The tightest finite-time Landauer's principle: applications of speed limit

For stochastic processes including Langevin and Markov jump processes, we can define entropy production in terms of trajectory probabilities. Based on this definition, physicists have derived diverse tighter versions of the second law such as thermodynamic uncertainty. Those inequalities bounds entropy production with a non-zero value. Thermodynamic uncertainty relation, a trade-off relation between entropy production and the precision of an observable, is one example of entropy inequalities. Speed limit that bounds minimum time for transforming probability distribution is another example. Applications of these inequalities draw a lot of interest. Recently we derived the tightest finite-time Landauer's principle as an application of the speed limit. In this talk, I will present our recent research titled "Speed limit for a highly irreversible process and tight finite-time Landauer's bound" [PRL 129, 120603]. The finite-time Landauer's principle states fundamental entropy production when we erase one bit, and implies more heat is dissipated in a highly irreversible computing.