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Quantum Information and Computation     ISSN: 1533-7146      published since 2001
Vol.12 No.5&6  May 2012

An intuitive proof of the data processing inequality (pp0432-0441)
          
Normand J. Beaudry and Renato Renner
         
doi: https://doi.org/10.26421/QIC12.5-6-4

Abstracts: The data processing inequality (DPI) is a fundamental feature of information theory. Informally it states that you cannot increase the information content of a quantum system by acting on it with a local physical operation. When the smooth min-entropy is used as the relevant information measure, then the DPI follows immediately from the definition of the entropy. The DPI for the von Neumann entropy is then obtained by specializing the DPI for the smooth min-entropy by using the quantum asymptotic equipartition property (QAEP). We provide a short proof of the QAEP and therefore obtain a self-contained proof of the DPI for the von Neumann entropy.
Key words: Entropy, Information Theory

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