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http://dx.doi.org/10.4134/BKMS.b191089

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 59-70 More about this Journal
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.
Keywords
Uncertainty relation; Wigner-Yanase-Dyson skew information; module operator;
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