Corpus ID: 118063418

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

  title={String Matching in \$\{\tilde O\}(\sqrt\{n\}+\sqrt\{m\})\$ Quantum Time},
  author={H. Ramesh and V. Vinay},
  journal={arXiv: Quantum Physics},
  • H. Ramesh, V. Vinay
  • Published 2000
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • 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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