Groupoid Semantics for Thermal Computing
Logic in Computer Science
2014-01-17 v2
Abstract
A groupoid semantics is presented for systems with both logical and thermal degrees of freedom. We apply this to a syntactic model for encryption, and obtain an algebraic characterization of the heat produced by the encryption function, as predicted by Landauer's principle. Our model has a linear representation theory that reveals an underlying quantum semantics, giving for the first time a functorial classical model for quantum teleportation and other quantum phenomena.
Keywords
Cite
@article{arxiv.1401.3280,
title = {Groupoid Semantics for Thermal Computing},
author = {Krzysztof Bar and Jamie Vicary},
journal= {arXiv preprint arXiv:1401.3280},
year = {2014}
}
Comments
We describe a groupoid model for thermodynamic computation, and a quantization procedure that turns encrypted communication into quantum teleportation. Everything is done using higher category theory