Efficiency of estimators for locally asymptotically normal quantum statistical models
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909386898669568 |
|---|---|
| author | Fujiwara, Akio Yamagata, Koichi |
| author_facet | Fujiwara, Akio Yamagata, Koichi |
| contents | We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This theorem enables us to study the asymptotic efficiency of quantum estimators such as quantum regular estimators and quantum minimax estimators, leading to a universal tight lower bound beyond the i.i.d. assumption. This formulation complements the theory of quantum contiguity developed in the previous paper [Fujiwara and Yamagata, Bernoulli 26 (2020) 2105-2141], providing a solid foundation of the theory of weak quantum local asymptotic normality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_00832 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Efficiency of estimators for locally asymptotically normal quantum statistical models Fujiwara, Akio Yamagata, Koichi Quantum Physics Statistics Theory We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This theorem enables us to study the asymptotic efficiency of quantum estimators such as quantum regular estimators and quantum minimax estimators, leading to a universal tight lower bound beyond the i.i.d. assumption. This formulation complements the theory of quantum contiguity developed in the previous paper [Fujiwara and Yamagata, Bernoulli 26 (2020) 2105-2141], providing a solid foundation of the theory of weak quantum local asymptotic normality. |
| title | Efficiency of estimators for locally asymptotically normal quantum statistical models |
| topic | Quantum Physics Statistics Theory |
| url | https://arxiv.org/abs/2209.00832 |