In recent years, advancements in classical computing have grown rapidly; however, quantum computing is expected to surpass traditional computational limits and revolutionize multiple industries. Among these, the financial sector is anticipated to be one of the earliest beneficiaries, particularly for medium‑ and long‑term analytical tasks. This study investigates the role of quantum computation in financial modeling and portfolio optimization, emphasizing the value of classical convex optimization algorithms integrated with emerging quantum methods. Key areas in which quantum computing demonstrates potential include machine learning–based optimization, stochastic analysis, fraud detection, natural language processing, portfolio construction, risk estimation, and derivative valuation. Moreover, the practicality of deploying such algorithms on near‑term quantum hardware is explored, along with the suitability of various architectures for diverse financial use cases.
In recent years, advancements in classical computing have grown rapidly; however, quantum computing is expected to surpass traditional computational limits and revolutionize multiple industries. Among these, the financial sector is anticipated to be one of the earliest beneficiaries, particularly for medium‑ and long‑term analytical tasks. This study investigates the role of quantum computation in financial modeling and portfolio optimization, emphasizing the value of classical convex optimization algorithms integrated with emerging quantum methods. Key areas in which quantum computing demonstrates potential include machine learning–based optimization, stochastic analysis, fraud detection, natural language processing, portfolio construction, risk estimation, and derivative valuation. Moreover, the practicality of deploying such algorithms on near‑term quantum hardware is explored, along with the suitability of various architectures for diverse financial use cases.
Quantum computers are expected to surpass the computational capabilities of classical computers during this decade and have transformative impact on numerous industry sectors, particularly finance. In fact, finance is estimated to be the first industry sector to benefit from quantum computing, not only in the medium and long terms, but even in the short term. This survey paper presents a comprehensive summary of the state of the art of quantum computing for financial applications, with particular emphasis on stochastic modeling, optimization, and machine learning, describing how these solutions, adapted to work on a quantum computer, can potentially help to solve financial problems, such as derivative pricing, risk modeling, portfolio optimization, natural language processing, and fraud detection, more efficiently and accurately. We also discuss the feasibility of these algorithms on near-term quantum computers with various hardware implementations and demonstrate how they relate to a wide range of use cases in finance. We hope this article will not only serve as a reference for academic researchers and industry practitioners but also inspire new ideas for future research.
Quantum computing has emerged as a revolutionary computational paradigm capable of solving complex optimization and probabilistic problems that are computationally expensive for classical computers. The financial industry, characterized by large-scale datasets, uncertainty, stochastic behavior, and multidimensional optimization challenges, is increasingly exploring quantum computing to enhance decision-making processes. This paper presents a comprehensive investigation into the applications of quantum computing in financial modeling, emphasizing portfolio optimization, derivative pricing, risk assessment, fraud detection, and algorithmic trading. Unlike conventional computational techniques that suffer from exponential complexity when processing high-dimensional financial data, quantum algorithms leverage superposition, entanglement, and quantum parallelism to improve computational efficiency and solution quality. The study discusses fundamental quantum computing concepts, analyzes existing financial modeling frameworks, and examines how quantum algorithms such as Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolver (VQE), Quantum Monte Carlo (QMC), Grover’s Search Algorithm, and Quantum Machine Learning (QML) contribute to solving real-world financial problems. Furthermore, the paper reviews recent research developments, identifies implementation challenges associated with noisy intermediate-scale quantum (NISQ) devices, and highlights future opportunities for hybrid quantum-classical financial systems. The findings demonstrate that quantum computing has significant potential to transform computational finance by improving prediction accuracy, accelerating optimization tasks, and enabling scalable financial analytics for next-generation intelligent financial ecosystems.
Quantum computing is emerging as a transformative technology in financial portfolio optimization, offering the potential to process complex calculations at unprecedented speeds. This study explores the impact of quantum computing on financial decision-making through a case-based qualitative approach, analyzing real-world applications in leading financial institutions such as JPMorgan Chase, Goldman Sachs, and BBVA. The research highlights how quantum algorithms, including Quantum Approximate Optimization Algorithm (QAOA), Quantum Monte Carlo (QMC), and quantum annealing, are being utilized for risk management, asset pricing, and credit risk assessment. Findings indicate that while quantum computing enhances computational efficiency, scenario analysis, and optimization models, its widespread adoption is hindered by hardware limitations, high error rates, and regulatory uncertainties. The study emphasizes the growing relevance of hybrid quantum-classical models as a practical solution for near-term applications. Future advancements in quantum hardware, algorithm development, and financial cryptography are expected to drive broader adoption in financial markets. This research contributes to the ongoing discourse on quantum finance by providing empirical insights into the challenges and opportunities associated with quantum computing in portfolio optimization. The study concludes that while quantum computing is not yet fully commercialized, its long-term implications for financial risk assessment, high-frequency trading, and decision-making are profound.
Quantum computing is emerging as a transformative technology in financial portfolio optimization, offering the potential to process complex calculations at unprecedented speeds. This study explores the impact of quantum computing on financial decision-making through a case-based qualitative approach, analyzing real-world applications in leading financial institutions such as JPMorgan Chase, Goldman Sachs, and BBVA. The research highlights how quantum algorithms, including Quantum Approximate Optimization Algorithm (QAOA), Quantum Monte Carlo (QMC), and quantum annealing, are being utilized for risk management, asset pricing, and credit risk assessment. Findings indicate that while quantum computing enhances computational efficiency, scenario analysis, and optimization models, its widespread adoption is hindered by hardware limitations, high error rates, and regulatory uncertainties. The study emphasizes the growing relevance of hybrid quantum-classical models as a practical solution for near-term applications. Future advancements in quantum hardware, algorithm development, and financial cryptography are expected to drive broader adoption in financial markets. This research contributes to the ongoing discourse on quantum finance by providing empirical insights into the challenges and opportunities associated with quantum computing in portfolio optimization. The study concludes that while quantum computing is not yet fully commercialized, its long-term implications for financial risk assessment, high-frequency trading, and decision-making are profound.
In terms of computing capacity, quantum computers are expected to surpass conventional computers throughout this decade and have a seismic impact on a number of commercial sectors, particularly finance. In actuality, it is anticipated that the financial industry would reap both immediate and long-term benefits from quantum computing. The current state of quantum computing for financial applications is thoroughly evaluated in this survey research, with a focus on stochastic modelling, optimisation, and machine learning. It demonstrates how these methods could aid in more rapidly and efficiently resolving financial issues including derivative pricing, risk modelling and fraud detection if they were updated to operate on a quantum computer.The possibility of quantum computing as a ground-breaking tool for streamlining financial engineering procedures is examined in this research. Growing interest in using quantum computing to solve these problems is being driven by the complexity of financial systems and the computational rigor of financial engineering problems. The effectiveness of quantum computing in advancing optimization techniques in the field of financial engineering is assessed in this paper.
Quantum computing has emerged as a transformative computational paradigm, offering novel capabilities to tackle complex problems in finance—most notably in derivative pricing, risk management, and portfolio optimization. This review synthesizes recent advances in quantum algorithms and hybrid quantum–classical frameworks as applied to financial services, examining how technologies such as quantum-annealing, quantum amplitude estimation, and variational quantum circuits can improve efficiency, accuracy, and scalability over classical methods. The study provides a systematic assessment of key use-cases: (1) derivative pricing and greeks computation via quantum Monte Carlo and amplitude estimation; (2) risk management enhancements, including Value-at-Risk (VaR) and conditional VaR through quantum gradient estimation; and (3) portfolio optimization via QUBO (quadratic unconstrained binary optimization) mapping, the Quantum Approximate Optimization Algorithm (QAOA) and quantum annealing approaches. In addition to reviewing technological potential, the paper addresses critical barriers—hardware noise, coherence limitations, data integration, regulatory considerations—and outlines future research directions, including quantum-resilient cryptography in finance and industry coupling. By bringing together algorithmic, financial and regulatory perspectives, this review seeks to guide academics and practitioners toward the next frontier in financial computing.