Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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INEQUALITIES OF OPERATOR VALUED QUANTUM SKEW INFORMATION

  • Choi, Byoung Jin (Department of Mathematics Education Jeju National University) ;
  • Lee, Mi Ra (Department of Mathematics Chungbuk National University)
  • Received : 2019.12.20
  • Accepted : 2020.10.16
  • Published : 2021.01.31
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Abstract

In this paper, we study two operator-valued inequalities for quantum Wigner-Yanase-Dyson skew information related to module operators. These are extended results of the trace inequalities for Wigner-Yanase-Dyson skew information. Moreover, we study a sufficient condition to prove an uncertainty relation for operator-valued generalized quantum Wigner-Yanase-Dyson skew information related to module operators and a pair of functions (f, g). Also, we obtain several previous results of scalar-valued cases as a consequence of our main result.

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References

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