English

Phase-space quantum Wiener-Khintchine theorem

Quantum Physics 2022-09-07 v2

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.

Keywords

Cite

@article{arxiv.2206.06020,
  title  = {Phase-space quantum Wiener-Khintchine theorem},
  author = {Ainara Álvarez-Marcos and Alfredo Luis},
  journal= {arXiv preprint arXiv:2206.06020},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T11:48:39.135Z