https://doi.org/10.1051/epjconf/202328706016
Local sampling of the SU(1,1) Wigner function
1 Télécom Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France
2 Departamento de Fisica, Universidad de Guadalajara, 44420 Guadalajara, Jalisco, Mexico
3 Max-Planck-Institut für die Physik des Lichts, 91058 Erlangen, Germany
4 Institut fur Optik, Information und Photonik, Friedrich-Alexander-Universitat Erlangen-Nurnberg, 91058, Erlangen, Germany
5 Departamento de Optica, Universidad Complutense, 28040, Madrid, Spain
* Corresponding author: nicolas.fabre@telecom-pairs.fr
Published online: 18 October 2023
The Wigner phase-space formulation for systems possessing SU(1,1) symmetry has been defined by Seyfarth et al. [Quantum 4, 317 (2020)] tackling the difficulty in defining a suitable operational definition of the Wigner function. To further investigate this formulation, we propose a non-linear optical setup that incorporates photon-number-resolving detectors, which would enable a direct and comprehensive point-by-point sampling of the SU(1,1) Wigner function. We discuss the visualization of various two-mode quantum states and the effect of the losses in such a detection scheme.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
