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arXiv · 2503.08449

Automated Quantum Algorithm Design using a Domain-Specific Language

Amy Rouillard·Matt Lourens·Francesco Petruccione
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Abstract

We present a computational method to automatically design the n-qubit realisations of quantum algorithms. Our approach leverages a domain-specific language (DSL) that enables the construction of quantum circuits via modular building blocks, making it well-suited for evolutionary search. In this DSL quantum circuits are abstracted beyond the usual gate-sequence description and scale automatically to any problem size. This enables us to learn the algorithm structure rather than a specific unitary implementation. We demonstrate our method by automatically designing three known quantum algorithms-the Quantum Fourier Transform, the Deutsch-Jozsa algorithm, and Grover's search. Remarkably, we were able to learn the general implementation of each algorithm by considering examples of circuits containing at most 5-qubits. Our method proves robust, as it maintains performance across increasingly large search spaces. Convergence to the relevant algorithm is achieved with high probability and with moderate computational resources.

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Amy Rouillard, Matt Lourens, Francesco Petruccione. 2025-11-13. Automated Quantum Algorithm Design using a Domain-Specific Language. https://arxiv.org/abs/2503.08449

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