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We extend variational quantum optimization algorithms for Quadratic Unconstrained Binary Optimization problems to the class of Mixed Binary Optimization problems. This allows us to combine binary decision variables with continuous decision…

Quantum Physics · Physics 2021-09-13 Lee Braine , Daniel J. Egger , Jennifer Glick , Stefan Woerner

Quantum computers are expected to contribute more efficient and accurate ways of modeling economic processes. Quantum hardware is currently available at a relatively small scale, but effective algorithms are limited by the number of logic…

Quantum Physics · Physics 2024-01-18 Dominic Widdows , Amit Bhattacharyya

We formulate quantum computing solutions to a large class of dynamic nonlinear asset pricing models using algorithms, in theory exponentially more efficient than classical ones, which leverage the quantum properties of superposition and…

Pricing of Securities · Quantitative Finance 2025-08-26 Eric Ghysels , Jack Morgan

Quantum computers are expected to surpass the computational capabilities of classical computers during this decade, and achieve disruptive impact on numerous industry sectors, particularly finance. In fact, finance is estimated to be the…

We propose a simple non-equilibrium model of a financial market as an open system with a possible exchange of money with an outside world and market frictions (trade impacts) incorporated into asset price dynamics via a feedback mechanism.…

Statistical Finance · Quantitative Finance 2019-05-29 Igor Halperin , Matthew Dixon

With the advent of exascale computing, effective load balancing in massively parallel software applications is critically important for leveraging the full potential of high performance computing systems. Load balancing is the distribution…

Quantum Physics · Physics 2025-01-30 Omer Rathore , Alastair Basden , Nicholas Chancellor , Halim Kusumaatmaja

With the advent of novel quantum computing technologies, and the knowledge that such technology might be used to fundamentally change computing applications, a prime opportunity has presented itself to investigate the practical application…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Kevin Wils , Boyang Chen

Accurate and efficient pricing of multi-asset basket options poses a significant challenge, especially when dealing with complex real-world data. In this work, we investigate the role of quantum-enhanced uncertainty modeling in financial…

Quantum Physics · Physics 2026-02-12 Muhammad Kashif , Shaf Khalid , Nouhaila Innan , Alberto Marchisio , Muhammad Shafique

Portfolio construction has been a long-standing topic of research in finance. The computational complexity and the time taken both increase rapidly with the number of investments in the portfolio. It becomes difficult, even impossible for…

Computational Engineering, Finance, and Science · Computer Science 2024-10-17 Queenie Sun , Nicholas Grablevsky , Huaizhang Deng , Pooya Azadi

Current hardware limitations restrict the potential when solving quadratic unconstrained binary optimization (QUBO) problems via the quantum approximate optimization algorithm (QAOA) or quantum annealing (QA). Thus, we consider training…

Quantum Physics · Physics 2020-04-30 Thomas Gabor , Sebastian Feld , Hila Safi , Thomy Phan , Claudia Linnhoff-Popien

In finance, assessing the creditworthiness of loan applicants requires lenders to cluster borrowers using rating scales. Financial institutions must define the scales in compliance with strict institutional constraints, resulting in solving…

Quantum annealing is a computational approach designed to leverage quantum fluctuations for solving large-scale classical optimization problems. Although incorporating standard transverse field (TF) terms in the annealing process can help…

Quantum Physics · Physics 2025-05-06 Henning Schlömer , Subir Sachdev

Classical algorithms for market equilibrium computation such as proportional response dynamics face scalability issues with Internet-based applications such as auctions, recommender systems, and fair division, despite having an almost…

Quantum Physics · Physics 2026-01-06 Po-Wei Huang , Patrick Rebentrost

Financial volatility risk and its relation to a business cycle-related intrinsic time is addressed through a multiple round evolutionary quantum game equilibrium leading to turbulence and multifractal signatures in the financial returns and…

Risk Management · Quantitative Finance 2012-01-04 Carlos Pedro Gonçalves

Recent advances in quantum hardware offer new approaches to solve various optimization problems that can be computationally expensive when classical algorithms are employed. We propose a hybrid quantum-classical algorithm to solve a dynamic…

Quantum Physics · Physics 2023-03-23 H. Xu , S. Dasgupta , A. Pothen , A. Banerjee

Many artificial intelligence (AI) problems naturally map to NP-hard optimization problems. This has the interesting consequence that enabling human-level capability in machines often requires systems that can handle formally intractable…

Quantum Physics · Physics 2009-09-29 Hartmut Neven , Geordie Rose , William G. Macready

Our goal is to find representative nodes of a market graph that best replicate the returns of a broader market graph (index), a common task in the financial industry. We model our reference index as a market graph and express the index…

Social and Information Networks · Computer Science 2021-01-13 Seo Hong , Pierre Miasnikof , Roy Kwon , Yuri Lawryshyn

In this work, we attempt to solve the integer-weight knapsack problem using the D-Wave 2000Q adiabatic quantum computer. The knapsack problem is a well-known NP-complete problem in computer science, with applications in economics, business,…

Quantum Physics · Physics 2020-08-18 Lauren Pusey-Nazzaro , Prasanna Date

The first quantum computers are expected to perform well at quadratic optimisation problems. In this paper a quadratic problem in finance is taken, the Portfolio Optimisation problem. Here, a set of assets is chosen for investment, such…

Portfolio Management · Quantitative Finance 2020-12-03 Frank Phillipson , Harshil Singh Bhatia

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both…

Quantum Physics · Physics 2009-10-31 Barbara M. Terhal , David P. DiVincenzo
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