Ares Santos, LauraLuis Aina, Alfredo2023-06-162023-06-162021-10-260146-959210.1364/OL.439197https://hdl.handle.net/20.500.14352/4572© 2021 Optical Society of America. L. A. and A. L. acknowledge financial support from Spanish Ministerio de Economía y Competitividad Project No. FIS2016-75199-P. L. A. acknowledges financial support from European Social Fund and the Spanish Ministerio de Ciencia Innovación y Universidades, Contract Grant No. BES-2017-081942. We thank Dr. J. Rubio for continuous support and helpful comments.We address the relation between quantum metrological resolution and quantum coherence. We develop a quantum version of the Wiener-Khintchine theorem for a suitable model of a quantum ruler, putting the contributions of the probe and measurement on equal footing. We illustrate this approach with several examples of linear metrology.engjournal articlehttp://dx.doi.org/10.1364/OL.439197https://www.osapublishing.orgopen access535QuantumÓptica (Física)2209.19 Óptica Física