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Generalized Relative Entropies, Entanglement Monotones and One-Shot Information Theory



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Recording Details

Speaker(s): 
Nilanjana Datta
Scientific Areas: 
Quantum Information
Collection/Series: 
Perimeter Institute Quantum Discussions
Subjects: 
Quantum Information
PIRSA Number: 
13060003

Abstract

We introduce two relative entropy quantities called the min- and 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.