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Variance-based uncertainty relations for incompatible observables

arXiv:1608.06075 · doi:10.1007/s11128-016-1365-1

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 Schrödinger-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.

11 pages, 3 figures