Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach
This article analyzes the effect of imperfections in physically realizable memory. Motivated by the realization of a bit as a Brownian particle within a double well potential, we investigate the energetics of an erasure protocol under a Gaussian mixture model. We obtain sharp quantitative entropy bo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-09-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/10/749 |
| _version_ | 1798002587536982016 |
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| author | Saurav Talukdar Shreyas Bhaban James Melbourne Murti Salapaka |
| author_facet | Saurav Talukdar Shreyas Bhaban James Melbourne Murti Salapaka |
| author_sort | Saurav Talukdar |
| collection | DOAJ |
| description | This article analyzes the effect of imperfections in physically realizable memory. Motivated by the realization of a bit as a Brownian particle within a double well potential, we investigate the energetics of an erasure protocol under a Gaussian mixture model. We obtain sharp quantitative entropy bounds that not only give rigorous justification for heuristics utilized in prior works, but also provide a guide toward the minimal scale at which an erasure protocol can be performed. We also compare the results obtained with the mean escape times from double wells to ensure reliability of the memory. The article quantifies the effect of overlap of two Gaussians on the the loss of interpretability of the state of a one bit memory, the required heat dissipated in partially successful erasures and reliability of information stored in a memory bit. |
| first_indexed | 2024-04-11T11:54:40Z |
| format | Article |
| id | doaj.art-d21139c90da041cdb73ad21d528281ae |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T11:54:40Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d21139c90da041cdb73ad21d528281ae2022-12-22T04:25:12ZengMDPI AGEntropy1099-43002018-09-01201074910.3390/e20100749e20100749Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture ApproachSaurav Talukdar0Shreyas Bhaban1James Melbourne2Murti Salapaka3Department of Mechanical Engineering, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USADepartment of Electrical and Computer Engineering, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USADepartment of Electrical and Computer Engineering, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USADepartment of Electrical and Computer Engineering, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USAThis article analyzes the effect of imperfections in physically realizable memory. Motivated by the realization of a bit as a Brownian particle within a double well potential, we investigate the energetics of an erasure protocol under a Gaussian mixture model. We obtain sharp quantitative entropy bounds that not only give rigorous justification for heuristics utilized in prior works, but also provide a guide toward the minimal scale at which an erasure protocol can be performed. We also compare the results obtained with the mean escape times from double wells to ensure reliability of the memory. The article quantifies the effect of overlap of two Gaussians on the the loss of interpretability of the state of a one bit memory, the required heat dissipated in partially successful erasures and reliability of information stored in a memory bit.http://www.mdpi.com/1099-4300/20/10/749information erasuregeneralized Landauer’s principlethermodynamics of informationreliability of a bit |
| spellingShingle | Saurav Talukdar Shreyas Bhaban James Melbourne Murti Salapaka Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach Entropy information erasure generalized Landauer’s principle thermodynamics of information reliability of a bit |
| title | Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach |
| title_full | Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach |
| title_fullStr | Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach |
| title_full_unstemmed | Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach |
| title_short | Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach |
| title_sort | analysis of heat dissipation and reliability in information erasure a gaussian mixture approach |
| topic | information erasure generalized Landauer’s principle thermodynamics of information reliability of a bit |
| url | http://www.mdpi.com/1099-4300/20/10/749 |
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