Speed limit and Landauer's bound

Landauer's bound represents the minimum thermodynamic cost of erasing a single bit of information. However, as this bound is only achievable in quasistatic processes, finite-time operations inevitably incur additional energetic costs. In this talk, we establish a general form of the classical speed limit and derive a tight finite-time Landauer's bound. This bound well captures the divergent behavior associated with the additional cost in highly irreversible processes, which exhibits a distinct scaling compared to nearly irreversible processes. Our findings suggest that high-speed computations leads to greater heat dissipation than previously anticipated.

[1] J.S. Lee, S. Lee, H. Kwon, H. Park, Phys Rev. Lett. 129, 120603 (2022).

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