Thermodynamic Cost of Reliability and Low Temperatures: Tightening Landauer's Principle and the Second Law

By Dominik Janzing, P. Wocjan, R. Zeier, Rubino Geiß, T. Beth. 2000

262 citations recorded by the source corpus.

Landauer's principle states that the erasure of one bit of information requires thefree energy kT ln 2. We argue that the reliability of the bit erasure process isbounded by the accuracy inherent in the statistical state of the energy source(“the resources”) driving the process. We develop a general framework describingthe “thermodynamic worth” of the resources with respect to reliable bit erasureor good cooling. This worth turns out to be given by the distinguishability of theresource's state from its equilibrium state in the sense of a statistical inferenceproblem. Accordingly, Kullback—Leibler relative information is a decisivequantity for the “worth” of the resource's state. Due to the asymmetry of relativeinformation, the reliability of the erasure process is bounded rather by the relativeinformation of the equilibrium state with respect to the actual state than by therelative information of the actual state with respect to the equilibrium state (whichis the free energy up to constants).

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ad630a88ab2a5f390d12120a1dc2ceb381996129

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

A mathematical theory of resources (2014, unknown): “-Araki-Yanase theorem [2,36]. The resource theories of athermality and nonuniformity provide a framework for describing many results in quantum thermodynamics, including the limits to work extraction [31,13,28,46], Landauer’s solution to the Maxwell demon problem [25], and the status of the second l”
Quantum resource theories (2018, background): “As first introduced by Janzing et al. (2000) and later extended in Brandão et al. (2013) and Horodecki and Oppenheim (2013a), the free operations in the QRT of athermality consist of all physical dynamics that conserve total energy as the system exchanges heat with the bath.”
Quantum thermodynamics (2015, unknown): “An alternative single shot approach is the resource theory approach to quantum thermodynamics [143], where recent contributions include references [9,111,142,144– 148].”
Fundamental limitations for quantum and nanoscale thermodynamics (2011, background): “We thus consider a paradigm where extraction of work, and other operations must be done using energy conserving operations[16], so that any energy which is transferred to or from the resource system and heat bath, is transferred from or to the system which stores work.”
The second laws of quantum thermodynamics (2013, methodology): “In particular, we consider thermal operations (2, 21, 23) where we allow the systems of interest ρ to be coupled to a thermal reservoir ρR in the thermal state at temperature T, and we allow arbitrary unitaries between the system, working body, and reservoir which conserve energy.”
The resource theory of informational nonequilibrium in thermodynamics (2013, methodology): “The problem of state conversion in thermodynamics was first considered from a quantum information perspective in (Janzing et al., 2000), where some necessary conditions on state conversion were derived.”
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy (2014, methodology): “They are all quantum operations E of the form 27,28 : where U is a joint unitary on system and environment.”