SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 8: QI Poster I (joint session QI/Q)

Q 8.5: Poster

Monday, March 6, 2023, 16:30–19:00, Empore Lichthof

Photon-number resolved model for multimode quantum opti- cal setups based on Gaussian states — •Florian Niederschuh, Erik Fitzke, and Thomas Walther — Institute for Applied Physics, TU Darmstadt, Darmstadt, Germany

Experiments in quantum optics and photonic quantum information protocols regularly employ multimode states with low photon numbers. While early setups used single photon avalanche diodes, recent advances aim at the realization of photon-number resolving detectors. Consequently, mathematical models for the prediction of photon-number resolved detection probabilities may provide valuable insight and aid in experimental design. Here, a formalism for simulating the photon statistics of Gaussian states is presented. It is based on the construction of suitable generating functions, which are further processed by software for automatic differentiation. This allows the extraction of various statistical quantities, e.g. the photon number distribution, cumulative probabilities and statistical moments. The model considers an array of experimental imperfections and agrees with recent measurement results of an entanglement-based phase-time coding setup for quantum key distribution [Fitzke et al. (2022). PRX Quantum, 3, 020341].