基于轨道角动量的高维贝尔态产生

寇芸洁; 范亚男; 朱雁兵; 尚佳奇; 王斐然

doi:10.13756/j.gtxyj.2026.240144

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基于轨道角动量的高维贝尔态产生

光通信系统与网络技术 | 更新时间：2026-03-03

- 基于轨道角动量的高维贝尔态产生
- High-Dimensional Bell State Generation based on Orbital Angular Momentum
- 光通信研究 2026年第1期
- 作者机构：
  
  西安工程大学　理学院，西安　 710048
- 作者简介：
  
  寇芸洁（2000-），女，陕西西安人。硕士，主要研究方向为量子计算与量子信息。
  王斐然，副教授。E-mail：feiran0325@xjtu.edu.cn
- 基金信息：
  
  国家自然科学基金青年科学基金资助项目(11804271)
- DOI：10.13756/j.gtxyj.2026.240144
  中图分类号： TN929
- 收稿：2024-06-04，
  
  修回：2024-08-19，
  
  纸质出版：2026-02-10
- 稿件说明：
移动端阅览
寇芸洁，范亚男，朱雁兵，等. 基于轨道角动量的高维贝尔态产生[J]. 光通信研究，2026(1): 240144.

Kou Y J, Fan Y N, Zhu Y B, et al. High-Dimensional Bell State Generation based on Orbital Angular Momentum[J]. Study on Optical Communications, 2026(1): 240144.
寇芸洁，范亚男，朱雁兵，等. 基于轨道角动量的高维贝尔态产生[J]. 光通信研究，2026(1): 240144. DOI： 10.13756/j.gtxyj.2026.240144.

Kou Y J, Fan Y N, Zhu Y B, et al. High-Dimensional Bell State Generation based on Orbital Angular Momentum[J]. Study on Optical Communications, 2026(1): 240144. DOI： 10.13756/j.gtxyj.2026.240144.

摘要

目的

量子通信是一种具有广阔应用前景的新型通信方式，其与经典的信息科学技术相结合，具有无条件安全性以及对信息的高效传输等特性，是当今通信领域的研究热点。高维量子纠缠通常具有很强的非局域性，能够更好地保障量子通信过程中的安全性，在量子通信和量子计算中扮演着至关重要的角色。为了满足量子信息科学对高维量子纠缠态的需求，文章提出了一种基于光子轨道角动量（OAM）的高维贝尔态产生方法，能够高保真度地生成所需的完备贝尔态基矢。

方法

文中首先研究了光子OAM的自发参量下转换（SPDC）过程，并进一步利用遗传算法（GA）对泵浦光的量子态进行优化，以获得所需的高维最大纠缠态。文章详细分析了拉盖尔高斯（LG）光束的特性，并探讨了其在SPDC过程中的应用，通过优化泵浦光的各参数，在三维、四维和五维空间中产生了最大纠缠态。

结果

通过空间模式光谱分布对比表明，优化后的纠缠态与目标态具有更高的保真度。此外，通过模拟产生16个贝尔态，验证了生成的量子态能构成四维希尔伯特空间的完备基。

结论

文章所提方案不仅实现了高维纠缠态的有效产生，也使更长距离的量子通信，甚至在全球范围内实现量子通信系统成为可能。而且为量子通信和量子计算领域中的高维纠缠态的应用提供了新的途径，对推动量子信息科学的发展具有重要意义。

Abstract

Objective

Quantum communication is an emerging mode of communication with broad application prospects

combining with classical information science and technology. It offers unconditional security and efficient transmission of information

making it a hot research topic in todayƳs communication field. High-dimensional quantum entanglement often exhibits strong nonlocality

enhancing the security in quantum communication processes and playing a crucial role in quantum communication and computing. To meet the demand for high-dimensional entangled states in quantum information science

this paper proposes a method for generating high-dimensional Bell states based on the Orbital Angular Momentum (OAM) of photons

capable of producing the complete set of Bell state basis vectors with high fidelity.

Methods

Initially

the Spontaneous Parametric Down-Conversion (SPDC) process involving photon OAM is studied. Furthermore

a Genetic Algorithm (GA) is employed to optimize the quantum state of the pump light

aiming to obtain the required high-dimensional maximally entangled states. We analyze the characteristics of Laguerre-Gaussian (LG) beams in detail and explore their application in the SPDC process. By optimizing the parameters of the pump light

maximally entangled states are generated in three-dimensional

four-dimensional

and five-dimensional spaces.

Results

A comparison of the spatial mode spectral distribution shows that the optimized entangled states possess higher fidelity to the target states. Additionally

by simulating the generation of 16 Bell states

it is verified that the produced quantum states form a complete basis for a four-dimensional Hilbert space.

Conclusion

The proposed scheme not only effectively generates high-dimensional entangled states but also enables longer-distance quantum communication and potentially global quantum communication systems. Moreover

it provides new avenues for the application of high-dimensional entangled states in the fields of quantum communication and computing

significantly contributing to the advancement of quantum information science.

关键词

Keywords

references

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