Next Article in Journal
Entropy Analysis of Temperature Swing Adsorption for CO2 Capture Using the Computational Fluid Dynamics (CFD) Method
Previous Article in Journal
Infrared Brazing of CoCrFeMnNi Equiatomic High Entropy Alloy Using Nickel-Based Braze Alloys
Previous Article in Special Issue
A Programmable Mechanical Maxwell’s Demon
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Entropy 2019, 21(3), 284;

Thermodynamics of Majority-Logic Decoding in Information Erasure

Division of Interfacial Water and Key Laboratory of Interfacial Physics and Technology, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
Complex Systems and Statistical Mechanics, University of Luxembourg, L-1511 Luxembourg, Luxembourg
Center for Developmental Neurobiology & MRC Center for Neurodevelopmental Disorders, King’s College London, Guy’s Hospital Campus, London SE1 1UL, UK
Author to whom correspondence should be addressed.
Received: 10 January 2019 / Revised: 25 February 2019 / Accepted: 11 March 2019 / Published: 15 March 2019
(This article belongs to the Special Issue Thermodynamics of Information Processing)
Full-Text   |   PDF [435 KB, uploaded 15 March 2019]   |  


We investigate the performance of majority-logic decoding in both reversible and finite-time information erasure processes performed on macroscopic bits that contain N microscopic binary units. While we show that for reversible erasure protocols single-unit transformations are more efficient than majority-logic decoding, the latter is found to offer several benefits for finite-time erasure processes: Both the minimal erasure duration for a given erasure and the minimal erasure error for a given erasure duration are reduced, if compared to a single unit. Remarkably, the majority-logic decoding is also more efficient in both the small-erasure error and fast-erasure region. These benefits are also preserved under the optimal erasure protocol that minimizes the dissipated heat. Our work therefore shows that majority-logic decoding can lift the precision-speed-efficiency trade-off in information erasure processes. View Full-Text
Keywords: finite-time information erasure; majority-logic decoding; nonequilibrium thermodynamics finite-time information erasure; majority-logic decoding; nonequilibrium thermodynamics

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Sheng, S.; Herpich, T.; Diana, G.; Esposito, M. Thermodynamics of Majority-Logic Decoding in Information Erasure. Entropy 2019, 21, 284.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top