THE MATRIX GEOMETRIC MEANS UNDER PARTIAL TRACE

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Published: Feb 15, 2017
DOI: https://doi.org/10.14403/jcms.2017.30.1.21
Keywords:
geometric mean, partial trace, relative entropy, fidelity
Mathematics Subject Classification (2020):
Primary 15B48, 47N50, 81P15

Main Article Content

Sejong Kim
Department of Mathematics, Chungbuk National University

Abstract





We review a partial trace alternatively defined by the composition of positive linear maps, and see how the partial trace acts on the matrix geometric means. We also study the quantum Tsallis relative entropy under partial trace related with the fidelity.





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Article Details

Issue
Vol. 30 No. 1 (2017)
Section
Articles