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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.

Year of Publication 2025
Journal arXiv:2504.10771
Citation Key bibcite_185
URL http://arxiv.org/abs/2504.10771
DOI 10.48550/arXiv.2504.10771
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