Evaluating the quantum optimal biased bound in a unitary evolution process

Autor: Shoukang Chang, Wei Ye, Xuan Rao, Huan Zhang, Liqing Huang, Mengmeng Luo, Yuetao Chen, Qiang Ma, Yunbin Yan, Lu Wang, Shaoyan Gao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Physics, Vol 61, Iss , Pp 107741- (2024)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2024.107741
Popis: Seeking the available precision limit of unknown parameters is a significant task in quantum parameter estimation. One often resorts to the widely utilized quantum Cramér–Rao bound (QCRB) based on unbiased estimators to finish this task. Nevertheless, most actual estimators are usually biased in the limited number of trials. For this reason, we introduce two effective error bounds for biased estimators based on a unitary evolution process in the framework of the quantum optimal biased bound. Furthermore, we show their estimation performance by two specific examples of the unitary evolution process, including the phase encoding and the SU(2) interferometer process. Our findings will provide an useful guidance for finding the precision limit of unknown parameters.
Databáze: Directory of Open Access Journals