The Effect of Acceleration on Continuous Variable Quantum Key Distribution with Discrete Modulation

The influence of gravity on quantum key distribution cannot be ignored in practical space communication, and this paper provides a thorough analysis of the effectiveness of discrete modulated states. By calculating the acceleration in both inertial and non-inertial reference systems with expectation values of the computational Heisenberg field respectively, the gain coefficient is obtained. Based on this parameter, an improved protocol with a high key rate over a transmission distance of 390 km is proposed, enabling the practical application of quantum key distribution techniques. Furthermore, the results obtained can be extended to the eight-state schemes. This paper not only extends the range of discrete modulation states, but also enhances the impact of relativistic quantum information.