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ACTA PHOTONICA SINICA

Performance Analysis of Free Space Quantum Key Distribution Based on Refraction of Turbulence Bubble

薛阳 Xue Yang, 马丽华 MA Lihua, Lei Shi, 罗均文 Luo Junwen, 徐志燕 XU Zhiyan, 李娜 Li Na, 姬一鸣 JI Yi-ming

Published Jan 1, 2017• 2 citations
Publisher
DOI
10.3788/gzxb20174607.0701005

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Aiming at the transmission of polarization encoded single photons in turbulent atmosphere, the random turbulence is modeled as atmospheric bubbles with various refractive indexes so as to conceive the propagation process of single photon using geometric optics.The fluctuation of photon transmission ratio k has been quantitatively calculated which is revealed as the relationship between transmission ratio and incident angle or turbulence scale.Based on that, the quantum bit error rate(QBER) and polarization fidelity of single photons are analyzed respectively which are both caused by the misalignment of polarization state after continuous refractions.Then the three dimensional relationship of k and polarization error rate Q are simulated with random incident angle or turbulence scale.
Continuous variable quantum key distribution (CVQKD) has been implemented over the atmospheric channels over free space. However, atmospheric turbulence weakens the quality of the transmitting quantum signals and hence decreases the secret key rate of the system. Here, we suggest an atmospheric turbulence channel model that involves atmospheric turbulence bubbles and demonstrates the implementation feasibility of passive CVQKD with spectrum resources in the terahertz band over the atmospheric turbulence channel. We achieve the channel transmittance characterized by the refractive index and the wavefront distortions. Moreover, an adaptive optics (AO) unit is used for performance improvement while considering the effect of the thermal noise and excess noise on the atmospheric turbulence bubble-modeled channel. Numerical simulations show that the AO-involved detection scheme can result in reductions in excess noise when being faced with the floating clouds and mist in atmospheric turbulence, which results in performance improvements in terms of secret key rate, which confirms the utility of the high-rate and long-distance CVQKD in terahertz (THz) for practical implementations.
Abstract Since the invention of the laser in the 60s, one of the most fundamental communication channels has been the free-space optical channel. For this type of channel, a number of effects generally need to be considered, including diffraction, refraction, atmospheric extinction, pointing errors and, most importantly, turbulence. Because of all these adverse features, the free-space channel is more difficult to study than a stable fiber-based link. For the same reasons, only recently it has been possible to establish the ultimate performances achievable in quantum communications via free-space channels. Differently from previous literature, mainly focused on the regime of weak turbulence, this work considers the free-space optical channel in the more challenging regime of moderate-to-strong turbulence. This regime may occur in long-distance free-space links on the ground, in uplink to high-altitude platform systems (HAPS) and, more interestingly, in downlink from near-horizon satellites. In such a regime we rigorously investigate ultimate limits for quantum communications and show that composable keys can be extracted using continuous variable quantum key distribution. In particular, we apply our results to downlink from satellites at large zenith angles, for which not only turbulence is strong but also refraction causes non-trivial effects in terms of trajectory elongation.