PIRSA:12050047 Scientific Series Mathematical physics

DOI10.48660/12050047

Series: Perimeter Institute Quantum Discussions

Scholz, V. (2012). The Smooth Entropy Formalism on Operator Algebras and Applications to the Security Analysis of CV Crypto Schemes . Perimeter Institute. https://pirsa.org/12050047

Scholz, Volkher. The Smooth Entropy Formalism on Operator Algebras and Applications to the Security Analysis of CV Crypto Schemes . Perimeter Institute, May. 30, 2012, https://pirsa.org/12050047 

@misc{ pirsa_PIRSA:12050047,
  doi = {10.48660/12050047},
  url = {https://pirsa.org/12050047},
  author = {Scholz, Volkher},
  keywords = {Mathematical physics},
  language = {en},
  title = {The Smooth Entropy Formalism on Operator Algebras and Applications to the Security Analysis of CV Crypto Schemes },
  publisher = {Perimeter Institute},
  year = {2012},
  month = {may},
  note = {PIRSA:12050047 see, \url{https://pirsa.org}}
}

Abstract

We discuss the extension of the smooth entropy formalism to arbitrary physical systems with no bound on the number of degrees of freedom, comparing them with already existing notions of entropy for infinite-dimensional systems. Our analysis is both conceptual as well as based on operational primitives, for example we ask for the ability to perform privacy amplification against any kind of quantum side information.  As an application, we show how to employ a version of the entropic uncertainty relation to provide a security analysis for continuous variable quantum key distribution protocols.   based on arXiv:1107.5460, 1112.2179. This is joint work with Mario Berta, Fabian Furrer as well as with Torsten Franz, Marco Tomamichel, Reinhard Werner

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