Abstract
In 1961, Rolf Landauer pointed out that resetting a binary memory requires a minimum energy of \(k_BT ln(2)\). However, once written, any memory is doomed to loose its content if no action is taken. To avoid memory losses, a refresh procedure is periodically performed. In this work we present a theoretical and experimental study of sub-\(k_BT\) system to evaluate the minimum energy required to preserve one bit of information over time. Two main conclusions are drawn: (i) in principle the energetic cost to preserve information for a fixed time duration with a given error probability can be arbitrarily reduced if the refresh procedure is performed often enough; (ii) the Heisenberg uncertainty principle sets an upper bound on the memory lifetime, thus no memory can last forever.
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Acknowledgements
The authors gratefully acknowledge financial support from the European Commission (H2020, Grant agreement no: 732631, OPRECOMP, FPVII, Grant agreement no: 318287, LANDAUER and Grant agreement no: 611004, ICT- Energy) and ONRG grant N00014-11-1-0695.
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Gammaitoni, L., Neri, I., López-Suárez, M., Chiuchiù, D., Cristina Diamantini, M. (2019). The Cost of Remembering. In: In, V., Longhini, P., Palacios, A. (eds) Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-10892-2_1
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DOI: https://doi.org/10.1007/978-3-030-10892-2_1
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