| Issue |
EPJ Web Conf.
Volume 287, 2023
EOS Annual Meeting (EOSAM 2023)
|
|
|---|---|---|
| Article Number | 06016 | |
| Number of page(s) | 2 | |
| Section | Topical Meeting (TOM) 6- Nonlinear and Quantum Optics | |
| DOI | https://doi.org/10.1051/epjconf/202328706016 | |
| Published online | 18 October 2023 | |
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
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