This paper systematically reviews the historical development trajectory and current situation of quantum financial theory research through an in-depth review of relevant literature. This paper summarizes the history of the concept of quantum finance, elaborates on the development stages of quantum finance, and explains the contributions of representative work in different periods in various aspects, such as theoretical frameworks, mathematical models, and algorithmic tools, which is of great significance to the research path of quantum finance. In addition, the paper introduces in detail the research progress of domestic and foreign body problems, such as quantum algorithm optimization of investment portfolios, quantitative pricing of derivatives, quantum neural networks, etc., laying a good foundation for future in-depth study of this interdisciplinary subject. Overall, this paper systematically reviews the development history of quantum finance research, provides readers with a macro understanding framework by sorting out the progress in different research fields, and has significant reference value for interdisciplinary exchanges.

本文通过深入查阅相关文献，系统回顾了量子金融理论研究的历史发展轨迹和现状。本文总结了量子金融概念的历史，阐述了量子金融的发展阶段，并阐述了不同时期代表性工作在理论框架、数学模型、算法工具等各方面的贡献，具有重要意义。对量子金融的研究道路具有重要意义。此外，论文还详细介绍了投资组合的量子算法优化、衍生品量化定价、量子神经网络等国内外本体问题的研究进展，为今后深入研究量子问题奠定了良好的基础。这个跨学科的学科。总体而言，本文系统回顾了量子金融研究的发展历史，通过梳理不同研究领域的进展，为读者提供了一个宏观的理解框架，对于跨学科交流具有重要的参考价值。