aiqbench analysis
This research establishes a universal framework for certifying quantum resources by linking state conversion limits directly to thermodynamic work extraction. By deriving necessary and sufficient conditions that generalize Nielsen's theorem, the study provides a rigorous method to quantify energy storage enhancements in quantum systems without relying on specific resource definitions. This advancement bridges fundamental quantum information theory with practical thermodynamic constraints, offering new tools for optimizing quantum protocols.
Complete characterisation of state conversions by work extraction
arXiv:2510.20366v2 Announce Type: replace 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.
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
arXiv:2510.20366 [quant-ph]
(or arXiv:2510.20366v2 [quant-ph] for this version)
Phys. Rev. Lett. 137, 070403 (2026)
https://doi.org/10.1103/4f1s-5q8b DOI(s) linking to related resources
Full text under the publisher's open licence · 144 words
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