Thermodynamic cost of reliability and low temperatures: Tightening Landauer's principle and the second law
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Publication:5941836
DOI10.1023/A:1026422630734zbMATH Open0986.81015arXivquant-ph/0002048OpenAlexW1580981762MaRDI QIDQ5941836
Author name not available (Why is that?)
Publication date: 4 September 2001
Published in: (Search for Journal in Brave)
Abstract: Landauer's principle states that the erasure of one bit of information requires the free energy kT ln 2. We argue that the reliability of the bit erasure process is bounded by the accuracy inherent in the statistical state of the energy source (`the resources') driving the process. We develop a general framework describing the `thermodynamic worth' of the resources with respect to reliable bit erasure or good cooling. This worth turns out to be given by the distinguishability of the resource's state from its equilibrium state in the sense of a statistical inference problem. Accordingly, Kullback-Leibler relative information is a decisive quantity for the `worth' of the resource's state. Due to the asymmetry of relative information, the reliability of the erasure process is bounded rather by the relative information of the equilibrium state wit respect to the actual state than by the relative information of the actual state with respect to the equilibrium state (which is the free energy up to constants).
Full work available at URL: https://arxiv.org/abs/quant-ph/0002048
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