Internal pattern matching queries in a text and applications

T Kociumaka, J Radoszewski, W Rytter, T Waleń - SIAM Journal on …, 2024 - SIAM
We consider several types of internal queries, that is, questions about fragments of a given
text specified in constant space by their locations in. Our main result is an optimal data …

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 …

Near-optimal quantum algorithms for bounded edit distance and lempel-ziv factorization

D Gibney, C Jin, T Kociumaka, SV Thankachan - Proceedings of the 2024 …, 2024 - SIAM
Measuring sequence similarity and compressing texts are among the most fundamental
tasks in string algorithms. In this work, we develop near-optimal quantum algorithms for the …

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 …

[PDF][PDF] On the Communication Complexity of Approximate Pattern Matching

T Kociumaka, J Nogler, P Wellnitz - … of the 56th Annual ACM Symposium …, 2024 - dl.acm.org
The decades-old Pattern Matching with Edits problem, given a length-n string T (the text), a
length-m string P (the pattern), and a positive integer k (the threshold), asks to list all …

Near-Optimal-Time Quantum Algorithms for Approximate Pattern Matching

T Kociumaka, J Nogler, P Wellnitz - Proceedings of the 2025 Annual ACM …, 2025 - SIAM
Abstract Approximate Pattern Matching is among the most fundamental string-processing
tasks. Given a text T of length n, a pattern P of length m, and a threshold k, the task is to …

Quantum Algorithms For String Problems

C Jin - 2022 - dspace.mit.edu
We design near-optimal quantum query algorithms for two important text processing
problems: Longest Common Substring and Lexicographically Minimal String Rotation …