Relation between quantum excess entropy and extractable work

Determine how the quantum excess entropy relates to the thermodynamic bound on extractable work from general quantum processes associated with non-Markovianity.

Background

The discussion identifies non-Markovianity as a thermodynamic resource that can bound the work extractable from general quantum processes. Because quantum excess entropy quantifies temporal correlations, the authors raise the unresolved issue of whether it provides a distinct or related characterization of this thermodynamic bound.

The question is not addressed by the paper’s entropy-rate, excess-entropy, or recurrent-circuit memory-bound results.