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An information-theoretic analysis of Grover's algorithm

Erdal Arikan
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Abstract

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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Erdal Arikan. 2002-10-11. An information-theoretic analysis of Grover's algorithm. https://arxiv.org/abs/quant-ph/0210068

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