We present two new continuous time quantum search algorithms similar to the adiabatic search algorithm, but now without an adiabatic evolution. We find that both algorithms work for a wide range of values of the parameters of the Hamiltonian, and one of them has, as an additional feature that, for values of time larger than a characteristic one, it will converge to a state which can be close to the searched state.
Pérez Cañellas, Armando Romanelli, A. 2007 Nonadiabatic quantum search algorithms Physical Review A 76 052318-1 052318-7
