Quantum computers can search arbitrarily large databases by a single query
arXiv:quant-ph/9706005 · doi:10.1103/PhysRevLett.79.4709
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).
Several enhancements to the original paper
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