Uncertainty relations with the generalized Wigner–Yanase–Dyson skew information

  • Yajing Fan
  • Huaixin Cao
  • Wenhua Wang
  • Huixian Meng
  • Liang Chen


The uncertainty principle in quantum mechanics is a fundamental relation with different forms, including Heisenberg’s uncertainty relation and Schrödinger’s uncertainty relation. We introduce the generalized Wigner–Yanase–Dyson correlation and the related quantities. Various properties of them are discussed. Finally, we establish several generalizations of uncertainty relation expressed in terms of the generalized Wigner–Yanase–Dyson skew information.


Uncertainty relation Generalized Wigner–Yanase–Dyson correlation Generalized Wigner–Yanase–Dyson skew information 



This subject was supported by the SRP for the Ningxia Universities (No. NGY2017156).


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and Information ScienceNorth Minzu UniversityYinchuanChina
  2. 2.School of Mathematics and Information ScienceShaanxi Normal UniversityXi’anChina
  3. 3.School of Ethnic EducationShaanxi Normal UniversityXi’anChina
  4. 4.Theoretical Physics Division, Chern Institute of MathematicsNankai UniversityTianjinChina
  5. 5.Department of MathematicsChangji CollegeChangjiChina

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