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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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참고문헌 (15)
참고문헌 신청
Byoung Jin Choi / 2018 / Inequalities for positive module operators on von Neumann algebras / Journal of Mathematical Physics 59(6):063513
Ali Dadkhah / 2017 / Quantum information inequalities via tracial positive linear maps / Journal of Mathematical Analysis and Applications 447(1):666~680
Ali Dadkhah / 2019 / Noncommutative versions of inequalities in quantum information theory / Analysis and Mathematical Physics 9(4):2151~2169
Jun Ichi Fujii / 2005 / A trace inequality arising from quantum information theory / Linear Algebra and its Applications 400:141~146
Shigeru Furuichi / 2011 / Inequalities for Tsallis relative entropy and generalized skew information / Linear and Multilinear Algebra 59(10):1143~1158
Ali Dadkhah / 2017 / Quantum information inequalities via tracial positive linear maps / Journal of Mathematical Analysis and Applications 447(1):666~680
Ali Dadkhah / 2019 / Noncommutative versions of inequalities in quantum information theory / Analysis and Mathematical Physics 9(4):2151~2169
Jun Ichi Fujii / 2005 / A trace inequality arising from quantum information theory / Linear Algebra and its Applications 400:141~146
Shigeru Furuichi / 2011 / Inequalities for Tsallis relative entropy and generalized skew information / Linear and Multilinear Algebra 59(10):1143~1158
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