Improved unitary uncertainty relations
Improved unitary uncertainty relations
复制标题
改进的单一不确定性关系
DOI：
10.1007/s11128-021-03396-3
复制
发表时间：
2022
影响因子：
2.5
通讯作者：
Naihuan Jing
中科院分区：
文献类型：
--
作者：
Xiaoli Hu;Naihuan Jing
通过重新检查不确定性关系的数学基础，我们得出任意两个或更多酉算子的基于方差的强不确定性关系。这是通过使用括号和凸函数的方法强化著名的柯西-施瓦茨不等式来实现的。酉不确定性关系优于几个强酉不确定性关系，特别是优于一些最近的最佳下界，例如 [Phys.莱特牧师。 120, 230402 (2018)] 和 [物理。 Rev. A. 100, 022116 (2019)]。
We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of the uncertainty relation. This is achieved by strengthening the celebrated Cauchy–Schwarz inequality using a method of brackets and convex functions. The unitary uncertainty relations outperform several strong unitary uncertainty relations, notably better than some recent best lower bounds such as [Phys. Rev. Lett. 120, 230402 (2018)] and [Phys. Rev. A. 100, 022116 (2019)].