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Environmental Effects on Light Propagation and Adaptive Systems

Measurements of atmospheric background light in the urban area Waterloo and its impact on satellite QKD system performance

Stefanie Häusler, Florian Schümann, Leonard Vollmann, Davide Orsucci, Paul J. Godin, Katanya B. Kuntz, Nouralhoda Bayat, Thomas D. Jennewein, Florian Moll

Published Nov 19, 2024• 2 citations
Publisher

Abstract

Quantum Key Distribution (QKD) allows sharing encryption keys with information theoretic security. Satellitebased QKD can establish long distance links due to the quadratic transmission loss in free-space instead of the exponential transmission loss in optical fibers. Atmospheric background light plays an important role in the QKD scheme as it may significantly contribute to the system Quantum Bit Error Rate (QBER). Therefore, background light needs to be examined closely. Due to the high variability of atmospheric conditions, direct measurements of the background light under different meteorological conditions are the best option to properly characterize the effect. Current considerations are mainly limited to the analysis of cloud-free scenarios by simulation and by experiment. Links can also take place when the environment differs from this ideal condition. Measurement data was recorded in C-band at the campus of the University of Waterloo, Canada, during the day with clear sky and during sunset with clear sky and partly-clouded sky conditions. The measurement data is shown and compared to simulation results and to the measurement data taken in Oberpfaffenhofen, Germany. The impact of background light is discussed on a chosen reference scenario outlining the importance of detector gating time and end-to-end transmission loss when wanting to realize daylight QKD.

DOI
10.1117/12.3033670

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Quantum Key Distribution (QKD) allows sharing encryption keys with information theoretic security. Satellitebased QKD can establish long distance links due to the quadratic transmission loss in free-space instead of the exponential transmission loss in optical fibers. Atmospheric background light plays an important role in the QKD scheme as it may significantly contribute to the system Quantum Bit Error Rate (QBER). Therefore, background light needs to be examined closely. Due to the high variability of atmospheric conditions, direct measurements of the background light under different meteorological conditions are the best option to properly characterize the effect. Current considerations are mainly limited to the analysis of cloud-free scenarios by simulation and by experiment. Links can also take place when the environment differs from this ideal condition. Measurement data was recorded in C-band at the campus of the University of Waterloo, Canada, during the day with clear sky and during sunset with clear sky and partly-clouded sky conditions. The measurement data is shown and compared to simulation results and to the measurement data taken in Oberpfaffenhofen, Germany. The impact of background light is discussed on a chosen reference scenario outlining the importance of detector gating time and end-to-end transmission loss when wanting to realize daylight QKD.
Quantum key distribution (QKD) enables private communication with information theoretic security. Free-space optical communication allows one to implement QKD without the limitations imposed by fiber networks such as the exponential scaling of transmission losses in optical fibers. Therefore, free-space QKD via satellite links is a promising technology to provide long-distance quantum communication connections. In free-space QKD systems, background light is the main source of noise, which has to be suppressed by means of spectral, spatial, and temporal filtering to reach a sufficiently low quantum bit error rate (QBER). Only then a quantum key can be exchanged successfully. To be able to define the requirements for a free-space QKD system, the background light must be examined more closely. Current considerations concentrate on cloud-free skies and rural environments. Free-space QKD will also take place when the sky is partly clouded and most likely also in urban environments. Here, an overview of physical causes of background light for downlink scenarios is given. Furthermore, the relation between QBER and background light is derived for a decoy-state BB84 protocol with polarization-encoded qubits to give an example of the dependency. Moreover, a setup to experimentally investigate the background light is shown. Measurement data were taken with this setup in Oberpfaffenhofen near Munich (Germany) in C-band. The measurement data are used to verify a background light simulation tool. The outcome underlines that simulation tools are sufficient for clear sky scenarios.
Quantum key distribution (QKD) allows secure data transfer in a post-quantum era by exploiting the laws of quantum mechanics to generate a secure-key for data encryption. Satellite based QKD is the gateway to a global communication network due to its quadratic transmission loss scaling opposed to the exponential losses in fiber-based QKD. However, the free-space nature of satellite QKD imposes a new challenge due to the additional noise source of background light (BGL). BGL heavily influences the feasibility of a secure QKD protocol, and its impact has to be mitigated through temporal, spatial and spectral filtering techniques. To design optical systems for satellite QKD, the contributions of BGL must be characterized, but current observations of BGL in the C-band are limited to daytime measurements with collimator setups. These measurements are only translated to the receiving systems of QKD downlinks, Optical Ground Stations (OGSs), via theoretical models. This work presents an optical setup built and calibrated for BGL measurements in the C-band with single mode fiber (SMF) coupling during the day and night utilizing the Optical Ground Station Oberpfaffenhofen (OGSOP) designed for satellite QKD downlinks. The transmission loss of the optical system and the efficiency of the deployed Superconducting Nanowire Single Photon Detector (SNSPD) are determined and BGL measurement data in the C-band acquired during the day and night. In addition the measured BGL is compared with BGL simulations and prior measurements with collimator setups for verification. During the night, the measured BGL only raises slightly above the noise floor of the detector with larger radiances observed only close to the surface with up to 0.00023 (mW nm-1 m-2 sr-1) and close to the full Moon with up to 0.0043 (mW nm-1 m-2 sr-1). In daytime BGL measurements radiances between 1.09 (mW nm-1 m-2 sr-1) and 4.17 (mW nm-1 m-2 sr-1) were observed, exhibiting an offset from simulation tools. The results highlight the importance of system calibration for Optical Ground Station (OGS) based BGL measurements, while also providing insights into the magnitude of BGL usable for the system design in future satellite QKD missions.
Atmospheric conditions play a pivotal role in determining the performance of satellite-to-ground quantum key distribution (QKD). In this research, we meticulously investigate the influence of various factors, including background light, dark counts, and aperture coupling efficiency, on the performance of satellite-to-ground QKD under different levels of turbulence intensity associated with diverse atmospheric stratifications. Based on the decoy state BB84 protocol, we refine the calculation formula for the quantum bit error rate (QBER) of the satellite-to-ground QKD system. Subsequently, we conduct simulations to analyze how the quantum BER varies under different conditions, such as varying intensities of background light, different wavelengths, and different zenith angles. The simulation results reveal that, when taking all the above-mentioned factors into comprehensive consideration, employing signals with shorter wavelengths can lead to a more favorable QBER. The findings of this study offer valuable insights and a solid reference for the construction of a satellite-to-ground QKD system, facilitating the development of more reliable and efficient quantum communication links between space and the ground.
Quantum key distribution (QKD) enables secure communication even in presence of quantum computers. Satellite based systems enable worldwide key distribution and connection of terrestrial quantum networks. In future, QKD satellite constellations can be operated to service ground users that are connected using an optical ground station. These QKD ground stations are assumed to be deployed in two scenarios. One is the option as end-user ground station, in which the ground user is directly connected to the satellite via the ground station. The other option is the use as a provider ground station, in which the ground user is connected via an intermediary fiber line. The performance of the satellite to ground QKD link depends on, amongst other, the environmental and infrastructural impacts of the site where it is located. Unlike in astronomical sites, the QKD Optical Ground Station (OGS) are not positioned in selected optimal environment, especially considering atmospheric turbulence and extinction. The QKD OGS mainly has to cope with the given environment instead. Knowledge of the site’s meteorological and infrastructural environment is important to assess performance of a QKD OGS when deployed. This paper discusses the most relevant aspects of a QKD OGS site characterization. These are atmospheric turbulence, atmospheric extinction, and background light. As a concrete example, the DLR Optical Ground Station Oberpfaffenhofen nearby Munich is used. Existing data is summarized, reviewed and needs for further data acquisition defined.
Atmospheric background radiance is a critical factor in free-space Quantum Key Distribution (QKD) systems since it can significantly increase the Quantum Bit Error Rate (QBER). Accurate assessment of its impact on QKD requires measurements within the narrow spectral bandwidth and with detectors capable of sensing single photons used in QKD scenarios. These measurements serve as a valuable tool for site characterization, helping to asses the impact of background light at potential Quantum Optical Ground Station locations and to develop appropriate mitigation strategies. The single-photon detectors in the background light measurement setup need to be operated both at low detection rates at night and high detection rates by day. This is challenging because the dynamic range of sky background radiance spans roughly seven orders of magnitude. It is therefore crucial to accurately determine the statistical uncertainty of the photon rate measurements for incident background radiance of any intensity. Only then can a full error budget for the measurement results be confidently constructed. This contribution presents analytic results, obtained using Bayesian techniques, for the statistical uncertainty of rate measurements with realistic counting detectors including the effects of a finite detector dead time and a finite dark count rate. The effects of the after-pulsing probability and the detection efficiency are also discussed. In addition, these results give a formula for the measurement duration required to attain a given measurement accuracy, which can be used to optimize the ‘hemisphere scan time’ of a background radiance measurement instrument in real-time. The results are generic and can also be applied to other types of counting detectors, such as Geiger-Müller counters.
Quantum key distribution (QKD) enables remote users to share cryptographic keys with information theoretic security. Satelliteto-ground QKD offers a route to extend the distances between users that is otherwise limited by losses through optical fibre. However, satellite QKD is typically limited to operation at night due to the background photons from sunlight. A proposed solution to reduce the background counts is tight spatial filtering via single-mode fibre coupling, but this comes at the cost of losses because of imperfect coupling efficiency due to wavefront distortions from atmospheric turbulence. To maximise the number of photons entering the fibre, adaptive optics (AO) can be used to correct for the atmospheric effects. We present results of end-to-end link simulations which show the trade-off between AO complexity and fibre coupling efficiency. These results show that for representative turbulence characteristics, a relatively small deformable mirror is required to obtain the required coupling efficiency for a reasonable key rate. This paves the way for affordable quantum communication in daylight conditions.