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A note on the monotonicity of observational ergotropic advantage

  • Debanjan Dey Sarkar
  • Mallika Mondal
  • Preeti Parashar
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Abstract

Very recently, Mahanti et al. (arXiv:2609.18735) introduced the observational ergotropic advantage, which gives the maximum value of extra work that a measurement can obtain with respect to all incoherent measurements. However, the above quantity does not show monotonic behaviour under the resource theory of measurement coherence. So, the search for a resource theory in which it is a monotone was open. We derive the monotonicity of this quantity using energy-preserving channels and passive resets as free operations and energy-incoherent measurements as free objects. We show the monotonicity property of the measure as a necessary criterion of measurement transformation, but it turns out not to be a sufficient condition. It is further established that the measure is not convex. A short analysis of bounds and tightness of the measure using a degenerate Hamiltonian is also given.

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Cite

BibTeXRIS
BibTeX
@misc{sarkar2026note,
  title = {{A note on the monotonicity of observational ergotropic advantage}},
  author = {Debanjan Dey Sarkar and Mallika Mondal and Preeti Parashar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32585},
  eprint = {2610.32585},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32585},
}
RIS
TY  - UNPB
TI  - A note on the monotonicity of observational ergotropic advantage
AU  - Debanjan Dey Sarkar
AU  - Mallika Mondal
AU  - Preeti Parashar
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32585
UR  - https://arxiv.org/abs/2610.32585
AB  - Very recently, Mahanti et al. (arXiv:2609.18735) introduced the observational ergotropic advantage, which gives the maximum value of extra work that a measurement can obtain with respect to all incoherent measurements. However, the above quantity does not show monotonic behaviour under the resource theory of measurement coherence. So, the search for a resource theory in which it is a monotone was open. We derive the monotonicity of this quantity using energy-preserving channels and passive resets as free operations and energy-incoherent measurements as free objects. We show the monotonicity property of the measure as a necessary criterion of measurement transformation, but it turns out not to be a sufficient condition. It is further established that the measure is not convex. A short analysis of bounds and tightness of the measure using a degenerate Hamiltonian is also given.
ER  -