Mainz 2026 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 29: Poster – Quantum Technologies I
Q 29.24: Poster
Tuesday, March 3, 2026, 17:00–19:00, Philo 2. OG
Sparse Optimization of Quantum Fourier Transform Spectroscopy — •Chinmay Sangavadekar1, Zhengjun Wang1,2, and Frank Schlawin1,2,3 — 1University of Hamburg, Luruper Chaussee 149, Hamburg, Germany — 2Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany — 3The Hamburg Centre for Ultrafast Imaging, Hamburg, Germany
Nonlinear interferometers are of fundamental importance for quantum-enhanced photonic sensing. They are able to perform measurements in the infrared regime while relying only on the detection of visible photons and their interactions [1]. Here we present a theoretical framework for quantum Fourier transform infrared spectroscopy using a cw source where a full analytic expression for the quantum interferogram based on signal photon count rate is derived and the complex transmittance is extracted via Fourier transformation. We further explore how sparse optimization may reduce the necessary number of measurements and thereby speed up data acquisition.
[1] G. Barreto Lemos, M. Lahiri, S. Ramelow, R. Lapkiewicz, and W. Plick, "Quantum imaging and metrology with undetected photons: tutorial," J. Opt. Soc. Am. B 39, 2200-2228 (2022).
Keywords: sparse optimization; nonlinear interferometry; Fourier-transform spectroscopy