General phase-matching condition for a quantum searching algorithm

Che‐Ming Li, Chi-Chuan Hwang, Jin-Yuan Hsieh, Kuo-Shong Wang · Physical Review A · 2002

A general consideration of the phase rotations in a quantum searching algorithm is undertaken in this work. As four phase rotations on the initial state, the marked state, and the states orthogonal to them are taken into account, we deduce a phase-matching condition for a successful search. The optimal options for these phases are then obtained.

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