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Experimental NMR Realization of A Generalized Quantum Search Algorithm

G. L. Long·H. Y. Yan·Y. S. Li·C. C. Tu·J. X. Tao·H. M. Chen·M. L. Liu·X. Zhang·J. Luo·L. Xiao·X. Z. Zeng
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Abstract

A generalized quantum search algorithm, where phase inversions for the marked state and the prepared state are replaced by $π/2$ phase rotations, is realized in a 2-qubit NMR heteronuclear system. The quantum algorithm searches a marked state with a smaller step compared to standard Grover algorithm. Phase matching requirement in quantum searching is demonstrated by comparing it with another generalized algorithm where the two phase rotations are $π/2$ and $3π/2$ respectively. Pulse sequences which include non 90 degree pulses are given.

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G. L. Long, H. Y. Yan, Y. S. Li, C. C. Tu, J. X. Tao, H. M. Chen, M. L. Liu, X. Zhang, J. Luo, L. Xiao, X. Z. Zeng. 2001-06-13. Experimental NMR Realization of A Generalized Quantum Search Algorithm. https://doi.org/10.1016/s0375-9601(01)00416-9

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