Enhanced quantum channel uncertainty relations by skew information
Quantum Physics
2023-10-11 v1
Abstract
By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables' coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.
Cite
@article{arxiv.2310.06065,
title = {Enhanced quantum channel uncertainty relations by skew information},
author = {Xiaoli Hu and Naihong Hu and Bing Yu and Naihuan Jing},
journal= {arXiv preprint arXiv:2310.06065},
year = {2023}
}