Thermodynamics of Information Processing,

Modern information-theoretic approaches provide a promising avenue for extending the laws of thermodynamics to the nano scale. Using such techniques, we derive a fundamental minimal thermodynamic cost of information processing. Our result is expressed in terms of a new measure of information, the coherent relative entropy, which obeys natural properties and reveals additional structure in the family of one-shot entropy measures. Our approach sheds light on the role of the observer in thermodynamics, thus allowing to systematically analyze Maxwell demon-type situations, and providing a step forward in understanding the extent of the universality of thermodynamics. We illustrate our results using a simple optomechanical setup.   A preprint is available at: https://arxiv.org/abs/1709.00506