2015/09/23 by Bin Chen, Shao-Ming Fei · 2 citations
Physics and Astronomy · #quant-ph
published as Scientific Reports 5(2015)14238 · 10 pages
arxiv created 2015/09/23 · arxiv updated 2015/09/24
We formulate uncertainty relations for arbitrary N observables. Two uncertainty inequalities are presented in terms of the sum of variances and standard deviations, respectively. The lower bounds of the corresponding sum uncertainty relations are explicitly derived. These bounds are shown to be tighter than the ones such as derived from the uncertainty inequality for two observables [Phys. Rev. Lett. 113, 260401 (2014)]. Detailed examples are presented to compare among our results with some existing ones.