Variance-based uncertainty relations for incompatible observables
Quantum Physics
2016-08-23 v1
Abstract
We formulate uncertainty relations for arbitrary finite number of incompatible observables. Based on the sum of variances of the observables, both Heisenberg-type and Schr\"{o}dinger-type uncertainty relations are provided. These new lower bounds are stronger in most of the cases than the ones derived from some existing inequalities. Detailed examples are presented.
Keywords
Cite
@article{arxiv.1608.06075,
title = {Variance-based uncertainty relations for incompatible observables},
author = {Bin Chen and Ning-Ping Cao and Shao-Ming Fei and Gui-Lu Long},
journal= {arXiv preprint arXiv:1608.06075},
year = {2016}
}
Comments
11 pages, 3 figures