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Annals of Physics

Effects of gravity on passive-state continuous variable quantum key distribution

Yuying Zhang, Jiayan Fu, Jian Zhou, Yanyan Feng, Ronghua Shi, Jinjing Shi

Published Mar 22, 2025• 1 citation
Publisher
DOI
10.1016/j.aop.2025.170003

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The influence of gravity on quantum key distribution cannot be ignored in practical space communication. This paper provides a thorough analysis of the effectiveness of gravity on continuous-variable quantum key distribution with discrete-modulated states. By calculating the acceleration in both inertial and non-inertial reference systems based on the discrete variable variance calculation formula, the gain coefficient is obtained. Based on this parameter, an improved protocol with a high key rate over a spatial transmission distance of 390 km is proposed, enabling the practical application of quantum key distribution techniques. The results can be used to demonstrate the performance of continuous-variable quantum key distribution with discrete modulation influenced by gravity. This paper not only extends the range of discrete modulation states, but also enhances the impact of relativistic quantum information.
Continuous-variable quantum key distribution has gradually shifted from optical fiber communication to space communication. In free-space quantum communication, the influence of gravity cannot be ignored. In light of the influence of gravity, this study assesses the efficacy of the thermal-state continuous-variable quantum key distribution (QKD) protocol in a non-inertial reference frame. This differs from the conventional scenario in an inertial reference frame, where pure vacuum Gaussian states are employed without consideration of the influence of gravity. This study examines the potential and challenges of quantum key distribution in the presence of gravitational effects. The feasibility of generating the key under the influence of gravity through the lens of quantum state transfer in a non-inertial reference system is also analyzed. It presents a comprehensive mathematical derivation and simulation of the secret key rate for maintaining a positive rate under specific conditions. Furthermore, it presents a detailed implementation plan for thermal-state quantum key distribution in a non-inertial reference frame, particularly in the context of gravity. It offers valuable insights into the performance of quantum communication in unconventional settings.