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An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic

Open Access
|Dec 2020

References

  1. Bennett, C.H. (1973). The logical reversibility of computation. IBM Journal of Research and Development, 17, 525–532.10.1147/rd.176.0525
  2. Bennett, C.H. (1987). Demons, Engines and the Second Law. Scientific American, 257.10.1038/scientificamerican1187-108
  3. Bérut, A. at al. (2012). Experimental verification of Landauer’s principle linking information and thermodynamics. Nature, 483, 187–189. http://doi.org/10.1038/nature1087210.1038/nature1087222398556
  4. Bormashenko, E. (2019). Generalization of the Landauer Principle for Computing Devices Based on Many-Valued Logic. Entropy, 21(12), 1150. http://doi.org/10.3390/e2112115010.3390/e21121150
  5. Bormashenko, E. (2019). The Landauer Principle: Re-Formulation of the Second Thermodynamics Law or a Step to Great Unification?. Entropy, 21(10), 918. https://doi.org/10.3390/e2110091810.3390/e21100918
  6. Fong, B., Spivak, D.I. (2019). An Invitation to Applied Category Theory: Seven Sketches in Compositionality. Cambridge University Press.10.1017/9781108668804
  7. Frankel, T. (2011). Geometry of Physics. Cambridge University Press.10.1017/CBO9781139061377
  8. Hayes, B. (2001). Third base. American Scientist, 89, 490–494.10.1511/2001.40.3268
  9. Kycia, R.A. (2018). Landauer’s Principle as a Special Case of Galois Connection. Entropy, 20(12), 971. https://doi.org/10.3390/e2012097110.3390/e20120971751257133266695
  10. Kycia, R.A. (2020). Entropy in Themodynamics: from Foliation to Categorization, Accepted to Communications in Mathematics; arXiv:1908.07583 [math-ph].
  11. Ladyman, J., Presnell, S., Short, A.J., Groisman, B. (2007). The connection between logical and thermodynamic irreversibility. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 38, 1, 58–79. https://doi.org/10.1016/j.shpsb.2006.03.00710.1016/j.shpsb.2006.03.007
  12. Landauer, R. (1961). Irreversibility and heat generation in the computing process. IBM Journal of Research and Development, 5, 183–191.10.1147/rd.53.0183
  13. Parrondo, J.M.R., Horowitz, J.M., Sagawa, T. (2015). Thermodynamics of information. Nature Phys, 11, 131–139. https://doi.org/10.1038/nphys323010.1038/nphys3230
  14. Piechocinska, B. (2000). Information erasure. Phys. Rev. A, 61, 062314. https://doi.org/10.1103/PhysRevA.61.06231410.1103/PhysRevA.61.062314
  15. Raschka, S., Mirjalili, V. (2017). Python Machine Learning. Birmingham: Packt Publishing.
  16. Reza, F.M. (1994). An Introduction to Information Theory, Dover Publications.
  17. Sagawa, T. (2014). Thermodynamic and logical reversibilities revisited. Journal of Statistical Mechanics: Theory and Experiment, P03025, 3. http://doi.org/10.1088/17425468/2014/03/p03025
  18. Smith, P., Category Theory: A Gentle Introduction, Retrieved from https://www.logicmatters.net/categories (date of access: 10/10/2020).
  19. Still, S. (2019). Thermodynamic cost and benefit of data representations. Phys. Rev. Lett. (in press); arXiv:1705.00612
  20. Szilard, L. (1929). Über die Entropieverminderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen (On the reduction of entropy in a thermodynamic system by the intervention of intelligent beings). Zeitschrift für Physik, 53, 840–856. http://doi.org/10.1007/BF01341281 (English translation: NASA document TT F-16723).10.1007/BF01341281
  21. Yan, L.L., Xiong, T.P., Rehan, K., Zhou, F., Liang, D.F., Chen, L., Zhang, J.Q., Yang, W.L., Ma, Z.H., Feng, M. (2018). Single-Atom Demonstration of the Quantum Landauer Principle. Phys. Rev. Lett., 120, 210601. https://doi.org/10.1103/PhysRevLett.120.21060110.1103/PhysRevLett.120.21060129883174
DOI: https://doi.org/10.37705/TechTrans/e2020042 | Journal eISSN: 2353-737X | Journal ISSN: 0011-4561
Language: English
Submitted on: Oct 13, 2020
Accepted on: Nov 18, 2020
Published on: Dec 28, 2020
Published by: Cracow University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 1 times per year

© 2020 Radosław A. Kycia, Agnieszka Niemczynowcz, published by Cracow University of Technology
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.