### One-shot entropies from thermodynamics

Renner, R *(ETH Zürich)*

Thursday 05 December 2013, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

Long before their use in information theory, entropies have been introduced in thermodynamics. One may therefore wonder whether thermodynamics could also provide some guidance for the definition of one-shot entropies. It turns out that this is indeed the case: starting from an operational definition of entropy for thermal systems in the one-shot regime, we obtain a sensible entropy measure with applications in one-shot information theory. In particular, it automatically satisfies the data processing inequality and a chain rule. In my talk, I will show some recent advances as well as challenges of this research programme.

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