Improved unitary uncertainty relations
Quantum Physics
2022-01-25 v1 Mathematical Physics
math.MP
Abstract
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)].
Keywords
Cite
@article{arxiv.2201.08886,
title = {Improved unitary uncertainty relations},
author = {Xiaoli Hu and Naihuan Jing},
journal= {arXiv preprint arXiv:2201.08886},
year = {2022}
}