A Stronger Multi-observable Uncertainty Relation

作者:Song, Qiu-Cheng; Li, Jun-Li; Peng, Guang-Xiong; Qiao, Cong-Feng*
来源:Scientific Reports, 2017, 7(1): 44764.
DOI:10.1038/srep44764

摘要

Uncertainty relation lies at the heart of quantum mechanics, characterizing the incompatibility of non-commuting observables in the preparation of quantum states. An important question is how to improve the lower bound of uncertainty relation. Here we present a variance-based sum uncertainty relation for N incompatible observables stronger than the simple generalization of an existing uncertainty relation for two observables. Further comparisons of our uncertainty relation with other related ones for spin-1/2 and spin-1 particles indicate that the obtained uncertainty relation gives a better lower bound.