No exponential quantum speedup for $\mathrm{SIS}^\infty$ anymore
October 08, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Robin Kothari, Ryan O'Donnell, Kewen Wu
arXiv ID
2510.07515
Category
quant-ph: Quantum Computing
Cross-listed
cs.CC,
cs.CR,
cs.DS
Citations
3
Venue
arXiv.org
Last Checked
5 months ago
Abstract
In 2021, Chen, Liu, and Zhandry presented an efficient quantum algorithm for the average-case $\ell_\infty$-Short Integer Solution ($\mathrm{SIS}^\infty$) problem, in a parameter range outside the normal range of cryptographic interest, but still with no known efficient classical algorithm. This was particularly exciting since $\mathrm{SIS}^\infty$ is a simple problem without structure, and their algorithmic techniques were different from those used in prior exponential quantum speedups. We present efficient classical algorithms for all of the $\mathrm{SIS}^\infty$ and (more general) Constrained Integer Solution problems studied in their paper, showing there is no exponential quantum speedup anymore.
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