A Modular Engine for Quantum Monte Carlo Integration

TL;DR

The paper introduces a modular quantum engine for multi-dimensional integral evaluation, enhancing quantum algorithms for scientific and financial applications with improved robustness and resource quantification.

Contribution

It presents a novel modular quantum Monte Carlo integration engine with advanced amplitude estimation and resource analysis capabilities.

Findings

Demonstrates improved statistical robustness in quantum integration

Provides detailed benchmarks for financial instrument evaluation

Offers a flexible, extensible architecture for quantum algorithms

Abstract

We present the Quantum Monte Carlo Integration (QMCI) engine developed by Quantinuum. It is a quantum computational tool for evaluating multi-dimensional integrals that arise in various fields of science and engineering such as finance. This white paper presents a detailed description of the architecture of the QMCI engine, including a variety of distribution-loading methods, a novel quantum amplitude estimation method that improves the statistical robustness of QMCI calculations, and a library of statistical quantities that can be estimated. The QMCI engine is designed with modularity in mind, allowing for the continuous development of new quantum algorithms tailored in particular to financial applications. Additionally, the engine features a resource mode, which provides a precise resource quantification for the quantum circuits generated. The paper also includes extensive benchmarks that showcase the engine's performance, with a focus on the evaluation of various financial instruments.