中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30303-030303.doi: 10.1088/1674-1056/ada549

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Continuous-variable quantum secure direct communication based on N-APSK with Boltzmann-Maxwell distribution

Zheng-Wen Cao(曹正文), Yu-Jie Zhang(张昱洁), Geng Chai(柴庚)†, Zhang-Tao Liang(梁章韬), Xin-Lei Chen(陈欣蕾), Lei Wang(王磊), and Yu-Jie Wang(王禹杰)   

  1. Laboratory of Quantum Information and Technology, School of Information Science and Technology, Northwest University, Xi'an 710127, China
  • 收稿日期:2024-09-29 修回日期:2024-12-20 接受日期:2025-01-03 发布日期:2025-03-15
  • 通讯作者: Geng Chai E-mail:chai.geng@nwu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62071381 and 62301430), Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 23JSY014), Scientific Research Plan Project of Shaanxi Education Department (Natural Science Special Project (Grant No. 23JK0680), and Young Talent Fund of Xi’an Association for Science and Technology (Grant No. 959202313011).

Continuous-variable quantum secure direct communication based on N-APSK with Boltzmann-Maxwell distribution

Zheng-Wen Cao(曹正文), Yu-Jie Zhang(张昱洁), Geng Chai(柴庚)†, Zhang-Tao Liang(梁章韬), Xin-Lei Chen(陈欣蕾), Lei Wang(王磊), and Yu-Jie Wang(王禹杰)   

  1. Laboratory of Quantum Information and Technology, School of Information Science and Technology, Northwest University, Xi'an 710127, China
  • Received:2024-09-29 Revised:2024-12-20 Accepted:2025-01-03 Published:2025-03-15
  • Contact: Geng Chai E-mail:chai.geng@nwu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62071381 and 62301430), Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 23JSY014), Scientific Research Plan Project of Shaanxi Education Department (Natural Science Special Project (Grant No. 23JK0680), and Young Talent Fund of Xi’an Association for Science and Technology (Grant No. 959202313011).

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摘要： Continuous-variable quantum secure direct communication (CVQSDC) with Gaussian modulation (GM) demands a considerable quantity of random numbers during the preparation process and encodes them separately on the quadrature components of the quantum states. Hence, high-speed random number generators are required to satisfy this demand, which is difficult to implement in practical applications. CVQSDC with discrete modulation (DM), correspondingly, employs a finite number of quantum states to achieve encoding, which can circumvent the shortcomings of the GM scheme. Based on the advantages of DM, the issue of attaining the most optimal secrecy capacity and communication distance remains to be resolved. Here, we propose a CVQSDC protocol based on $N$-symbol amplitude phase shift keying ($N$-APSK), which exploits the Boltzmann-Maxwell distribution assisted probability shaping technique. In comparison with the uniform distribution, according to 32-APSK CVQSDC, the proposed scheme extends the communication distance by about 38%, while obtaining a higher secrecy capacity at the same communication distance. Furthermore, increasing the value of $N$ will concurrently increase the quantity of rings in the constellation, thereby facilitating enhancements of communication distance. This work incorporates the modulation approaches prevalently employed in classical communication into the realm of quantum communication, attaining gratifying advancements in communication distance and secrecy capacity, and concurrently facilitating the integrated development of quantum communication and classical communication.

关键词: quantum secure direct communication, discrete-modulation, amplitude phase shift keying, Boltzmann-Maxwell distribution

Abstract: Continuous-variable quantum secure direct communication (CVQSDC) with Gaussian modulation (GM) demands a considerable quantity of random numbers during the preparation process and encodes them separately on the quadrature components of the quantum states. Hence, high-speed random number generators are required to satisfy this demand, which is difficult to implement in practical applications. CVQSDC with discrete modulation (DM), correspondingly, employs a finite number of quantum states to achieve encoding, which can circumvent the shortcomings of the GM scheme. Based on the advantages of DM, the issue of attaining the most optimal secrecy capacity and communication distance remains to be resolved. Here, we propose a CVQSDC protocol based on $N$-symbol amplitude phase shift keying ($N$-APSK), which exploits the Boltzmann-Maxwell distribution assisted probability shaping technique. In comparison with the uniform distribution, according to 32-APSK CVQSDC, the proposed scheme extends the communication distance by about 38%, while obtaining a higher secrecy capacity at the same communication distance. Furthermore, increasing the value of $N$ will concurrently increase the quantity of rings in the constellation, thereby facilitating enhancements of communication distance. This work incorporates the modulation approaches prevalently employed in classical communication into the realm of quantum communication, attaining gratifying advancements in communication distance and secrecy capacity, and concurrently facilitating the integrated development of quantum communication and classical communication.

Key words: quantum secure direct communication, discrete-modulation, amplitude phase shift keying, Boltzmann-Maxwell distribution

中图分类号:  (Quantum information)

  • 03.67.-a
03.67.Hk (Quantum communication) 03.67.Dd (Quantum cryptography and communication security) 42.50.Ex (Optical implementations of quantum information processing and transfer)