Complete characterisation of state conversions by work extraction
arXiv:2510.20366 · doi:10.1103/4f1s-5q8b
Abstract
We introduce a thermodynamic work extraction task that describes the energy storage enhancement of quantum systems. This task induces majorisation-like conditions that provide a necessary and sufficient characterisation of state conversions in general quantum resource theories. When applied to specific resources, these conditions reduce to the majorisation conditions under unital channels and provide a thermodynamic version of Nielsen's theorem in entanglement theory. We show how this result establishes the first universal resource certification class based on thermodynamics, and how it can be employed to quantify general quantum resources based on work extraction.
4+5 pages, 2 figures, closed to published version, companion paper of arXiv:2403.18753, part of the results are included in the early version of arXiv:2403.18753 and have been removed in its latest version
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