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Experimental NMR realization of a generalized quantum search algorithm. (English) Zbl 0969.81513
Summary: A generalized quantum search algorithm, where phase inversions for the marked state and the prepared state are replaced by $$\pi{}$$/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 $$\pi{}$$/2 and 3$$\pi{}$$/2, respectively. Pulse sequences which include non-90$$°{}$$ pulses are given.

##### MSC:
 81P68 Quantum computation
##### Keywords:
phase inversion; marked state search; phase matching
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##### References:
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