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NUMBER  
AUTHOR Lee, Soojoon,Jeong, Kabgyun
TITLE Conditional quantum entropy power inequality for d-level quantum systems
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FILE  
JOURNAL JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018
ABSTRACT We propose an extension of the quantum entropy power inequality for finite dimensional quantum systems, and prove a conditional quantum entropy power inequality by using the majorization relation as well as the concavity of entropic functions also given by Audenaert et al (2016 J. Math. Phys. 57 052202). Here, we make particular use of the fact that a specific local measurement after a partial swap operation (or partial swap quantum channel) acting only on Quite dimensional bipartite subsystems does not affect the majorization relation for the conditional output states when a separable ancillary subsystem is involved. We expect our conditional quantum entropy power inequality to be useful, and applicable in bounding and analyzing several capacity problems for quantum channels.
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