Variance-based uncertainty relations for incompatible observables

Bin Chen, Ning-Ping Cao, Shao-Ming Fei, and Gui-Lu Long

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Submission date: 11. Jul. 2016
Pages: 13
published in: Quantum information processing, 15 (2016) 9, p. 3909-3917 
DOI number (of the published article): 10.1007/s11128-016-1365-1
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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.