Comment on "Speed Limit for Classical Stochastic Processes"

TL;DR

This paper refines the existing speed limit inequality for classical stochastic Markov processes, providing a more precise relationship between transformation speed and entropy production.

Contribution

It introduces a more accurate inequality that improves upon the previous trade-off relation for stochastic process speed limits.

Findings

Derived a tighter inequality for process speed limits

Enhanced understanding of entropy production constraints

Improved bounds on stochastic process dynamics

Abstract

In recent letter [Phys. Rev. Lett {\bf 121}, 070601 (2018), arXiv:1802.06554], the speed limit for classical stochastic Markov processes is considered, and a trade-off inequality between the speed of the state transformation and the entropy production is given. In this comment, a more accurate inequality will be presented.