Shannon Meets Carnot: Mutual Information Via Thermodynamics

Details Shannon Meets Carnot: Mutual Information Via Thermodynamics Shannon Meets Carnot: Mutual Information Via Thermodynamics

2008-06-19

arxiv.org/abs/0806.3133v1

Computer Science

Information Theory

Scientific paper

In this contribution, the Gaussian channel is represented as an equivalent thermal system allowing to express its input-output mutual information in terms of thermodynamic quantities. This thermodynamic description of the mutual information is based upon a generalization of the $2^{nd}$ thermodynamic law and provides an alternative proof to the Guo-Shamai-Verd\'{u} theorem, giving an intriguing connection between this remarkable theorem and the most fundamental laws of nature - the laws of thermodynamics.

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