发表机构
University of Technology Sydney; Macquarie University; Indian Institute of Technology Bhubaneswar（悉尼科技大学; 麦考瑞大学; 布巴内斯瓦尔印度理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文建立测量相干性与功提取优势的定量联系，证明相干性是正优势的充要条件，并给出上下界，从资源理论角度表征其热力学价值。
AI 中文摘要
在从量子系统中提取功的过程中利用量子资源是一个新兴的研究课题。近期，[arXiv:2602.22893] 确立了测量相干性对于从未知孤立量子系统中获得功提取优势的必要性。然而，这一优势的大小与已建立的测量相干性度量之间的定量关系仍然缺失。在此，我们通过引入一个忠实的操作性量化指标来建立这种联系，该指标衡量测量所提供的功优势。我们证明测量相干性是获得正优势的充分必要条件，并分别基于测量相干性的鲁棒性和基于$l_{\infty}$范数的相干性度量推导出优势的上界和下界。最后，我们从资源理论的角度审视这一优势量化指标。我们的结果为测量相干性作为功提取资源提供了操作性表征，并揭示了其资源含量与热力学价值之间的非平凡关系。
英文摘要
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 $l_{\infty}$ 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.
Comments15 pages
