论文标题
改善统一不确定性关系
Improved unitary uncertainty relations
论文作者
论文摘要
我们通过重新验证不确定性关系的数学基础，为任意两个和更多统一操作员提供了强大的基于方差的不确定性关系。这是通过使用支架和凸功能的方法来增强著名的Cauchy-Schwarz不平等的来实现。统一的不确定性关系的表现优于几个强大的统一不确定性关系，尤其是最近的最佳下限，例如[Phys。莱特牧师。 120，230402（2018）]和[Phys。 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)].
