Timefrequency metrology with two singlephoton states: phase space picture and the HongOuMandel interferometer
Abstract
We use timefrequency continuous variables as the standard framework to describe states of light in the subspace of individual photons occupying distinguishable auxiliary modes. We adapt to this setting the interplay between metrological properties and the phase space picture already extensively studied for quadrature variables. We also discuss in details the HongOuMandel interferometer, which was previously shown to saturate precision limits, and provide a general formula for the coincidence probability of a generalized version of this experiment. From the obtained expression, we systematically analyze the optimality of this measurement setting for arbitrary unitary transformations applied to each one of the input photons. As concrete examples, we discuss transformations which can be represented as translations and rotations in timefrequency phase space for some specific states.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.11755
 arXiv:
 arXiv:2301.11755
 Bibcode:
 2023arXiv230111755D
 Keywords:

 Quantum Physics