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arXiv · 1912.02753

A Quantum algorithm for linear PDEs arising in Finance

Filipe Fontanela·Antoine Jacquier·Mugad Oumgari
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Abstract

We propose a hybrid quantum-classical algorithm, originated from quantum chemistry, to price European and Asian options in the Black-Scholes model. Our approach is based on the equivalence between the pricing partial differential equation and the Schrodinger equation in imaginary time. We devise a strategy to build a shallow quantum circuit approximation to this equation, only requiring few qubits. This constitutes a promising candidate for the application of Quantum Computing techniques (with large number of qubits affected by noise) in Quantitative Finance.

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Filipe Fontanela, Antoine Jacquier, Mugad Oumgari. 2021-02-04. A Quantum algorithm for linear PDEs arising in Finance. https://arxiv.org/abs/1912.02753

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