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arXiv · 1401.3280

Groupoid Semantics for Thermal Computing

Krzysztof Bar·Jamie Vicary
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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.

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Krzysztof Bar, Jamie Vicary. 2014-01-14. Groupoid Semantics for Thermal Computing. https://arxiv.org/abs/1401.3280

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