The rise of quantum technologies has led to growing interest in exploring the useof quantum circuits alongside ML models—also referred to as Quantum Machine Learning(QML)—to enhance the development of new applications, such as through Parametrized Quantum Circuits (PQCs). Among the applications enabled by the use of PQCs in the financialworld, some of the most relevant include the computation of risk metrics, aswell as the option pricing of financial derivatives. This work aims to illustrate the study of the aforementioned applications, where the main idea consists in approximating, through the PQC, the underlying distribution of the assets and the payoff function, and from there, computing risk metrics and derivative prices.
The rise of quantum technologies has led to growing interest in exploring the useof quantum circuits alongside ML models—also referred to as Quantum Machine Learning(QML)—to enhance the development of new applications, such as through Parametrized Quantum Circuits (PQCs). Among the applications enabled by the use of PQCs in the financialworld, some of the most relevant include the computation of risk metrics, aswell as the option pricing of financial derivatives. This work aims to illustrate the study of the aforementioned applications, where the main idea consists in approximating, through the PQC, the underlying distribution of the assets and the payoff function, and from there, computing risk metrics and derivative prices.
Machine learning and quantum machine learning (QML) have gained significant importance, as they offer powerful tools for tackling complex computational problems across various domains. This work gives an extensive overview of QML uses in quantitative finance, an important discipline in the financial industry. We examine the connection between quantum computing and machine learning in financial applications, spanning a range of use cases including fraud detection, underwriting, Value at Risk, stock market prediction, portfolio optimization, and option pricing by overviewing the corpus of literature concerning various financial subdomains.
The growing complexity, interdependencies, and rapid fluctuations inherent in modern financial markets create substantial challenges for accurate forecasting, portfolio optimization, and risk management. Conventional machine learning techniques, while powerful, often face limitations in capturing nonlinear relationships and processing high-dimensional datasets efficiently. Quantum machine learning (QML) has emerged as a promising paradigm that leverages quantum computing principles to enhance predictive modeling in finance. This study presents a comprehensive investigation into the application of QML methods—including variational quantum circuits, quantum kernel estimation, and quantum-enhanced support vector machines—for financial time-series prediction and asset price classification. We propose a hybrid quantum-classical framework that integrates quantum feature mapping with classical optimizers to improve model expressiveness and convergence. Empirical experiments are conducted using historical stock market data and synthetic datasets to benchmark QML approaches against established classical models such as long short-term memory networks and gradient boosting machines. The results demonstrate that QML techniques can achieve superior prediction accuracy and lower computational latency under certain data regimes, particularly when dealing with small-to-medium-sized datasets and high feature correlations. Additionally, the study examines scalability considerations, hardware constraints of near-term quantum devices, and the interpretability of quantum model outputs in financial decision-making contexts. The findings underscore the transformative potential of quantum machine learning as an innovative tool for advancing predictive analytics in finance and provide practical insights into how financial institutions can begin integrating QML capabilities into their workflows.
The ongoing progress in quantum technologies has fueled a sustained exploration of their potential applications across various domains. One particularly promising field is quantitative finance, where a central challenge is the pricing of financial derivatives-traditionally addressed through Monte Carlo integration techniques. In this work, we introduce two hybrid classical-quantum methods to address the option pricing problem. These approaches rely on reconstructing Fourier series representations of statistical distributions from the outputs of Quantum Machine Learning (QML) models based on Parametrized Quantum Circuits (PQCs). We analyze the impact of data size and PQC dimensionality on performance. Quantum Accelerated Monte Carlo (QAMC) is employed as a benchmark to quantitatively assess the proposed models in terms of computational cost and accuracy in the extraction of Fourier coefficients. Through the numerical experiments, we show that the proposed methods achieve remarkable accuracy, becoming a competitive quantum alternative for derivatives valuation.
Abstract Machine learning (ML) and quantum machine learning (QML) have gained significant importance, as they offer powerful tools for tackling complex computational problems across various domains. An overview of QML's uses in quantitative finance is presented here. The connection between quantum computing and machine learning in financial applications, spanning a range of use cases including portfolio optimization, market prediction and trading, pricing and risk management is examined. The different applications from the literature review are categorized based on specific use cases, ML approaches, optimization methods, and the types of quantum hardware utilized. To facilitate this examination, we employ a morphological box, which allows us to analyze different combinations of these elements across financial use cases.
The synergy between quantum computing and machine learning gives future potential in the financial sector. The unique features such as superposition and entanglement in quantum computing are utilized in Quantum Machine Learning (QML) to solve the challenges that dominate the modern era of finance. The subject of this paper explains the use of Quantum Machine Learning (QML) in finance including risk management, portfolio optimization, market trend forecasting, and fraud detection. In portfolio optimization, the aim is to reduce risk at the same time maximizing return, the quantum-enhanced methodology does it better than the classical method. QML is applied for risk analysis because it efficiently computes values such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). In finance, improved sentiment analysis, anomaly detection to prevent fraud, and prediction of market trends are enabled with QML algorithms. QML improves credit rating, financial time series forecasting, and derivative pricing with its ability to process large amounts of data.
Quantum computing has the potential to revolutionize many industries, including banking. It is expected that by the end of this decade, quantum computers will have surpassed regular computers in processing capabilities, which will have far-reaching consequences for many sectors, including the financial sector. In particular, it is predicted that the financial industry will gain the most in the short, medium, and long term from using quantum computing. The authors of this chapter discuss the potential benefits of combining machine learning with quantum computing for use in financial modeling. Combining quantum computing and machine learning, or quantum machine learning (QML), provides novel approaches to solving difficult economic problems that classical computers are ill-equipped to tackle. The benefits of employing QML for risk management, credit rating, portfolio optimization, option pricing, and uncovering arbitrage opportunities are addressed, as well as an introduction to the principles of quantum computing. It also describes the quantum hardware and software and the potential challenges and ethical problems associated with QML’s use in the financial sector.