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arXiv · 1608.06075

Variance-based uncertainty relations for incompatible observables

Bin Chen·Ning-Ping Cao·Shao-Ming Fei·Gui-Lu Long
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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.

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Bin Chen, Ning-Ping Cao, Shao-Ming Fei, Gui-Lu Long. 2016-08-22. Variance-based uncertainty relations for incompatible observables. https://doi.org/10.1007/s11128-016-1365-1

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