Work

A quantum algorithm for string matching

Year: 2021
Type: article
Abstract: Algorithms that search for a pattern within a larger data-set appear ubiquitously in text and image processing. Here, we present an explicit, circuit-level implementation of a quantum pattern-matching algorithm that matches a search string (pattern) of length M inside a longer text of length N . Our algorithm has a time complexity of $$\tilde{O}(\sqrt{N})$$ O ̃ ( N ) , while the space complexity remains modest at O ( N + M ). We report the quantum gate counts relevant for both pre-fault-tolerant and fault-tolerant regimes.
Language: English
Open Access status: gold
Estimated APC paid: $3,790
OpenAlex ID: W3132769815
FWCI: 2.455
Cites: 25
Cited by: 44
Related to: 10