A quantum algorithm using suffix arrays and quantum longest-common-prefix comparisons solves multiple string matching in O*(n + sqrt(mL)) queries, matching the lower bound up to logs.
Big Data Mining and Analytics 3(1), 41–55 (2019)
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Quantum Algorithm for the Multiple String Matching Problem
A quantum algorithm using suffix arrays and quantum longest-common-prefix comparisons solves multiple string matching in O*(n + sqrt(mL)) queries, matching the lower bound up to logs.