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Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time

Goong Chen·Stephen A. Fulling·Jeesen Chen
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Abstract

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

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Goong Chen, Stephen A. Fulling, Jeesen Chen. 2000-07-31. Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time. https://arxiv.org/abs/quant-ph/0007123

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