Quantum Speed-Ups for String Synchronizing Sets, Longest Common Substring, and k-mismatch Matching

C Jin, J Nogler - ACM Transactions on Algorithms, 2024 - dl.acm.org
Longest common substring (LCS) is an important text processing problem, which has
recently been investigated in the quantum query model. The decision version of this …

On the quantum time complexity of divide and conquer

J Allcock, J Bao, A Belovs, T Lee, M Santha - arXiv preprint arXiv …, 2023 - arxiv.org
We initiate a systematic study of the time complexity of quantum divide and conquer
algorithms for classical problems. We establish generic conditions under which search and …