Qade: solving differential equations on quantum annealers

Criado, Juan Carlos; Spannowsky, Michael

doi:10.1088/2058-9565/acaa51

Qade: solving differential equations on quantum annealers

Criado, Juan Carlos; Spannowsky, Michael

Authors

Juan Carlos Criado

Professor Michael Spannowsky michael.spannowsky@durham.ac.uk
Director

Abstract

We present a general method, called Qade, for solving differential equations using a quantum annealer. One of the main advantages of this method is its flexibility and reliability. On current devices, Qade can solve systems of coupled partial differential equations that depend linearly on the solution and its derivatives, with non-linear variable coefficients and arbitrary inhomogeneous terms. We test this through several examples that we implement in state-of-the-art quantum annealers. The examples include a partial differential equation and a system of coupled equations. This is the first time that equations of these types have been solved in such devices. We find that the solution can be obtained accurately for problems requiring a small enough function basis. We provide a Python package implementing the method at gitlab.com/jccriado/qade.

Citation

Criado, J. C., & Spannowsky, M. (2023). Qade: solving differential equations on quantum annealers. Quantum Science and Technology, 8(1), Article 015021. https://doi.org/10.1088/2058-9565/acaa51

Journal Article Type	Article
Acceptance Date	Dec 9, 2022
Online Publication Date	Dec 21, 2022
Publication Date	2023
Deposit Date	May 9, 2023
Publicly Available Date	May 10, 2023
Journal	Quantum Science and Technology
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	8
Issue	1
Article Number	015021
DOI	https://doi.org/10.1088/2058-9565/acaa51

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