For quantum channels, athermality distillation and formation under Gibbs-preserving superchannels both converge asymptotically to the channel's relative-entropy free energy, making the resource theory asymptotically reversible.
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Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality
For quantum channels, athermality distillation and formation under Gibbs-preserving superchannels both converge asymptotically to the channel's relative-entropy free energy, making the resource theory asymptotically reversible.