An Efficient Quantum Factoring Algorithm

Oded Regev

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arXiv · 2308.06572

An Efficient Quantum Factoring Algorithm

Oded Regev

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Abstract

We show that $n$-bit integers can be factorized by independently running a quantum circuit with $\tilde{O}(n^{3/2})$ gates for $\sqrt{n}+4$ times, and then using polynomial-time classical post-processing. The correctness of the algorithm relies on a number-theoretic heuristic assumption reminiscent of those used in subexponential classical factorization algorithms. It is currently not clear if the algorithm can lead to improved physical implementations in practice.

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Oded Regev. 2023-08-12. An Efficient Quantum Factoring Algorithm. https://arxiv.org/abs/2308.06572

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