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

Fabre N, Klimov AB, Leuchs G, Sánchez-Soto LL (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 5

Article Number: 014404

Journal Issue: 1

DOI: 10.1116/5.0134784


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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Fabre, N., Klimov, A.B., Leuchs, G., & Sánchez-Soto, L.L. (2023). Local sampling of the SU(1,1) Wigner function. AVS Quantum Science, 5(1). https://doi.org/10.1116/5.0134784


Fabre, Nicolas, et al. "Local sampling of the SU(1,1) Wigner function." AVS Quantum Science 5.1 (2023).

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