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Recently, Elouard and Lombard Latune [PRX Quantum 4, 020309 (2023)] claimedto extend the laws of thermodynamics to "arbitrary quantum systems" valid "atany scale" using "consistent" definitions allowing them to "recover knownresults" from the literature. I show that their definitions are in conflictwith textbook thermodynamics and over- or underestimate the real entropyproduction by orders of magnitude. The cause of this problem is traced back toproblematic definitions of entropy and temperature, the latter, for instance,violates the zeroth law. It is pointed out that another framework presented inPRX Quantum 2, 030202 (2021) does not suffer from these problems, while Elouardand Lombard Latune falsely claim that it only provides a positive entropyproduction for a smaller class of initial states. A simple way to unify bothapproaches is also presented.

Comment on "Extending the Laws of Thermodynamics for Arbitrary Autonomous Quantum Systems"