Phase-space quantum Wiener-Khintchine theorem

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

Automated summary

In this study, we derive a quantum version of the classical-optics Wiener-Khintchine theorem within the framework of phase-space displacement detection using a designed quantum ruler. We introduce a phase-space-based quantum mutual coherence function that includes the contribution of the detector. An universal equality linking resolution with coherence is obtained and illustrated with Gaussian states and number states as examples.