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Physics of the Shannon Limits

2010
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IEEE Transactions on Information Theory
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We provide a simple physical interpretation, in the context of the second law of thermodynamics, to the information inequality (a.k.a. the Gibbs' inequality, which is also equivalent to the log-sum inequality), asserting that the relative entropy between two probability distributions cannot be negative. Since this inequality stands at the basis of the data processing theorem (DPT), and the DPT in turn is at the heart of most, if not all, proofs of converse theorems in Shannon theory, it is

doi:10.1109/tit.2010.2053867
fatcat:5ti4x4j5ebcgvalitqdajc43r4