Simple explanation of Landauer's bound and its ineffectiveness for multivalued logic
Statistical Mechanics
2021-01-20 v2 Materials Science
Information Theory
Mathematical Physics
math.IT
math.MP
Abstract
We discuss, using recent results on the Landauer's bound in multivalued logic, the difficulties and pitfalls of how to apply this principle. The presentation is based on Szilard's version of Maxwell's demon experiment and use of equilibrium Thermodynamics. Different versions of thermodynamical/mechanical memory are presented - one-hot encoding version and the implementation based on reversed Szilard's experiment. Relation of the Landauer's principle to Galois connection is explained in detail.
Keywords
Cite
@article{arxiv.2001.00942,
title = {Simple explanation of Landauer's bound and its ineffectiveness for multivalued logic},
author = {Radosław A. Kycia and Agnieszka Niemczynowcz},
journal= {arXiv preprint arXiv:2001.00942},
year = {2021}
}
Comments
13 pages, 8 figures