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Stronger Uncertainty Relations Based on Wigner-Yanase Skew Information with Refined Sequence

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Abstract

In this paper, we use the geometric-arithmetic mean inequality to build stronger uncertainty relations based on the Wigner-Yanase skew information of N observables. It is proved that, in comparison to the lower bounds given by Zhang et al. (Phys. Lett. A 387, 127029 2021) and by Zhang and Fei (Quantum Inf. Process. 20(12), 384 2021), our bounds are stronger in any interval. In addition, we construct two descending sequences of lower bounds for the uncertainty relations of N observables. Detailed examples are provided to show the advantages of our bounds.

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Acknowledgements

This work is partially supported by National Natural Science Foundation of China (Grant No. 11601338).

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Authors and Affiliations

  1. College of Sciences, Shanghai Institute of Technology, Shanghai, 201418, China

    Xu Zheng & Qiong Guo

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  1. Xu Zheng
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  2. Qiong Guo
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Contributions

Xu Zheng: Conceptualization, Methodology, Investigation, Validation, Formal analysis, Writing – review & editing. Qiong Guo: Conceptualization, Methodology, Investigation, Validation, Formal analysis, Writing –review & editing.

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Correspondence to Qiong Guo.

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There is no conflict of interest in this paper and the data that support the findings of this study are available from the corresponding author upon reasonable request.

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Zheng, X., Guo, Q. Stronger Uncertainty Relations Based on Wigner-Yanase Skew Information with Refined Sequence. Int J Theor Phys 62, 262 (2023). https://doi.org/10.1007/s10773-023-05521-7

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