Physics of the Shannon limits

  title={Physics of the Shannon limits},
  author={N. Merhav},
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… Expand
2 Citations


Dissipation: the phase-space perspective.
Nonequilibrium fluctuation theorems in the presence of local heating.
Elements of Information Theory
Illustrative example of the relationship between dissipation and relative entropy.
  • J. Horowitz, C. Jarzynski
  • Mathematics, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
Mutual information and minimum mean-square error in Gaussian channels
Nonequilibrium Equality for Free Energy Differences
Statistical physics of particles