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Tighter sum uncertainty relations via variance and Wigner–Yanase skew information for N incompatible observables

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Abstract

We study the sum uncertainty relations based on variance and skew information for arbitrary finite N quantum mechanical observables. We derive new uncertainty inequalities which improve the exiting results about the related uncertainty relations. Detailed examples are provided to illustrate the advantages of our uncertainty inequalities.

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Acknowledgements

This work is supported by NSFC (Grant No. 12075159), Beijing Natural Science Foundation (Z190005), Academy for Multidisciplinary Studies, Capital Normal University, the Academician Innovation Platform of Hainan Province, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (No. SIQSE202001) and Beijing Municipal Commission of Education (KZ201810028042).

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Qing-Hua Zhang & Shao-Ming Fei

  2. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Qing-Hua Zhang
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  2. Shao-Ming Fei
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Correspondence to Qing-Hua Zhang or Shao-Ming Fei.

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Zhang, QH., Fei, SM. Tighter sum uncertainty relations via variance and Wigner–Yanase skew information for N incompatible observables. Quantum Inf Process 20, 384 (2021). https://doi.org/10.1007/s11128-021-03332-5

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  • DOI: https://doi.org/10.1007/s11128-021-03332-5

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