A quantum algorithm for string matching

Niroula, Pradeep; Nam, Yunseong

doi:10.1038/s41534-021-00369-3

A quantum algorithm for string matching

Journal Article · Mon Feb 15 23:00:00 EST 2021 · npj Quantum Information

DOI:https://doi.org/10.1038/s41534-021-00369-3· OSTI ID:1765937

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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 $$$$\tilde{O}(\sqrt{N})$$$$ $\tilde{O} (\sqrt{N})$ , 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.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0020312; SC0019040

OSTI ID:: 1765937

Alternate ID(s):: OSTI ID: 1852787

Journal Information:: npj Quantum Information, Journal Name: npj Quantum Information Journal Issue: 1 Vol. 7; ISSN 2056-6387

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (19)

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