Publication details

Landauer's Principle as a Special Case of Galois Connection

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KYCIA Radoslaw Antoni

Year of publication 2018
Type Article in Periodical
Magazine / Source Entropy
MU Faculty or unit

Faculty of Science

Keywords Landauer's principle; entropy; Galois connection; the second law of thermodynamics
Description It is demonstrated how to construct a Galois connection between two related systems with entropy. The construction, called the Landauer's connection, describes coupling between two systems with entropy. It is straightforward and transfers changes in one system to the other one, preserving ordering structure induced by entropy. The Landauer's connection simplifies the description of the classical Landauer's principle for computational systems. Categorification and generalization of the Landauer's principle opens the area of modeling of various systems in presence of entropy in abstract terms.
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