Qade: Solving Differential Equations on Quantum Annealers
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Abstract (arXiv)
We present a general method, called Qade, for solving differential equations using a quantum annealer. The solution is obtained as a linear combination of a set of basis functions. 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 the method with several examples and find that state-of-the-art quantum annealers can find the solution accurately for problems requiring a small enough function basis. We provide a Python package implementing the method at gitlab.com/jccriado/qade.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 17 of its 50 references that are in the map. First posted on arXiv 7 Apr 2022.
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5 more
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