LOV K GROVER

Physics Research Laboratory, 1D435 Bell Labs, Lucent Technologies, 700 Mountain Avenue, Murray Hill, NJ07974, USA

Email: lkgrover@bell-labs.com

Abstract.

The quantum search algorithm is a technique for searching N possibilities in only O ((N )^½) steps. Although the algorithm itself is widely known, not so well known is the series of steps that first led to it, these are quite different from any of the generally known forms of the algorithm. This paper describes these steps, which start by discretizing Schrödinger's equation. This paper also provides a self contained introduction to quantum computing algorithms from a new perspective.

Keywords: Quantum computation; quantum search algorithm.

Pacs Nos. 03.67.Lx; 03.65.Bz