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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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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