  The adiabatic evolution is the dynamics of an instantaneous eigenstate of a
slowly varing Hamiltonian. Recently, an interesting phenomenon shows up that
white noises can enhance and even induce adiabaticity, which is in contrast to
previous perception that environmental noises always modify and even ruin a
designed adiabatic passage. We experimentally realized a noise-induced
adiabaticity in a nuclear magnetic resonance system. Adiabatic Hadamard gate
and entangled state are demonstrated. The effect of noise on adiabaticity is
experimentally exhibited and compared with the noise-free process. We utilized
a noise-injected method, which can be applied to other quantum systems.
