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Quantum computers can search arbitrarily large databases by a single query

Quantum Physics 2009-10-30 v3

Abstract

This paper shows that a quantum mechanical algorithm that can query information relating to multiple items of the database, can search a database in a single query (a query is defined as any question to the database to which the database has to return a (YES/NO) answer). A classical algorithm will be limited to the information theoretic bound of at least O(log N) queries (which it would achieve by using a binary search).

Keywords

Cite

@article{arxiv.quant-ph/9706005,
  title  = {Quantum computers can search arbitrarily large databases by a single query},
  author = {Lov K. Grover},
  journal= {arXiv preprint arXiv:quant-ph/9706005},
  year   = {2009}
}

Comments

Several enhancements to the original paper