String Matching in ${\tilde O}(\sqrt{n}+\sqrt{m})$ Quantum Time

H. Ramesh; V. Vinay

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String Matching in ${\tilde O}(\sqrt{n}+\sqrt{m})$ Quantum Time

H. Ramesh·V. Vinay

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Abstract

We show how to determine whether a given pattern p of length m occurs in a given text t of length n in ${\tilde O}(\sqrt{n}+\sqrt{m})$\footnote{${\tilde O}$ allows for logarithmic factors in m and $n/m$} time, with inverse polynomial failure probability. This algorithm combines quantum searching algorithms with a technique from parallel string matching, called {\em Deterministic Sampling}.

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BibTeX RIS

H. Ramesh, V. Vinay. 2000-11-13. String Matching in ${\tilde O}(\sqrt{n}+\sqrt{m})$ Quantum Time. https://arxiv.org/abs/quant-ph/0011049

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