Probabilistic Turing Machine and Landauer Limit
Mathematical Physics
2012-06-05 v2 math.MP
Abstract
We show the equivalence between a probabilistic Turing machine and the time evolution of a one-dimensional Ising model, the Glauber model in one dimension, equilibrium positions representing the results of computations of the Turing machine. This equivalence permits to map a physical system on a computational system providing in this way an evaluation of the entropy at the end of computation. The result agrees with Landauer limit.
Cite
@article{arxiv.1206.0207,
title = {Probabilistic Turing Machine and Landauer Limit},
author = {Marco Frasca},
journal= {arXiv preprint arXiv:1206.0207},
year = {2012}
}
Comments
3 pages. Added a reference