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Generalized Landauer Bound for Information Processing: Proof and Applications

A generalized form of Landauer’s bound on the dissipative cost of classical information processing in quantum-mechanical systems is proved using a new approach. This approach sidesteps some prominent objections to standard proofs of Landauer’s bound—broadly interpreted here as a nonzero lower bound...

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Autor principal: Anderson, Neal G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689189/
https://www.ncbi.nlm.nih.gov/pubmed/36359663
http://dx.doi.org/10.3390/e24111568
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author Anderson, Neal G.
author_facet Anderson, Neal G.
author_sort Anderson, Neal G.
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description A generalized form of Landauer’s bound on the dissipative cost of classical information processing in quantum-mechanical systems is proved using a new approach. This approach sidesteps some prominent objections to standard proofs of Landauer’s bound—broadly interpreted here as a nonzero lower bound on the amount of energy that is irreversibly transferred from a physical system to its environment for each bit of information that is lost from the system—while establishing a far more general result. Specializations of our generalized Landauer bound for ideal and non-ideal information processing operations, including but not limited to the simplified forms for erasure and logical operations most familiar from the literature, are presented and discussed. These bounds, taken together, enable reconsideration of the links between logical reversibility, physical reversibility, and conditioning of operations in contexts that include but are far more general than the thermodynamic model systems that are most widely invoked in discussions of Landauer’s Principle. Because of the strategy used to prove the generalized bounds and these specializations, this work may help to illuminate and resolve some longstanding controversies related to dissipation in computation.
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spelling pubmed-96891892022-11-25 Generalized Landauer Bound for Information Processing: Proof and Applications Anderson, Neal G. Entropy (Basel) Article A generalized form of Landauer’s bound on the dissipative cost of classical information processing in quantum-mechanical systems is proved using a new approach. This approach sidesteps some prominent objections to standard proofs of Landauer’s bound—broadly interpreted here as a nonzero lower bound on the amount of energy that is irreversibly transferred from a physical system to its environment for each bit of information that is lost from the system—while establishing a far more general result. Specializations of our generalized Landauer bound for ideal and non-ideal information processing operations, including but not limited to the simplified forms for erasure and logical operations most familiar from the literature, are presented and discussed. These bounds, taken together, enable reconsideration of the links between logical reversibility, physical reversibility, and conditioning of operations in contexts that include but are far more general than the thermodynamic model systems that are most widely invoked in discussions of Landauer’s Principle. Because of the strategy used to prove the generalized bounds and these specializations, this work may help to illuminate and resolve some longstanding controversies related to dissipation in computation. MDPI 2022-10-31 /pmc/articles/PMC9689189/ /pubmed/36359663 http://dx.doi.org/10.3390/e24111568 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Anderson, Neal G.
Generalized Landauer Bound for Information Processing: Proof and Applications
title Generalized Landauer Bound for Information Processing: Proof and Applications
title_full Generalized Landauer Bound for Information Processing: Proof and Applications
title_fullStr Generalized Landauer Bound for Information Processing: Proof and Applications
title_full_unstemmed Generalized Landauer Bound for Information Processing: Proof and Applications
title_short Generalized Landauer Bound for Information Processing: Proof and Applications
title_sort generalized landauer bound for information processing: proof and applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689189/
https://www.ncbi.nlm.nih.gov/pubmed/36359663
http://dx.doi.org/10.3390/e24111568
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