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Journal Articles AVS Quantum Science Year : 2023

Local sampling of the SU(1,1) Wigner function

Abstract

Despite its indisputable merits, the Wigner phase-space formulation has not been widely explored for systems with SU(1,1) symmetry, as a simple operational definition of the Wigner function has proved elusive in this case. We capitalize on unique properties of the parity operator, to derive in a consistent way a bona fide SU(1,1) Wigner function that faithfully parallels the structure of its continuous-variable counterpart. We propose an optical scheme, involving a squeezer and photon-number-resolving detectors, that allows for direct point-by-point sampling of that Wigner function. This provides an adequate framework to represent SU(1,1) states satisfactorily.
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Dates and versions

hal-04095431 , version 1 (11-05-2023)

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Nicolas Fabre, Andrei B Klimov, Gerd Leuchs, Luis L Sánchez-Soto. Local sampling of the SU(1,1) Wigner function. AVS Quantum Science, 2023, 5 (1), pp.014404. ⟨10.1116/5.0134784⟩. ⟨hal-04095431⟩
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