Orbital angular momentum (OAM) of photons is characterized with both optics vortices and high dimension, and shows great application potential in both classical and quantum fields. The experimental realizations of high-dimensional quantum gates accomplished in author’s group are summarized, such as three-qubit Toffoli gate, Fredkin gate, and the modulations to phase and amplitude of different OAM modes by using hybrid-entanglement between polarizationand OAM. Moreover, a deep-learning method is introduced to accurately recognize OAM modes under the misalignment coordinate. Furthermore, the quantum state transfer experiments of transferring a polarization state to another photon in the OAM state, and the preparation of four-dimensional Bell states are also reported in this review.