Phase-space quantum Wiener-Khintchine theorem

• URL: http://arxiv.org/abs/2206.06020v2
• Date: Tue, 6 Sep 2022 08:28:29 GMT
• Title: Phase-space quantum Wiener-Khintchine theorem
• Authors: Ainara \'Alvarez-Marcos and Alfredo Luis
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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