An improved bound for strong unitary uncertainty relations with refined sequence
Quantum Physics
2020-01-08 v1
Abstract
We derive the lower bound of uncertainty relations of two unitary operators for a class of states based on the geometric-arithmetic inequality and Cauchy-Schwarz inequality. Furthermore, we propose a set of uncertainty relations for three unitary operators. Compared to the known bound introduced in Phys.Rev.A.100,022116(2019), the unitary uncertainty relations bound with our method is tighter, to a certain extent. Meanwhile, some examples are given in the paper to illustrate our conclusions.
Cite
@article{arxiv.1910.12407,
title = {An improved bound for strong unitary uncertainty relations with refined sequence},
author = {Jing Li and Sujuan Zhang and Lu Liu and Chen-Ming Bai},
journal= {arXiv preprint arXiv:1910.12407},
year = {2020}
}