%0 Journal Article %A Álvarez Marcos, Ainara %A Luis Aina, Alfredo %T Phase-space quantum Wiener-Khintchine theorem %D 2022 %@ 0146-9592 %U https://hdl.handle.net/20.500.14352/72629 %X We derive a quantum version of the classical-optics Wiener-Khintchine theorem within the framework of detec-tion of phase-space displacements with a suitably designed quantum ruler. A phase-space-based quantum mutual coherence function is introduced that includes the contribu-tion of the detector. We obtain an universal equality linking resolution with coherence. This is illustrated with the case of Gaussian states and number states. (c) 2022 Optica Publishing Group %~