Phase-space quantum Wiener-Khintchine theorem

Abstract

We derive a quantum version of the classical-optics Wiener-Khintchine theorem within the framework of detection of phase-space displacements with a suitably designed quantum ruler. A phase-pace based quantum mutual coherence function is introduced that includes the contribution of the detector. We obtain an universal equality linking resolution with coherence. This is illustrated with the case of Gaussian states and number states.

6 pages, 2 figures. This arXiv version includes some of the last referee recommendations that were not included in the journal version

References in corpus (3)

• Direct characteristic-function tomography of quantum states of the trapped-ion motional oscillator
• Intrinsic degree of coherence of classical and quantum states
• Quantum metrology and coherence