Realizations of standard quantum computational circuits by adiabatic evolution

We study the adiabatic equivalent of the standard quantum circuit of elementary logic operators. We propose a scheme for constructing time variations of the Hamiltonian. This scheme can be implemented sufficiently simply, for example, on nuclear spins controlled by radio-frequency pulses. As an illustration, we numerically simulate an adiabatic quantum algorithm for finding the permutation order for a system of five spins (qubits).