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Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly we provide a quantum algorithm that gives a quadratic…

Quantum Physics · Physics 2021-06-30 Dong An , Noah Linden , Jin-Peng Liu , Ashley Montanaro , Changpeng Shao , Jiasu Wang

Within this decade, quantum computers are predicted to outperform conventional computers in terms of processing power and have a disruptive effect on a variety of business sectors. It is predicted that the financial sector would be one of…

Quantum Physics · Physics 2023-03-10 Prateek Jain , Alberto Garcia Garcia

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…

Time series forecasting is a key tool in financial markets, helping to predict asset prices and guide investment decisions. In highly volatile markets, such as cryptocurrencies like Bitcoin (BTC) and Ethereum (ETH), forecasting becomes more…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Mabsur Fatin Bin Hossain , Lubna Zahan Lamia , Md Mahmudur Rahman , Md Mosaddek Khan

Volatility Skew and Smile of Interest Rate products (Swaption and Caplet) are represented by SABR (Stochastic Alpha Beta Rho model). So, the Interest Rate derivatives model for pricing the callable exotic swaps should be comparable to the…

Mathematical Finance · Quantitative Finance 2026-03-10 Osamu Tsuchiya

Automated Market Makers (AMMs) are used to provide liquidity for combinatorial prediction markets that would otherwise be too thinly traded. They offer both buy and sell prices for any of the doubly exponential many possible securities that…

Computer Science and Game Theory · Computer Science 2025-10-16 Maneesha Papireddygari , Xintong Wang , Bo Waggoner , David M. Pennock

This paper addresses the problem of pricing involved financial derivatives by means of advanced of deep learning techniques. More precisely, we smartly combine several sophisticated neural network-based concepts like differential machine…

Computational Finance · Quantitative Finance 2024-04-18 Francisco Gómez Casanova , Álvaro Leitao , Fernando de Lope Contreras , Carlos Vázquez

In this paper, we introduce an efficient and end-to-end quantum algorithm tailored for computing the Value-at-Risk (VaR) and conditional Value-at-Risk (CVar) for a portfolio of European options. Our focus is on leveraging quantum…

Quantum Physics · Physics 2024-06-04 Yusen Wu , Jingbo B. Wang , Yuying Li

The growing demand for solving large-scale, data-intensive linear and conic optimization problems, particularly in applications such as artificial intelligence and machine learning, has highlighted the limitations of classical interior…

Pricing of high-dimensional options is one of the most important problems in Mathematical Finance. The objective of this manuscript is to present an original self-contained treatment of the multidimensional pricing. During the past decades…

Mathematical Finance · Quantitative Finance 2015-10-27 Alexander Kushpel

We study the pricing of derivative securities in financial markets modeled by a sub-mixed fractional Brownian motion with jumps (smfBm-J), a non-Markovian process that captures both long-range dependence and jump discontinuities. Under this…

Pricing of Securities · Quantitative Finance 2025-07-01 Nader Karimi

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We…

Quantum Physics · Physics 2024-08-06 Abhishek Awasthi , Nico Kraus , Florian Krellner , David Zambrano

This paper investigates the application of Quantum Generative Adversarial Networks (QGANs) for stock price prediction. Financial markets are inherently complex, marked by high volatility and intricate patterns that traditional models often…

Machine Learning · Computer Science 2025-12-24 Sangram Deshpande , Gopal Ramesh Dahale , Sai Nandan Morapakula , Uday Wad

This paper is the documentation of a pre-study performed by AXA Konzern AG in collaboration with Fraunhofer ITWM to assess the relevance of quantum computing for the insurance industry. Beside a general overview of the status quo of quantum…

Quantum Physics · Physics 2022-10-13 Michael Adam

Classical machine learning theory and theory of quantum computations are among of the most rapidly developing scientific areas in our days. In recent years, researchers investigated if quantum computing can help to improve classical machine…

Quantum Physics · Physics 2019-06-26 D. V. Fastovets , Yu. I. Bogdanov , B. I. Bantysh , V. F. Lukichev

Quantum algorithms have the potential to enhance machine learning across a variety of domains and applications. In this work, we show how quantum machine learning can be used to improve financial forecasting. First, we use classical and…

Statistical Finance · Quantitative Finance 2024-04-05 Sohum Thakkar , Skander Kazdaghli , Natansh Mathur , Iordanis Kerenidis , André J. Ferreira-Martins , Samurai Brito

The analysis of decision-making process in electricity markets is crucial for understanding and resolving issues related to market manipulation and reduced social welfare. Traditional Multi-Agent Reinforcement Learning (MARL) method can…

Systems and Control · Electrical Eng. & Systems 2024-07-24 Shuyang Zhu , Ziqing Zhu , Linghua Zhu , Yujian Ye , Siqi Bu , Sasa Z. Djokic

Quantum machine learning (QML) is the use of quantum computing for the computation of machine learning algorithms. With the prevalence and importance of classical data, a hybrid quantum-classical approach to QML is called for. Parameterized…

Quantum Physics · Physics 2022-10-18 Daniel T. Chang

Quantum generative modeling using quantum circuit Born machines (QCBMs) shows promising potential for practical quantum advantage. However, discovering ans\"atze that are both expressive and hardware-efficient remains a key challenge,…

Quantum Physics · Physics 2025-09-11 Yaswitha Gujju , Romain Harang , Tetsuo Shibuya

In this article, we present a review of the recent developments on the topic of Multilevel Monte Carlo (MLMC) algorithm, in the paradigm of applications in financial engineering. We specifically focus on the recent studies conducted in two…

Computational Finance · Quantitative Finance 2022-09-30 Devang Sinha , Siddhartha P. Chakrabarty