All coherent measurements provide observational ergotropic advantage
Abstract
The use of quantum resources in the work extraction from a quantum system is an emerging research topic. Recently, [arXiv:2602.22893] established the necessity of measurement coherence for obtaining advantage in work extraction from an unknown isolated quantum system. However, a quantitative relation between the magnitude of this advantage and established measures of measurement coherence is missing. Here, we establish such a connection by introducing a faithful operational quantifier of the work advantage provided by a measurement. We show that measurement coherence is necessary and sufficient for a positive advantage, and derive upper and lower bounds in terms of the robustness of measurement coherence and an l∞ norm based coherence measure respectively. Finally, we examine this quantifier of advantage from the resource theoretic perspective. Our results provide an operational characterisation of measurement coherence as a resource for work extraction and reveal a nontrivial relation between its resource content and thermodynamic value.
Related
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BibTeX
@misc{mahanti2026coherent,
title = {{All coherent measurements provide observational ergotropic advantage}},
author = {Soumik Mahanti and Rakesh Saini and Alexei Gilchrist and Arindam Mitra},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18735},
eprint = {2609.18735},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18735},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - All coherent measurements provide observational ergotropic advantage
AU - Soumik Mahanti
AU - Rakesh Saini
AU - Alexei Gilchrist
AU - Arindam Mitra
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18735
UR - https://arxiv.org/abs/2609.18735
AB - The use of quantum resources in the work extraction from a quantum system is an emerging research topic. Recently, [arXiv:2602.22893] established the necessity of measurement coherence for obtaining advantage in work extraction from an unknown isolated quantum system. However, a quantitative relation between the magnitude of this advantage and established measures of measurement coherence is missing. Here, we establish such a connection by introducing a faithful operational quantifier of the work advantage provided by a measurement. We show that measurement coherence is necessary and sufficient for a positive advantage, and derive upper and lower bounds in terms of the robustness of measurement coherence and an l_∞ norm based coherence measure respectively. Finally, we examine this quantifier of advantage from the resource theoretic perspective. Our results provide an operational characterisation of measurement coherence as a resource for work extraction and reveal a nontrivial relation between its resource content and thermodynamic value.
ER -