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Optics Express

Impulse response characterization of a quantum frequency converter

Kasper Alexander, Mateusz J. Olszewski, Michael T. M. Woodley, Leah R. Murphy, Alex O. C. Davis, Thjalfe Ulvenberg, Jacob G. Koefoed, Lars Søgaard Rishøj, Karsten K. Rottwitt

Published Apr 2, 2026• 0 citations
Publisher

Abstract

We present an experimental method for characterizing the (Green) cross-transfer functions of quantum frequency conversion (QFC) systems, which provide a complete spectral characterization of the underlying parametric interaction. We demonstrate the approach on a kilometer-scale fiber Bragg-scattering four-wave-mixing (BS-FWM) converter, retrieving its transfer functions directly from classical probe measurements. The reconstructed responses reveal clear departures from theory that we attribute primarily to longitudinal dispersion variations in the physical medium. Incorporating such variations in a numerical model yields quantitative agreement with experiment and accurately predicts single-photon conversion efficiencies measured independently in another experiment. The outlined method provides a practical route to characterizing and optimizing complex QFC systems using only classical probes, offering predictive insight directly relevant to applications in the quantum regime.

DOI
10.1364/oe.592023

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We present an experimental method for characterizing the (Green) cross-transfer functions of quantum frequency conversion (QFC) systems, which provide a complete spectral characterization of the underlying parametric interaction. We demonstrate the approach on a kilometer-scale fiber Bragg-scattering four-wave-mixing (BS-FWM) converter, retrieving its transfer functions directly from classical probe measurements. The reconstructed responses reveal clear departures from theory that we attribute primarily to longitudinal dispersion variations in the physical medium. Incorporating such variations in a numerical model yields quantitative agreement with experiment and accurately predicts single-photon conversion efficiencies measured independently in another experiment. The outlined method provides a practical route to characterizing and optimizing complex QFC systems using only classical probes, offering predictive insight directly relevant to applications in the quantum regime.
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Optical fibers have played a pivotal role in the long-distance transportation of quantum states and quantum key distribution due to their low loss. They have garnered attention for photon-pair generation and quantum frequency conversion due to their engineered dispersion properties. Accurate measurement of dispersion properties is essential for these applications. In this study, we introduce a new method to measure the dispersion properties of short optical fibers using Bragg-scattering four-wave mixing (BS-FWM). We successfully measured properties, including zero group-velocity-dispersion wavelength, dispersion slope, and the nonlinear coefficient, for fiber lengths ranging from 9.7 m to 392.7 m. Furthermore, we achieved efficient quantum frequency conversion with an efficiency of 83.8±0.8% using parameters extracted from a 53.9-m-long optical fiber. Our research offers a valuable resource for improving the performance of fiber-based photon-pair sources and quantum frequency converters and has potential implications for advancing fiber-based quantum information processing.
Quantum frequency conversion (QFC) plays a pivotal role in enabling coherent photonic interfaces across disparate quantum systems, serving as a foundation for scalable and interoperable quantum networks. Among various approaches, four-wave mixing (FWM) offers a promising path toward efficient, broadband QFC. In this work, we investigate the feasibility of phase-preserving frequency conversion, a necessary condition for coherent quantum state transfer, by characterizing the spectral phase mapping from input to output fields. We model nonlinear propagation through a gas-filled hollow-core capillary fiber, to demonstrate highly phase-coherent frequency conversion across a broad spectral range, including the infrared to ultraviolet, such as telecom (1550 nm) to visible (516 nm) and deep-UV (308 nm). We further examine how phase-mapping quality and conversion efficiency depend on key system parameters, including the intermediate pulse bandwidth and input pulse energy. Our results reveal optimal operating conditions for achieving future efficient and coherent QFC and provide valuable insights into the nonlinear dynamics underlying FWM-based transduction. These findings lay the groundwork for integrating heterogeneous quantum platforms across widely separated optical bands.
We present a quantum-mechanical model that describes fiber-based frequency conversion by four-wave-mixing Bragg scattering in the presence of Raman interactions. In the case of continuous-wave pumps, we find closed-form expressions for the conversion efficiency and photon statistics characterized by the second-order correlation function. For pulsed pumps, we derive a highly general model based on Green functions and provide a numerical solution method using a split-step scheme. In both cases, we find that noise from spontaneous Raman scattering can pose a serious challenge to this type of frequency conversion if the pumps are less than 30 THz from the quantum fields. However, this impact can be mitigated with cross-polarized pumps and, on the anti-Stokes side, through fiber cooling.