Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time
Goong Chen, S. A. Fulling, Jeesen Chen
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.
arXiv:quant-ph/0007123•Jul 31, 2000•0 citations