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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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