中国物理B ›› 2025, Vol. 34 ›› Issue (12): 124703-124703.doi: 10.1088/1674-1056/ae067c

• • 上一篇    

Quantum error mitigation based on the Z-mixed-expression of the amplitude damping channel

Ting Li(李汀)1,†, Hangming Zhang(张航铭)1,2, Lingling Zheng(征玲玲)1, and Fei Li(李飞)1   

  1. 1 School of Communications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
    2 China Telecom Fujian Branch, Fuzhou 350000, China
  • 收稿日期:2025-07-12 修回日期:2025-09-14 接受日期:2025-09-15 发布日期:2025-11-25
  • 通讯作者: Ting Li E-mail:lit@njupt.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 62271265).

Quantum error mitigation based on the Z-mixed-expression of the amplitude damping channel

Ting Li(李汀)1,†, Hangming Zhang(张航铭)1,2, Lingling Zheng(征玲玲)1, and Fei Li(李飞)1   

  1. 1 School of Communications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
    2 China Telecom Fujian Branch, Fuzhou 350000, China
  • Received:2025-07-12 Revised:2025-09-14 Accepted:2025-09-15 Published:2025-11-25
  • Contact: Ting Li E-mail:lit@njupt.edu.cn
  • About author:2025-124703-251197.pdf
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 62271265).

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摘要： In the field of quantum error mitigation, most current research separately addresses quantum gate noise mitigation and measurement noise mitigation. However, due to the typically high complexity of measurement noise mitigation methods, such as those based on estimating response matrices, the overall complexity of noise mitigation schemes increases when combining measurement noise mitigation with other quantum gate noise mitigation approaches. This paper proposes a low-complexity quantum error mitigation scheme that jointly mitigates quantum gate and measurement noise, specifically when measurement noise manifests as an amplitude damping channel. The proposed scheme requires estimating only three parameters to jointly mitigate both types of noise, whereas the zero-noise extrapolation method enhanced by response matrix estimation requires estimating at least six parameters under the same conditions.

关键词: quantum error mitigation, measurement error mitigation, amplitude damping channel, lowcomplexity

Abstract: In the field of quantum error mitigation, most current research separately addresses quantum gate noise mitigation and measurement noise mitigation. However, due to the typically high complexity of measurement noise mitigation methods, such as those based on estimating response matrices, the overall complexity of noise mitigation schemes increases when combining measurement noise mitigation with other quantum gate noise mitigation approaches. This paper proposes a low-complexity quantum error mitigation scheme that jointly mitigates quantum gate and measurement noise, specifically when measurement noise manifests as an amplitude damping channel. The proposed scheme requires estimating only three parameters to jointly mitigate both types of noise, whereas the zero-noise extrapolation method enhanced by response matrix estimation requires estimating at least six parameters under the same conditions.

Key words: quantum error mitigation, measurement error mitigation, amplitude damping channel, lowcomplexity

中图分类号:  (Capillary and thermocapillary flows)

  • 47.55.nb
47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking) 47.11.Fg (Finite element methods)