Recent advancements in quantum computing have opened up new opportunities to explore its potential applications in various fields, including finance. In this article, we will delve into deep quantum neural networks (DQNNs) and their possible applications in finance.
The Power of DQNNs
A DQNN is a natural generalization of classical deep neural networks, which Beer et al. proposed in 2020. This type of network can be used to solve complex problems in finance, such as learning implied volatilities and option prices. This paper will discuss the potential applications of DQNNs in finance and explore their capabilities.
The Current State of Quantum Computing in Finance
Recently, there has been a significant amount of research on the application of quantum computing to various fields, including finance. For example, Stamatopoulos et al. (2020) applied a quantum algorithm called amplitude estimation proposed by Brassard et al. (2002) to derivative pricing and achieved a quadratic speedup relative to the Monte Carlo method. This is just one example of how quantum computing can be used to solve complex problems in finance.
The Potential of DQNNs in Finance
This paper will discuss the potential applications of DQNNs in finance. We will explore how these networks can be used to learn implied volatilities and option prices and compute Greeks such as delta and gamma, which are important measures in risk management.
The Future of Quantum Computing in Finance
As quantum computing continues to advance, we will likely see more applications of this technology in finance. In fact, Woerner and Egger (2019) have already applied a quantum algorithm to the valuation of Value at Risk (VaR) and Conditional Value at Risk (CVaR). This is just one example of how quantum computing can be used to solve complex problems in finance.
This article discusses the potential applications of DQNNs in finance. We have explored how these networks can be used to learn implied volatilities and option prices, as well as compute Greeks such as delta and gamma, which are essential measures in risk management. As quantum computing continues to advance, we will likely see more applications of this technology in finance.
Publication details: “Application of Deep Quantum Neural Networks to Finance”
Publication Date: 2024-05-01
Authors: Takayuki Sakuma
Source: Wilmott
DOI: https://doi.org/10.54946/wilm.12042
