中国物理B ›› 2025, Vol. 34 ›› Issue (9): 94206-094206.doi: 10.1088/1674-1056/add4f2

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Entropy evolution law of a general linear state for diffusion noise

Yingyu Zhang(张映玉)1,† and Yixing Wang(王依兴)2,‡   

  1. 1 School of Information Science and Technology, Hainan Normal University, Haikou 571127, China;
    2 School of Automation and Electrical Engineering, Linyi University, Linyi 276000, China
  • 收稿日期:2024-12-31 修回日期:2025-04-28 接受日期:2025-05-07 出版日期:2025-08-21 发布日期:2025-09-09
  • 通讯作者: Yingyu Zhang, Yixing Wang E-mail:zhyy8070@126.com;wangyixing@lyu.edu.cn
  • 基金资助:
    general linear state|diffusion channel|quantum statistical property|entropy evolution

Entropy evolution law of a general linear state for diffusion noise

Yingyu Zhang(张映玉)1,† and Yixing Wang(王依兴)2,‡   

  1. 1 School of Information Science and Technology, Hainan Normal University, Haikou 571127, China;
    2 School of Automation and Electrical Engineering, Linyi University, Linyi 276000, China
  • Received:2024-12-31 Revised:2025-04-28 Accepted:2025-05-07 Online:2025-08-21 Published:2025-09-09
  • Contact: Yingyu Zhang, Yixing Wang E-mail:zhyy8070@126.com;wangyixing@lyu.edu.cn
  • Supported by:
    Project supported by the Natural Science Foundation of Hainan Province, China (Grant Nos. 621RC741 and 622RC668).

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摘要： Based on the Kraus operator-sum representation of the analytical solution of the diffusion equation, we obtain the evolution of a general linear state in the diffusion channel. Also, we study the quantum statistical properties of the initial general linear state and its von-Neumann entropy evolution in the diffusion channel, especially find that the entropy evolution is influenced by the diffusion noise and the thermal parameter but without the displacement.

关键词: general linear state, diffusion channel, quantum statistical property, entropy evolution

Abstract: Based on the Kraus operator-sum representation of the analytical solution of the diffusion equation, we obtain the evolution of a general linear state in the diffusion channel. Also, we study the quantum statistical properties of the initial general linear state and its von-Neumann entropy evolution in the diffusion channel, especially find that the entropy evolution is influenced by the diffusion noise and the thermal parameter but without the displacement.

Key words: general linear state, diffusion channel, quantum statistical property, entropy evolution

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.-w (Quantum mechanics) 05.30.-d (Quantum statistical mechanics)