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arXiv · 2504.10771

Simon's Period Finding on a Quantum Annealer

Reece Robertson·Emery Doucet·Zakaria Mzaouali·Krzysztof Domino·Bartłomiej Gardas·Sebastian Deffner
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Abstract

Dating to 1994, Simon's period-finding algorithm is among the earliest and most fragile of quantum algorithms. The algorithm's fragility arises from the requirement that, to solve an n qubit problem, one must fault-tolerantly sample O(n) linearly independent values from a solution space. In this paper, we study an adiabatic implementation of Simon's algorithm that requires a constant number of successful samples regardless of problem size. We implement this algorithm on D-Wave hardware and solve problems with up to 298 qubits. We compare the runtime of classical algorithms to the D-Wave solution to analyze any potential advantage.

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Reece Robertson, Emery Doucet, Zakaria Mzaouali, Krzysztof Domino, Bartłomiej Gardas, Sebastian Deffner. 2025-04-15. Simon's Period Finding on a Quantum Annealer. https://doi.org/10.1109/qce65121.2025.00030

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