Abstract
We prove that statistical information-theoretic quantities, such as information entropy, cannot generally be interrelated with the lower limit of energy dissipation during information erasure. We also point out that, in deterministic and error-free computers, the information entropy of memories does not change during erasure because its value is always zero. On the other hand, for information-theoretic erasure—i.e., “thermalization”/randomization of the memory—the originally zero information entropy (with deterministic data in the memory) changes after erasure to its maximum value, 1 bit/memory bit, while the energy dissipation is still positive, even at parameters for which the thermodynamic entropy within the memory cell does not change. Information entropy does not convert to thermodynamic entropy and to the related energy dissipation; they are quantities of different physical nature. Possible specific observations (if any) indicating convertibility are at most fortuitous and due to the disregard of additional processes that are present.
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Kish, L.B., Granqvist, C.G., Khatri, S., Peper, F.: Zero and negative energy dissipation at information-theoretic erasure. J. Comput. Electron. (2015). doi:10.1007/s10825-015-0754-5
Kish, L.B., Granqvist, C.G., Khatri, S., Peper, F.: Zero and negative energy dissipation at information-theoretic erasure. Version 1. arXiv:1507.08906v1
Anderson, N.G.: Information erasure in quantum systems. Phys. Lett. A 372, 5552–5555 (2008)
Anderson, N.G.: Comment on “Zero and negative energy dissipation at information-theoretic erasure”. J. Comput. Electron. (2015). doi:10.1007/s10825-015-0768-z
Kish, L.B., Granqvist, C.G., Khatri, S.P., Wen, H.: Demons: Maxwell’s demon, Szilard’s engine and Landauer’s erasure–dissipation. Int. J. Mod. Phys. Conf. Ser 33, 1460364 (2014). Open access
Kish, L.B., Granqvist, C.G.: Energy requirement of control: Comments on Szilard’s engine and Maxwell’s demon. EPL (Europhys. Lett.) 98, 68001 (2012)
Kish, L.B., Granqvist, C.G.: Electrical Maxwell demon and Szilard engine utilizing Johnson noise, measurement, logic and control. PLoS One 7, e46800 (2012)
Porod, W., Grondin, R.O., Ferry, D.K.: Dissipation in computation. Phys. Rev. Lett. 52, 232–235 (1984)
Porod, W., Grondin, R.O., Ferry, D.K., Porod, G.: Dissipation in computation—Reply. Phys. Rev. Lett. 52, 1206–1206 (1984)
Porod, W.: Energy requirements in communication—Comment. Appl. Phys. Lett. 52, 2191–2191 (1988)
Norton, J.D.: Eaters of the lotus: Landauer’s principle and the return of Maxwell’s demon. Studies Hist. Philos. Mod. Phys. 36, 375–411 (2005)
Norton, J.D.: All shook up: fluctuations, Maxwell’s demon and the thermodynamics of computation. Entropy 15, 4432–4483 (2013)
Kish, L.B., Granqvist, C.G, Khatri, S.P, Smulko, J.: Critical remarks on Landauer’s principle of erasure–dissipation, In: Proc. ICNF 2015 Conference, Xidian, China, (2015). doi:10.1109/ICNF.2015.7288632
Gyftopoulos, E.P., von Spakovsky, M.R.: Comments on the breakdown of the Landauer bound for information erasure in the quantum regime. (2007). arXiv:0706.2176
Renyi, A.: Diary on Information Theory. Wiley, New York (1987)
Acknowledgments
LK appreciates extensive discussions with Neal Anderson. Discussions with Tamas Horvath, Krishna Narayanan and Fred Green are also appreciated.
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Kish, L.B., Granqvist, CG., Khatri, S.P. et al. Response to “Comment on ‘Zero and negative energy dissipation at information-theoretic erasure”’. J Comput Electron 15, 343–346 (2016). https://doi.org/10.1007/s10825-015-0788-8
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DOI: https://doi.org/10.1007/s10825-015-0788-8