Quantum-inspired Machine Learning (QiML) is a burgeoning field, receiving global attention from researchers for its potential to leverage principles of quantum mechanics within classical computational frameworks. However, current review literature often presents a superficial exploration of QiML, focusing instead on the broader Quantum Machine Learning (QML) field. In response to this gap, this survey provides an integrated and comprehensive examination of QiML, exploring QiML's diverse research domains including tensor network simulations, dequantized algorithms, and others, showcasing recent advancements, practical applications, and illuminating potential future research avenues. Further, a concrete definition of QiML is established by analyzing various prior interpretations of the term and their inherent ambiguities. As QiML continues to evolve, we anticipate a wealth of future developments drawing from quantum mechanics, quantum computing, and classical machine learning, enriching the field further. This survey serves as a guide for researchers and practitioners alike, providing a holistic understanding of QiML's current landscape and future directions.

量子启发式机器学习（QiML）是一个新兴的领域，受到全球研究人员的关注，因为它有潜力在经典计算框架中利用量子力学原理。本文通过对QiML进行综合和全面的调查，探索了QiML的多个研究领域，包括张量网络模拟、去量化算法等，展示了最新进展、实际应用，并揭示了潜在的未来研究方向。同时，通过分析对QiML的不同解释及其固有的模糊性，确立了QiML的具体定义。在量子力学、量子计算和经典机器学习的基础上，QiML将不断发展，并丰富该领域的未来。本调查为研究人员和从业人员提供指南，帮助他们全面了解QiML的现状和未来发展方向。

量子启发式机器学习综述