### A new definition for the quantum conditional Rényi entropy

Dupuis, F *(Aarhus Universitet)*

Thursday 05 September 2013, 11:30-12:30

Seminar Room 1, Newton Institute

#### Abstract

Very recently, a new definition for the quantum conditional Rényi entropy has been proposed. Unlike previous definitions, it satisfies most of the basic properties one would expect from a conditional entropy, and it coincides with other widely used entropies (min-, max- and collision entropy) for appropriate choices of parameters. It has also found an application to prove a strong converse for coding over entanglement breaking channels. I will present these recent developments and try to show why this might be the "right" definition.

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