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http://dx.doi.org/10.14317/jami.2021.751

RIGHT RÉNYI MEAN AND TENSOR PRODUCT  

HWANG, JINMI (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
JEONG, MIRAN (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
KIM, SEJONG (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
Publication Information
Journal of applied mathematics & informatics / v.39, no.5_6, 2021 , pp. 751-760 More about this Journal
Abstract
We study in this paper the right Rényi mean for a quantum divergence induced from the α - z Rényi relative entropy. Many properties including homogeneity, invariance under permutation, repetition and unitary congruence transformation, and determinantal inequality have been presented. Moreover, we give the identity of two right Rényi means with respect to tensor product.
Keywords
Renyi relative entropy; quantum divergence; right mean; determinantal inequality; tensor product;
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