Work

Sum uncertainty relations for arbitrary N incompatible observables

Year: 2015

Type: article

Abstract: 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.

Source: Scientific Reports

DOI: 10.1038/srep14238

Authors: Bin Chen, Shao-Ming Fei

Institutions: Capital Normal University, Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

Funder: National Natural Science Foundation of China