Grover's Algorithm for Multiobject Search in Quantum Computing

Physics – Quantum Physics

Scientific paper

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

Scientific paper

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.

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