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Paper Abstract and Keywords
Presentation 2014-05-13 16:40
A duality relation connecting different quantum generalizations of the conditional R'enyi entropy
Marco Tomamichel (NUS), Mario Berta (ETH), Masahito Hayashi (Nagoya Univ.,)
Abstract (in Japanese) (See Japanese page) 
(in English) Recently a new quantum generalization of the R'enyi divergence and the corresponding conditional R'enyi entropies was proposed. Here we report on a surprising relation between conditional R'enyi entropies based on this new generalization and conditional R'enyi entropies based on the quantum relative R'enyi entropy that was used in previous literature. This generalizes the well-known duality relation H(A|B) + H(A|C) = 0 for tripartite pure states to R'enyi entropies of two different kinds. As a direct application, we prove a collection of inequalities that relate different conditional R'enyi entropies.
Keyword (in Japanese) (See Japanese page) 
(in English) duality relation / R'enyi entropy / / / / / /  
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Conference Information
Committee QIT  
Conference Date 2014-05-12 - 2014-05-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagoya Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2014-05-QIT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A duality relation connecting different quantum generalizations of the conditional R'enyi entropy 
Sub Title (in English)  
Keyword(1) duality relation  
Keyword(2) R'enyi entropy  
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1st Author's Name Marco Tomamichel  
1st Author's Affiliation National university of singapore (NUS)
2nd Author's Name Mario Berta  
2nd Author's Affiliation Technische Hochschule Zurich (ETH)
3rd Author's Name Masahito Hayashi  
3rd Author's Affiliation Nagoya University (Nagoya Univ.,)
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Date Time 2014-05-13 16:40:00 
Presentation Time 20 minutes 
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