Grover's Algorithm for Multiobject Search in Quantum Computing

Abstract

L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedup in the search for a single object in a large unsorted database. In this paper, we expound Grover's algorithm in a Hilbert-space framework that isolates its geometrical essence, and we generalize it to the case where more than one object satisfies the search criterion.

11 pages, LaTeX; for proceedings of Jackson Hole Quantum Optics Workshop in honor of Daniel Walls Corrections and minor revisions