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arXiv · 1912.09264

Improved quantum algorithm for the random subset sum problem

Yang Li·Hongbo Li
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Abstract

Solving random subset sum instances plays an important role in constructing cryptographic systems. For the random subset sum problem, in 2013 Bernstein et al. proposed a quantum algorithm with heuristic time complexity $\widetilde{O}(2^{0.241n})$, where the "$\widetilde{O}$" symbol is used to omit poly($\log n$) factors. In 2018, Helm and May proposed another quantum algorithm that reduces the heuristic time and memory complexity to $\widetilde{O}(2^{0.226n})$. In this paper, a new quantum algorithm is proposed, with heuristic time and memory complexity $\widetilde{O}(2^{0.209n})$.

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Yang Li, Hongbo Li. 2019-12-18. Improved quantum algorithm for the random subset sum problem. https://arxiv.org/abs/1912.09264

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