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Deffner and Lutz [J. Phys. A 46, 335302 (2013) and Phys. Rev. Lett. 111,010402 (2013).] extended the Mandelstam-Tamm bound and the Margolus-Levitinbound to time-dependent and non-Markovian systems, respectively. Although thederivation of the Mandelstam-Tamm bound is correct, we point out that thieranalysis of the Margolus-Levitin bound is incorrect. The Margolus-Levitin boundhas not yet been established in time-dependent quantum systems, except for theadiabatic case.

Comment on "Energy-time uncertainty relation for driven quantum systems" and "Quantum Speed Limit for Non-Markovian Dynamics"