Experimental NMR Realization of A Generalized Quantum Search Algorithm

Abstract

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 degree pulses are given.

12 pages, 2 figures, accepted for publication in Plysics Letters A