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Related papers: The Minimal Work Cost of Information Processing

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Information erasure at the molecular scale during the depolymerization of copolymers is shown to require a minimum entropy production in accordance with Landauer's principle and as a consequence of the second law of thermodynamics. This…

Statistical Mechanics · Physics 2015-06-16 David Andrieux , Pierre Gaspard

It is widely accepted that information erasure entails heat dissipation. Here we analyze asymmetric memory states to show that this energy cost can be shuffled around to any step in a write-erase cycle and need not accompany the logically…

Statistical Mechanics · Physics 2007-05-23 M. Maissam Barkeshli

We present an experiment in which a one-bit memory is constructed, using a system of a single colloidal particle trapped in a modulated double-well potential. We measure the amount of heat dissipated to erase a bit and we establish that in…

Statistical Mechanics · Physics 2019-09-06 Antoine Bérut , Artyom Petrosyan , Sergio Ciliberto

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

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…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Pawel Wocjan , Robert Zeier , Rubino Geiss , Thomas Beth

Landauer's "principle" claims that erasing one bit of information necessarily dissipates at least Tln2 of heat into the surroundings, making a possibly logically irreversible operation also thermodynamically irreversible. It is commonly…

General Physics · Physics 2024-12-02 Didier Lairez

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we propose an information-theoretic formalization of bounded rational decision-making…

Statistics Theory · Mathematics 2015-06-04 Pedro A. Ortega , Daniel A. Braun

We present the minimal energy costs for the measurement and the information erase, using only the Helmholtz free energy and the entanglement of formation. The entanglement of formation appears in the form of difference which indicates the…

Quantum Physics · Physics 2013-11-07 Hiroyasu Tajima

This letter exposes a tight connection between the thermodynamic efficiency of information processing and predictive inference. A generalized lower bound on dissipation is derived for partially observable information engines which are…

Statistical Mechanics · Physics 2020-02-12 Susanne Still

Despite its simplicity, it seems to my best of knowledge that the possibly simplest approach towards deriving equations governing irreversible thermodynamics from gas-kinetic considerations within the framework of classical mechanics has…

Classical Physics · Physics 2016-08-22 Rudolf A. Hanel

The minimum heat cost of computation is subject to bounds arising from Landauer's principle. Here, I derive bounds on finite modelling -- the production or anticipation of patterns (time-series data) -- by devices that model the pattern in…

Statistical Mechanics · Physics 2021-06-21 Andrew J. P. Garner

An important step to incorporate information in the second law of thermodynamics was done by Landauer, showing that the erasure of information implies an increase in heat. Most attempts to justify Landauer's erasure principle are based on…

Statistical Mechanics · Physics 2023-04-04 Xavier Oriols , Hrvoje Nikolić

Recent advances in nonequilibrium statistical physics have provided unprecedented insight into the thermodynamics of dynamic processes. The author recently used these advances to extend Landauer's semi-formal reasoning concerning the…

Statistical Mechanics · Physics 2016-07-01 David H. Wolpert

A central result that arose in applying information theory to the stochastic thermodynamics of nonlinear dynamical systems is the Information-Processing Second Law (IPSL): the physical entropy of the universe can decrease if compensated by…

Statistical Mechanics · Physics 2017-06-07 Alexander B. Boyd , Dibyendu Mandal , Paul M. Riechers , James P. Crutchfield

Since reversible computing requires preservation of all information throughout the entire computational process, this implies that all errors that appear as a result of the interaction of the information-carrying system with uncontrolled…

Quantum Physics · Physics 2009-11-13 Lev B. Levitin , Tommaso Toffoli

Erasing memory is a fundamental operational task in quantum information processing, governed by Landauer's principle, which links information loss to thermodynamic work. We introduce and analyze assisted quantum erasure, where correlations…

Quantum Physics · Physics 2025-12-08 Mir Alimuddin , Nathan Shettell , Raja Yehia , Antonio Acín , Federico Centrone

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

Modern digital electronics support remarkably reliable computing, especially given the challenge of controlling nanoscale logical components that interact in fluctuating environments. However, we demonstrate that the high-reliability limit…

Statistical Mechanics · Physics 2020-10-07 P. M. Riechers , A. B. Boyd , G. W. Wimsatt , J. P. Crutchfield

We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes. We find that the extracted work, which is known to be bounded from above by the mutual…

Statistical Mechanics · Physics 2015-09-02 Jaegon Um , Haye Hinrichsen , Chulan Kwon , Hyunggyu Park

By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, $w_{\rm irr}$, and irreversible entropy production, $\Delta_i s$, within the stochastic energetics framework. Restating the second law of…

Statistical Mechanics · Physics 2022-12-21 Pedro V. Paraguassú , Lucianno Defaveri , Silvio M. Duarte Queirós , Welles A. M. Morgado