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Article

Thermal-State Continuous-Variable Quantum Key Distribution Under the Effects of Gravity

1
School of Software, Changsha Social Work College, Changsha 410004, China
2
College of Computer and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China
*
Author to whom correspondence should be addressed.
Entropy 2026, 28(5), 501; https://doi.org/10.3390/e28050501
Submission received: 14 March 2026 / Revised: 20 April 2026 / Accepted: 25 April 2026 / Published: 28 April 2026
(This article belongs to the Special Issue Recent Advances in Continuous-Variable Quantum Key Distribution)

Abstract

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.
Keywords: continuous variable quantum key distribution; thermal-state; gravity continuous variable quantum key distribution; thermal-state; gravity

Share and Cite

MDPI and ACS Style

Zhang, L.; Huang, J.; Zhou, J. Thermal-State Continuous-Variable Quantum Key Distribution Under the Effects of Gravity. Entropy 2026, 28, 501. https://doi.org/10.3390/e28050501

AMA Style

Zhang L, Huang J, Zhou J. Thermal-State Continuous-Variable Quantum Key Distribution Under the Effects of Gravity. Entropy. 2026; 28(5):501. https://doi.org/10.3390/e28050501

Chicago/Turabian Style

Zhang, Li, Jiannan Huang, and Jian Zhou. 2026. "Thermal-State Continuous-Variable Quantum Key Distribution Under the Effects of Gravity" Entropy 28, no. 5: 501. https://doi.org/10.3390/e28050501

APA Style

Zhang, L., Huang, J., & Zhou, J. (2026). Thermal-State Continuous-Variable Quantum Key Distribution Under the Effects of Gravity. Entropy, 28(5), 501. https://doi.org/10.3390/e28050501

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