2017/01/31 by Qiu-Cheng Song, Jun-Li Li, Guang-Xiong Peng +1 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1038/srep44764
published as Scientific Reports 7,44764 (2017) · Updated version with minor corrections
arxiv created 2017/05/24 · arxiv updated 2017/05/25
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 the uncertainty relation for two observables derived by Maccone and Pati [Phys. Rev. Lett. \bf113, 260401 (2014)]. 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.