4 papers · 1 filter
Conditional contraction coefficients and their applications to quantum networks
Christoph Hirche, Ian George, Theshani Nuradha +1
Contraction coefficients quantify the loss of distinguishability induced by a channel and provide a strong form of the data-processing inequality. While standard contraction coeffi…
Non-Linear Strong Data-Processing for Quantum Hockey-Stick Divergences
Theshani Nuradha, Ian George, Christoph Hirche
Data-processing is a desired property of classical and quantum divergences and information measures. In information theory, the contraction coefficient measures how much the distin…
Quantum Doeblin Coefficients: Interpretations and Applications
Ian George, Christoph Hirche, Theshani Nuradha +1
In classical information theory, the Doeblin coefficient of a classical channel provides an efficiently computable upper bound on the total-variation contraction coefficient of the…
Quantum Doeblin coefficients: A simple upper bound on contraction coefficients
Christoph Hirche
Contraction coefficients give a quantitative strengthening of the data processing inequality. As such, they have many natural applications whenever closer analysis of information p…