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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Acknowledgments
This work is supported by the National Basic Research Program of China (2015CB921002) and the National Natural Science Foundation of China Grant Nos. 11175094, 91221205 and 11275131.
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Chen, B., Cao, NP., Fei, SM. et al. Variance-based uncertainty relations for incompatible observables. Quantum Inf Process 15, 3909–3917 (2016). https://doi.org/10.1007/s11128-016-1365-1
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DOI: https://doi.org/10.1007/s11128-016-1365-1