Abstract
This chapter gives a taste of the applications of the mathematical toolbox discussed in this book. The discussion of binary hypothesis testing is crucial because it provides an operational interpretation for the two quantum generalizations of the Rényi divergence we treated in this book. This belatedly motivates our specific choice. Entropic uncertainty relations provide a compelling application of conditional Rényi entropies and their properties, in particular the duality relation. Finally, smooth entropies were originally invented in the context of cryptography, and the Leftover Hashing Lemma reveals why this definition has proven so useful.
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Tomamichel, M. (2016). Selected Applications. In: Quantum Information Processing with Finite Resources. SpringerBriefs in Mathematical Physics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-21891-5_7
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DOI: https://doi.org/10.1007/978-3-319-21891-5_7
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