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Entropy 2019, 21(3), 284; https://doi.org/10.3390/e21030284

Thermodynamics of Majority-Logic Decoding in Information Erasure

1
Division of Interfacial Water and Key Laboratory of Interfacial Physics and Technology, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
2
Complex Systems and Statistical Mechanics, University of Luxembourg, L-1511 Luxembourg, Luxembourg
3
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)
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Abstract

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

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