An information-theoretic analysis of Grover's algorithm

Physics – Quantum Physics

Scientific paper

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8 pages, 1 figure, minor corrections

Scientific paper

Grover discovered a quantum algorithm for identifying a target element in an unstructured search universe of N items in approximately square-root of N queries to a quantum oracle, thus achieving a square-root speed-up over classical algorithms. We present an information-theoretic analysis of Grover's algorithm and show that the square-root speed-up is the best attainable result using Grover's oracle.

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