Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A RELATIVE RÉNYI OPERATOR ENTROPY

  • MIRAN, JEONG (Department of Mathematics, Chungbuk National University) ;
  • SEJONG, KIM (Department of Mathematics, Chungbuk National University)
  • Received : 2022.07.29
  • Accepted : 2022.10.21
  • Published : 2023.01.30
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Abstract

We define an operator version of the relative Rényi entropy as the generalization of relative von Neumann entropy, and provide its fundamental properties and the bounds for its trace value. Moreover, we see an effect of the relative Rényi entropy under tensor product, and show the sub-additivity for density matrices.

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Acknowledgement

This research was supported by Chungbuk National University Korea National University Development Project (2021).

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