Generalized Relative Entropies and One-Shot Information Theory

Event: 
IICQI 2012
Speaker(s): 
Talk type: 
Keynote
Abstract: 

We introduce two relative entropy quantities called the minand max-relative entropies and discuss their properties and operational meanings. These relative entropies act as parent quantities for tasks such as data compression, information transmission and entanglement manipulation in one-shot information theory. Moreover, they lead us to define entanglement monotones which have interesting operational interpretations..

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