Quantum Computing for Financial Mathematics

Paper: arXiv 2311.06621

Authors: Antoine Jacquier, Oleksiy Kondratyev, Gordon Lee, Mugad Oumgari

Abstract

Quantum computing has recently appeared in the headlines of many scientific and popular publications. In the context of quantitative finance, we provide here an overview of its potential.

Complexity vs Empirical Score

• Math Complexity: 4.0/10
• Empirical Rigor: 3.0/10
• Quadrant: Philosophers — conceptual discussion, limited math and data

Why this score: This paper serves as a high-level conceptual overview of quantum computing applications in financial mathematics without deep theoretical proofs or empirical backtesting. While it provides a clear introductory survey, it lacks actionable code, data validation, or rigorous mathematical derivations required for implementation.

Research Flowchart

  flowchart TD
    A[Research Goal: Evaluate Quantum Computing for Quantitative Finance] --> B[Literature Review & Algorithm Analysis]
    C[Inputs: Financial Math Problems & Quantum Speedup Metrics] --> B
    B --> D[Assess Quantum Algorithms: Portfolio & Pricing Models]
    D --> E[Outcome: Identification of Potential Algorithmic Speedups]
    D --> F[Outcome: Overview of Quantum Applications in Finance]