}
}
备注
20 pages, no figures. World Scientific class style. Contribution for the Proceedings of the Workshop on "Quantum entanglement in physical and information sciences", held in Pisa, December 14-18, 2004