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Quantum search on structured problems

Lov K. Grover
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Abstract

This paper shows how a basic property of unitary transformations can be used for meaningful computations. This approach immediately leads to search-type applications, where it improves the number of steps by a square-root - a simple minded search that takes N steps, can be improved to O(sqrt(N)) steps. The quantum search algorithm is one of several immediate consequences of this framework. Several novel search-related applications are presented.

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BibTeXRIS

Lov K. Grover. 1998-02-12. Quantum search on structured problems. https://doi.org/10.1016/s0960-0779(98)00217-3

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